Ising model (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Ising model" in English language version.

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link.aip.org

Montroll, Potts & Ward 1963, pp. 308–309 Montroll, Elliott W.; Potts, Renfrey B.; Ward, John C. (1963), "Correlations and spontaneous magnetization of the two-dimensional Ising model", Journal of Mathematical Physics, 4 (2): 308–322, Bibcode:1963JMP.....4..308M, doi:10.1063/1.1703955, ISSN 0022-2488, MR 0148406, archived from the original on 2013-01-12, retrieved 2009-10-25

pubs.aip.org

Maris, Humphrey J.; Kadanoff, Leo P. (June 1978). "Teaching the renormalization group". American Journal of Physics. 46 (6): 652–657. doi:10.1119/1.11224. ISSN 0002-9505.

ams.org

mathscinet.ams.org

See Gallavotti (1999), Chapters VI-VII. Gallavotti, G. (1999), Statistical mechanics, Texts and Monographs in Physics, Berlin: Springer-Verlag, doi:10.1007/978-3-662-03952-6, ISBN 978-3-540-64883-3, MR 1707309
Montroll, Potts & Ward 1963, pp. 308–309 Montroll, Elliott W.; Potts, Renfrey B.; Ward, John C. (1963), "Correlations and spontaneous magnetization of the two-dimensional Ising model", Journal of Mathematical Physics, 4 (2): 308–322, Bibcode:1963JMP.....4..308M, doi:10.1063/1.1703955, ISSN 0022-2488, MR 0148406, archived from the original on 2013-01-12, retrieved 2009-10-25
Baxter, Rodney J. (1982), Exactly solved models in statistical mechanics, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-083180-7, MR 0690578, archived from the original on 2012-03-20, retrieved 2009-10-25

anu.edu.au

tpsrv.anu.edu.au

Baxter, Rodney J. (1982), Exactly solved models in statistical mechanics, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-083180-7, MR 0690578, archived from the original on 2012-03-20, retrieved 2009-10-25

aps.org

journals.aps.org

Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3): 032141. arXiv:1405.4497. doi:10.1103/PhysRevE.90.032141. PMID 25314429. S2CID 118355454. Retrieved 2022-08-09.

archive.org

See Baierlein (1999), Chapter 16. Baierlein, R. (1999), Thermal Physics, Cambridge: Cambridge University Press, ISBN 978-0-521-59082-2

archive.today

Montroll, Potts & Ward 1963, pp. 308–309 Montroll, Elliott W.; Potts, Renfrey B.; Ward, John C. (1963), "Correlations and spontaneous magnetization of the two-dimensional Ising model", Journal of Mathematical Physics, 4 (2): 308–322, Bibcode:1963JMP.....4..308M, doi:10.1063/1.1703955, ISSN 0022-2488, MR 0148406, archived from the original on 2013-01-12, retrieved 2009-10-25

arxiv.org

El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. C -Minimization and Precise Critical Exponents" (PDF). Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708. Archived from the original (PDF) on 2014-04-07. Retrieved 2013-04-21.
Duminil-Copin, Hugo; Tassion, Vincent (2016-04-01). "A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model". Communications in Mathematical Physics. 343 (2): 725–745. arXiv:1502.03050. Bibcode:2016CMaPh.343..725D. doi:10.1007/s00220-015-2480-z. ISSN 1432-0916. S2CID 119330137.
Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3): 032141. arXiv:1405.4497. doi:10.1103/PhysRevE.90.032141. PMID 25314429. S2CID 118355454. Retrieved 2022-08-09.
Billó, M.; Caselle, M.; Gaiotto, D.; Gliozzi, F.; Meineri, M.; others (2013). "Line defects in the 3d Ising model". JHEP. 1307 (7): 055. arXiv:1304.4110. Bibcode:2013JHEP...07..055B. doi:10.1007/JHEP07(2013)055. S2CID 119226610.
Cosme, Catarina; Lopes, J. M. Viana Parente; Penedones, Joao (2015). "Conformal symmetry of the critical 3D Ising model inside a sphere". Journal of High Energy Physics. 2015 (8): 22. arXiv:1503.02011. Bibcode:2015JHEP...08..022C. doi:10.1007/JHEP08(2015)022. S2CID 53710971.
Zhu, Wei; Han, Chao; Huffman, Emilie; Hofmann, Johannes S.; He, Yin-Chen (2023). "Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization". Physical Review X. 13 (2): 021009. arXiv:2210.13482. doi:10.1103/PhysRevX.13.021009. S2CID 253107625.
Delamotte, Bertrand; Tissier, Matthieu; Wschebor, Nicolás (2016). "Scale invariance implies conformal invariance for the three-dimensional Ising model". Physical Review E. 93 (12144): 012144. arXiv:1501.01776. Bibcode:2016PhRvE..93a2144D. doi:10.1103/PhysRevE.93.012144. PMID 26871060. S2CID 14538564.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2012). "Solving the 3D Ising Model with the Conformal Bootstrap". Phys. Rev. D86 (2): 025022. arXiv:1203.6064. Bibcode:2012PhRvD..86b5022E. doi:10.1103/PhysRevD.86.025022. S2CID 39692193.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents". Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708.
Simmons-Duffin, David (2015). "A semidefinite program solver for the conformal bootstrap". Journal of High Energy Physics. 2015 (6): 174. arXiv:1502.02033. Bibcode:2015JHEP...06..174S. doi:10.1007/JHEP06(2015)174. ISSN 1029-8479. S2CID 35625559.
Shi, Y.; Duke, T. (1998-11-01). "Cooperative model of bacteril sensing". Physical Review E. 58 (5): 6399–6406. arXiv:physics/9901052. Bibcode:1998PhRvE..58.6399S. doi:10.1103/PhysRevE.58.6399. S2CID 18854281.
Schmidhuber, Juergen (2022). "Annotated History of Modern AI and Deep Learning". arXiv:2212.11279 [cs.NE].
Elad Schneidman; Michael J. Berry; Ronen Segev; William Bialek (2006), "Weak pairwise correlations imply strongly correlated network states in a neural population", Nature, 440 (7087): 1007–1012, arXiv:q-bio/0512013, Bibcode:2006Natur.440.1007S, doi:10.1038/nature04701, PMC 1785327, PMID 16625187.
Yi-Ping Ma; Ivan Sudakov; Courtenay Strong; Kenneth Golden (2017). "Ising model for melt ponds on Arctic sea ice". arXiv:1408.2487v3 [physics.ao-ph].

au.dk

users-phys.au.dk

El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. C -Minimization and Precise Critical Exponents" (PDF). Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708. Archived from the original (PDF) on 2014-04-07. Retrieved 2013-04-21.

books.google.com

Ruelle, David (1999) [1969]. Statistical Mechanics: Rigorous Results. World Scientific. ISBN 978-981-4495-00-4.

caltech.edu

authors.library.caltech.edu

"Ken Wilson recalls how Murray Gell-Mann suggested that he solve the three-dimensional Ising model".

cern.ch

cds.cern.ch

Suzuki, Sei; Inoue, Jun-ichi; Chakrabarti, Bikas K. (2012). Quantum Ising Phases and Transitions in Transverse Ising Models. Springer. doi:10.1007/978-3-642-33039-1. ISBN 978-3-642-33038-4.

condmatjournalclub.org

Kadanoff, Leo P. (April 30, 2014). "Deep Understanding Achieved on the 3d Ising Model". Journal Club for Condensed Matter Physics. Archived from the original on July 22, 2015. Retrieved July 19, 2015.

doi.org

See Gallavotti (1999), Chapters VI-VII. Gallavotti, G. (1999), Statistical mechanics, Texts and Monographs in Physics, Berlin: Springer-Verlag, doi:10.1007/978-3-662-03952-6, ISBN 978-3-540-64883-3, MR 1707309
Barahona, Francisco; Grötschel, Martin; Jünger, Michael; Reinelt, Gerhard (1988). "An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design". Operations Research. 36 (3): 493–513. doi:10.1287/opre.36.3.493. ISSN 0030-364X. JSTOR 170992.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. C -Minimization and Precise Critical Exponents" (PDF). Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708. Archived from the original (PDF) on 2014-04-07. Retrieved 2013-04-21.
Peierls, R.; Born, M. (1936). "On Ising's model of ferromagnetism". Mathematical Proceedings of the Cambridge Philosophical Society. 32 (3): 477. Bibcode:1936PCPS...32..477P. doi:10.1017/S0305004100019174. S2CID 122630492.
Montroll, Potts & Ward 1963, pp. 308–309 Montroll, Elliott W.; Potts, Renfrey B.; Ward, John C. (1963), "Correlations and spontaneous magnetization of the two-dimensional Ising model", Journal of Mathematical Physics, 4 (2): 308–322, Bibcode:1963JMP.....4..308M, doi:10.1063/1.1703955, ISSN 0022-2488, MR 0148406, archived from the original on 2013-01-12, retrieved 2009-10-25
Simon, Barry (1980-10-01). "Correlation inequalities and the decay of correlations in ferromagnets". Communications in Mathematical Physics. 77 (2): 111–126. Bibcode:1980CMaPh..77..111S. doi:10.1007/BF01982711. ISSN 1432-0916. S2CID 17543488.
Duminil-Copin, Hugo; Tassion, Vincent (2016-04-01). "A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model". Communications in Mathematical Physics. 343 (2): 725–745. arXiv:1502.03050. Bibcode:2016CMaPh.343..725D. doi:10.1007/s00220-015-2480-z. ISSN 1432-0916. S2CID 119330137.
Beffara, Vincent; Duminil-Copin, Hugo (2012-08-01). "The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1". Probability Theory and Related Fields. 153 (3): 511–542. doi:10.1007/s00440-011-0353-8. ISSN 1432-2064. S2CID 55391558.
Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3): 032141. arXiv:1405.4497. doi:10.1103/PhysRevE.90.032141. PMID 25314429. S2CID 118355454. Retrieved 2022-08-09.
Teif, Vladimir B. (2007). "General transfer matrix formalism to calculate DNA-protein-drug binding in gene regulation". Nucleic Acids Res. 35 (11): e80. doi:10.1093/nar/gkm268. PMC 1920246. PMID 17526526.
Dyson, F. J. (1969). "Existence of a phase-transition in a one-dimensional Ising ferromagnet". Comm. Math. Phys. 12 (2): 91–107. Bibcode:1969CMaPh..12...91D. doi:10.1007/BF01645907. S2CID 122117175.
Fröhlich, J.; Spencer, T. (1982). "The phase transition in the one-dimensional Ising model with 1/r² interaction energy". Comm. Math. Phys. 84 (1): 87–101. Bibcode:1982CMaPh..84...87F. doi:10.1007/BF01208373. S2CID 122722140.
Suzuki, Sei; Inoue, Jun-ichi; Chakrabarti, Bikas K. (2012). Quantum Ising Phases and Transitions in Transverse Ising Models. Springer. doi:10.1007/978-3-642-33039-1. ISBN 978-3-642-33038-4.
Maris, Humphrey J.; Kadanoff, Leo P. (June 1978). "Teaching the renormalization group". American Journal of Physics. 46 (6): 652–657. doi:10.1119/1.11224. ISSN 0002-9505.
Billó, M.; Caselle, M.; Gaiotto, D.; Gliozzi, F.; Meineri, M.; others (2013). "Line defects in the 3d Ising model". JHEP. 1307 (7): 055. arXiv:1304.4110. Bibcode:2013JHEP...07..055B. doi:10.1007/JHEP07(2013)055. S2CID 119226610.
Cosme, Catarina; Lopes, J. M. Viana Parente; Penedones, Joao (2015). "Conformal symmetry of the critical 3D Ising model inside a sphere". Journal of High Energy Physics. 2015 (8): 22. arXiv:1503.02011. Bibcode:2015JHEP...08..022C. doi:10.1007/JHEP08(2015)022. S2CID 53710971.
Zhu, Wei; Han, Chao; Huffman, Emilie; Hofmann, Johannes S.; He, Yin-Chen (2023). "Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization". Physical Review X. 13 (2): 021009. arXiv:2210.13482. doi:10.1103/PhysRevX.13.021009. S2CID 253107625.
Delamotte, Bertrand; Tissier, Matthieu; Wschebor, Nicolás (2016). "Scale invariance implies conformal invariance for the three-dimensional Ising model". Physical Review E. 93 (12144): 012144. arXiv:1501.01776. Bibcode:2016PhRvE..93a2144D. doi:10.1103/PhysRevE.93.012144. PMID 26871060. S2CID 14538564.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2012). "Solving the 3D Ising Model with the Conformal Bootstrap". Phys. Rev. D86 (2): 025022. arXiv:1203.6064. Bibcode:2012PhRvD..86b5022E. doi:10.1103/PhysRevD.86.025022. S2CID 39692193.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents". Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708.
Simmons-Duffin, David (2015). "A semidefinite program solver for the conformal bootstrap". Journal of High Energy Physics. 2015 (6): 174. arXiv:1502.02033. Bibcode:2015JHEP...06..174S. doi:10.1007/JHEP06(2015)174. ISSN 1029-8479. S2CID 35625559.
Shi, Y.; Duke, T. (1998-11-01). "Cooperative model of bacteril sensing". Physical Review E. 58 (5): 6399–6406. arXiv:physics/9901052. Bibcode:1998PhRvE..58.6399S. doi:10.1103/PhysRevE.58.6399. S2CID 18854281.
Bai, Fan; Branch, Richard W.; Nicolau, Dan V.; Pilizota, Teuta; Steel, Bradley C.; Maini, Philip K.; Berry, Richard M. (2010-02-05). "Conformational Spread as a Mechanism for Cooperativity in the Bacterial Flagellar Switch". Science. 327 (5966): 685–689. Bibcode:2010Sci...327..685B. doi:10.1126/science.1182105. ISSN 0036-8075. PMID 20133571. S2CID 206523521.
Vtyurina, Natalia N.; Dulin, David; Docter, Margreet W.; Meyer, Anne S.; Dekker, Nynke H.; Abbondanzieri, Elio A. (2016-04-18). "Hysteresis in DNA compaction by Dps is described by an Ising model". Proceedings of the National Academy of Sciences. 113 (18): 4982–7. Bibcode:2016PNAS..113.4982V. doi:10.1073/pnas.1521241113. ISSN 0027-8424. PMC 4983820. PMID 27091987.
J. J. Hopfield (1982), "Neural networks and physical systems with emergent collective computational abilities", Proceedings of the National Academy of Sciences of the USA, 79 (8): 2554–2558, Bibcode:1982PNAS...79.2554H, doi:10.1073/pnas.79.8.2554, PMC 346238, PMID 6953413.
Jaynes, E. T. (1957), "Information Theory and Statistical Mechanics", Physical Review, 106 (4): 620–630, Bibcode:1957PhRv..106..620J, doi:10.1103/PhysRev.106.620, S2CID 17870175.
Jaynes, Edwin T. (1957), "Information Theory and Statistical Mechanics II", Physical Review, 108 (2): 171–190, Bibcode:1957PhRv..108..171J, doi:10.1103/PhysRev.108.171.
Elad Schneidman; Michael J. Berry; Ronen Segev; William Bialek (2006), "Weak pairwise correlations imply strongly correlated network states in a neural population", Nature, 440 (7087): 1007–1012, arXiv:q-bio/0512013, Bibcode:2006Natur.440.1007S, doi:10.1038/nature04701, PMC 1785327, PMID 16625187.
J-S Wang, W Selke, VB Andreichenko, and VS Dotsenko (1990), "The critical behaviour of the two-dimensional dilute model", Physica A, 164 (2): 221–239, Bibcode:1990PhyA..164..221W, doi:10.1016/0378-4371(90)90196-Y{{citation}}: CS1 maint: multiple names: authors list (link)

github.com

"For example, SquareIsingModel.jl (in Julia)". GitHub. 28 June 2022.

harvard.edu

ui.adsabs.harvard.edu

El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. C -Minimization and Precise Critical Exponents" (PDF). Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708. Archived from the original (PDF) on 2014-04-07. Retrieved 2013-04-21.
Peierls, R.; Born, M. (1936). "On Ising's model of ferromagnetism". Mathematical Proceedings of the Cambridge Philosophical Society. 32 (3): 477. Bibcode:1936PCPS...32..477P. doi:10.1017/S0305004100019174. S2CID 122630492.
Montroll, Potts & Ward 1963, pp. 308–309 Montroll, Elliott W.; Potts, Renfrey B.; Ward, John C. (1963), "Correlations and spontaneous magnetization of the two-dimensional Ising model", Journal of Mathematical Physics, 4 (2): 308–322, Bibcode:1963JMP.....4..308M, doi:10.1063/1.1703955, ISSN 0022-2488, MR 0148406, archived from the original on 2013-01-12, retrieved 2009-10-25
Simon, Barry (1980-10-01). "Correlation inequalities and the decay of correlations in ferromagnets". Communications in Mathematical Physics. 77 (2): 111–126. Bibcode:1980CMaPh..77..111S. doi:10.1007/BF01982711. ISSN 1432-0916. S2CID 17543488.
Duminil-Copin, Hugo; Tassion, Vincent (2016-04-01). "A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model". Communications in Mathematical Physics. 343 (2): 725–745. arXiv:1502.03050. Bibcode:2016CMaPh.343..725D. doi:10.1007/s00220-015-2480-z. ISSN 1432-0916. S2CID 119330137.
Dyson, F. J. (1969). "Existence of a phase-transition in a one-dimensional Ising ferromagnet". Comm. Math. Phys. 12 (2): 91–107. Bibcode:1969CMaPh..12...91D. doi:10.1007/BF01645907. S2CID 122117175.
Fröhlich, J.; Spencer, T. (1982). "The phase transition in the one-dimensional Ising model with 1/r² interaction energy". Comm. Math. Phys. 84 (1): 87–101. Bibcode:1982CMaPh..84...87F. doi:10.1007/BF01208373. S2CID 122722140.
Billó, M.; Caselle, M.; Gaiotto, D.; Gliozzi, F.; Meineri, M.; others (2013). "Line defects in the 3d Ising model". JHEP. 1307 (7): 055. arXiv:1304.4110. Bibcode:2013JHEP...07..055B. doi:10.1007/JHEP07(2013)055. S2CID 119226610.
Cosme, Catarina; Lopes, J. M. Viana Parente; Penedones, Joao (2015). "Conformal symmetry of the critical 3D Ising model inside a sphere". Journal of High Energy Physics. 2015 (8): 22. arXiv:1503.02011. Bibcode:2015JHEP...08..022C. doi:10.1007/JHEP08(2015)022. S2CID 53710971.
Delamotte, Bertrand; Tissier, Matthieu; Wschebor, Nicolás (2016). "Scale invariance implies conformal invariance for the three-dimensional Ising model". Physical Review E. 93 (12144): 012144. arXiv:1501.01776. Bibcode:2016PhRvE..93a2144D. doi:10.1103/PhysRevE.93.012144. PMID 26871060. S2CID 14538564.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2012). "Solving the 3D Ising Model with the Conformal Bootstrap". Phys. Rev. D86 (2): 025022. arXiv:1203.6064. Bibcode:2012PhRvD..86b5022E. doi:10.1103/PhysRevD.86.025022. S2CID 39692193.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents". Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708.
Simmons-Duffin, David (2015). "A semidefinite program solver for the conformal bootstrap". Journal of High Energy Physics. 2015 (6): 174. arXiv:1502.02033. Bibcode:2015JHEP...06..174S. doi:10.1007/JHEP06(2015)174. ISSN 1029-8479. S2CID 35625559.
Shi, Y.; Duke, T. (1998-11-01). "Cooperative model of bacteril sensing". Physical Review E. 58 (5): 6399–6406. arXiv:physics/9901052. Bibcode:1998PhRvE..58.6399S. doi:10.1103/PhysRevE.58.6399. S2CID 18854281.
Bai, Fan; Branch, Richard W.; Nicolau, Dan V.; Pilizota, Teuta; Steel, Bradley C.; Maini, Philip K.; Berry, Richard M. (2010-02-05). "Conformational Spread as a Mechanism for Cooperativity in the Bacterial Flagellar Switch". Science. 327 (5966): 685–689. Bibcode:2010Sci...327..685B. doi:10.1126/science.1182105. ISSN 0036-8075. PMID 20133571. S2CID 206523521.
Vtyurina, Natalia N.; Dulin, David; Docter, Margreet W.; Meyer, Anne S.; Dekker, Nynke H.; Abbondanzieri, Elio A. (2016-04-18). "Hysteresis in DNA compaction by Dps is described by an Ising model". Proceedings of the National Academy of Sciences. 113 (18): 4982–7. Bibcode:2016PNAS..113.4982V. doi:10.1073/pnas.1521241113. ISSN 0027-8424. PMC 4983820. PMID 27091987.
J. J. Hopfield (1982), "Neural networks and physical systems with emergent collective computational abilities", Proceedings of the National Academy of Sciences of the USA, 79 (8): 2554–2558, Bibcode:1982PNAS...79.2554H, doi:10.1073/pnas.79.8.2554, PMC 346238, PMID 6953413.
Jaynes, E. T. (1957), "Information Theory and Statistical Mechanics", Physical Review, 106 (4): 620–630, Bibcode:1957PhRv..106..620J, doi:10.1103/PhysRev.106.620, S2CID 17870175.
Jaynes, Edwin T. (1957), "Information Theory and Statistical Mechanics II", Physical Review, 108 (2): 171–190, Bibcode:1957PhRv..108..171J, doi:10.1103/PhysRev.108.171.
Elad Schneidman; Michael J. Berry; Ronen Segev; William Bialek (2006), "Weak pairwise correlations imply strongly correlated network states in a neural population", Nature, 440 (7087): 1007–1012, arXiv:q-bio/0512013, Bibcode:2006Natur.440.1007S, doi:10.1038/nature04701, PMC 1785327, PMID 16625187.
J-S Wang, W Selke, VB Andreichenko, and VS Dotsenko (1990), "The critical behaviour of the two-dimensional dilute model", Physica A, 164 (2): 221–239, Bibcode:1990PhyA..164..221W, doi:10.1016/0378-4371(90)90196-Y{{citation}}: CS1 maint: multiple names: authors list (link)

hs-augsburg.de

Ernst Ising, Contribution to the Theory of Ferromagnetism

jstor.org

Barahona, Francisco; Grötschel, Martin; Jünger, Michael; Reinelt, Gerhard (1988). "An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design". Operations Research. 36 (3): 493–513. doi:10.1287/opre.36.3.493. ISSN 0030-364X. JSTOR 170992.

nih.gov

pubmed.ncbi.nlm.nih.gov

Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3): 032141. arXiv:1405.4497. doi:10.1103/PhysRevE.90.032141. PMID 25314429. S2CID 118355454. Retrieved 2022-08-09.
Teif, Vladimir B. (2007). "General transfer matrix formalism to calculate DNA-protein-drug binding in gene regulation". Nucleic Acids Res. 35 (11): e80. doi:10.1093/nar/gkm268. PMC 1920246. PMID 17526526.
Delamotte, Bertrand; Tissier, Matthieu; Wschebor, Nicolás (2016). "Scale invariance implies conformal invariance for the three-dimensional Ising model". Physical Review E. 93 (12144): 012144. arXiv:1501.01776. Bibcode:2016PhRvE..93a2144D. doi:10.1103/PhysRevE.93.012144. PMID 26871060. S2CID 14538564.
Bai, Fan; Branch, Richard W.; Nicolau, Dan V.; Pilizota, Teuta; Steel, Bradley C.; Maini, Philip K.; Berry, Richard M. (2010-02-05). "Conformational Spread as a Mechanism for Cooperativity in the Bacterial Flagellar Switch". Science. 327 (5966): 685–689. Bibcode:2010Sci...327..685B. doi:10.1126/science.1182105. ISSN 0036-8075. PMID 20133571. S2CID 206523521.
Vtyurina, Natalia N.; Dulin, David; Docter, Margreet W.; Meyer, Anne S.; Dekker, Nynke H.; Abbondanzieri, Elio A. (2016-04-18). "Hysteresis in DNA compaction by Dps is described by an Ising model". Proceedings of the National Academy of Sciences. 113 (18): 4982–7. Bibcode:2016PNAS..113.4982V. doi:10.1073/pnas.1521241113. ISSN 0027-8424. PMC 4983820. PMID 27091987.
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ncbi.nlm.nih.gov

Teif, Vladimir B. (2007). "General transfer matrix formalism to calculate DNA-protein-drug binding in gene regulation". Nucleic Acids Res. 35 (11): e80. doi:10.1093/nar/gkm268. PMC 1920246. PMID 17526526.
Vtyurina, Natalia N.; Dulin, David; Docter, Margreet W.; Meyer, Anne S.; Dekker, Nynke H.; Abbondanzieri, Elio A. (2016-04-18). "Hysteresis in DNA compaction by Dps is described by an Ising model". Proceedings of the National Academy of Sciences. 113 (18): 4982–7. Bibcode:2016PNAS..113.4982V. doi:10.1073/pnas.1521241113. ISSN 0027-8424. PMC 4983820. PMID 27091987.
J. J. Hopfield (1982), "Neural networks and physical systems with emergent collective computational abilities", Proceedings of the National Academy of Sciences of the USA, 79 (8): 2554–2558, Bibcode:1982PNAS...79.2554H, doi:10.1073/pnas.79.8.2554, PMC 346238, PMID 6953413.
Elad Schneidman; Michael J. Berry; Ronen Segev; William Bialek (2006), "Weak pairwise correlations imply strongly correlated network states in a neural population", Nature, 440 (7087): 1007–1012, arXiv:q-bio/0512013, Bibcode:2006Natur.440.1007S, doi:10.1038/nature04701, PMC 1785327, PMID 16625187.

projecteuclid.org

Dyson, F. J. (1969). "Existence of a phase-transition in a one-dimensional Ising ferromagnet". Comm. Math. Phys. 12 (2): 91–107. Bibcode:1969CMaPh..12...91D. doi:10.1007/BF01645907. S2CID 122117175.
Fröhlich, J.; Spencer, T. (1982). "The phase transition in the one-dimensional Ising model with 1/r² interaction energy". Comm. Math. Phys. 84 (1): 87–101. Bibcode:1982CMaPh..84...87F. doi:10.1007/BF01208373. S2CID 122722140.

quantamagazine.org

Wood, Charlie (24 June 2020). "The Cartoon Picture of Magnets That Has Transformed Science". Quanta Magazine. Retrieved 2020-06-26.

semanticscholar.org

api.semanticscholar.org

El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. C -Minimization and Precise Critical Exponents" (PDF). Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708. Archived from the original (PDF) on 2014-04-07. Retrieved 2013-04-21.
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Simon, Barry (1980-10-01). "Correlation inequalities and the decay of correlations in ferromagnets". Communications in Mathematical Physics. 77 (2): 111–126. Bibcode:1980CMaPh..77..111S. doi:10.1007/BF01982711. ISSN 1432-0916. S2CID 17543488.
Duminil-Copin, Hugo; Tassion, Vincent (2016-04-01). "A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model". Communications in Mathematical Physics. 343 (2): 725–745. arXiv:1502.03050. Bibcode:2016CMaPh.343..725D. doi:10.1007/s00220-015-2480-z. ISSN 1432-0916. S2CID 119330137.
Beffara, Vincent; Duminil-Copin, Hugo (2012-08-01). "The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1". Probability Theory and Related Fields. 153 (3): 511–542. doi:10.1007/s00440-011-0353-8. ISSN 1432-2064. S2CID 55391558.
Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3): 032141. arXiv:1405.4497. doi:10.1103/PhysRevE.90.032141. PMID 25314429. S2CID 118355454. Retrieved 2022-08-09.
Dyson, F. J. (1969). "Existence of a phase-transition in a one-dimensional Ising ferromagnet". Comm. Math. Phys. 12 (2): 91–107. Bibcode:1969CMaPh..12...91D. doi:10.1007/BF01645907. S2CID 122117175.
Fröhlich, J.; Spencer, T. (1982). "The phase transition in the one-dimensional Ising model with 1/r² interaction energy". Comm. Math. Phys. 84 (1): 87–101. Bibcode:1982CMaPh..84...87F. doi:10.1007/BF01208373. S2CID 122722140.
Billó, M.; Caselle, M.; Gaiotto, D.; Gliozzi, F.; Meineri, M.; others (2013). "Line defects in the 3d Ising model". JHEP. 1307 (7): 055. arXiv:1304.4110. Bibcode:2013JHEP...07..055B. doi:10.1007/JHEP07(2013)055. S2CID 119226610.
Cosme, Catarina; Lopes, J. M. Viana Parente; Penedones, Joao (2015). "Conformal symmetry of the critical 3D Ising model inside a sphere". Journal of High Energy Physics. 2015 (8): 22. arXiv:1503.02011. Bibcode:2015JHEP...08..022C. doi:10.1007/JHEP08(2015)022. S2CID 53710971.
Zhu, Wei; Han, Chao; Huffman, Emilie; Hofmann, Johannes S.; He, Yin-Chen (2023). "Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization". Physical Review X. 13 (2): 021009. arXiv:2210.13482. doi:10.1103/PhysRevX.13.021009. S2CID 253107625.
Delamotte, Bertrand; Tissier, Matthieu; Wschebor, Nicolás (2016). "Scale invariance implies conformal invariance for the three-dimensional Ising model". Physical Review E. 93 (12144): 012144. arXiv:1501.01776. Bibcode:2016PhRvE..93a2144D. doi:10.1103/PhysRevE.93.012144. PMID 26871060. S2CID 14538564.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2012). "Solving the 3D Ising Model with the Conformal Bootstrap". Phys. Rev. D86 (2): 025022. arXiv:1203.6064. Bibcode:2012PhRvD..86b5022E. doi:10.1103/PhysRevD.86.025022. S2CID 39692193.
El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents". Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708.
Simmons-Duffin, David (2015). "A semidefinite program solver for the conformal bootstrap". Journal of High Energy Physics. 2015 (6): 174. arXiv:1502.02033. Bibcode:2015JHEP...06..174S. doi:10.1007/JHEP06(2015)174. ISSN 1029-8479. S2CID 35625559.
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siam.org

archive.siam.org

Cipra, Barry A. (2000). "The Ising Model Is NP-Complete" (PDF). SIAM News. 33 (6).

web.archive.org

El-Showk, Sheer; Paulos, Miguel F.; Poland, David; Rychkov, Slava; Simmons-Duffin, David; Vichi, Alessandro (2014). "Solving the 3d Ising Model with the Conformal Bootstrap II. C -Minimization and Precise Critical Exponents" (PDF). Journal of Statistical Physics. 157 (4–5): 869–914. arXiv:1403.4545. Bibcode:2014JSP...157..869E. doi:10.1007/s10955-014-1042-7. S2CID 119627708. Archived from the original (PDF) on 2014-04-07. Retrieved 2013-04-21.
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worldcat.org

search.worldcat.org

Barahona, Francisco; Grötschel, Martin; Jünger, Michael; Reinelt, Gerhard (1988). "An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design". Operations Research. 36 (3): 493–513. doi:10.1287/opre.36.3.493. ISSN 0030-364X. JSTOR 170992.
Montroll, Potts & Ward 1963, pp. 308–309 Montroll, Elliott W.; Potts, Renfrey B.; Ward, John C. (1963), "Correlations and spontaneous magnetization of the two-dimensional Ising model", Journal of Mathematical Physics, 4 (2): 308–322, Bibcode:1963JMP.....4..308M, doi:10.1063/1.1703955, ISSN 0022-2488, MR 0148406, archived from the original on 2013-01-12, retrieved 2009-10-25
Simon, Barry (1980-10-01). "Correlation inequalities and the decay of correlations in ferromagnets". Communications in Mathematical Physics. 77 (2): 111–126. Bibcode:1980CMaPh..77..111S. doi:10.1007/BF01982711. ISSN 1432-0916. S2CID 17543488.
Duminil-Copin, Hugo; Tassion, Vincent (2016-04-01). "A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model". Communications in Mathematical Physics. 343 (2): 725–745. arXiv:1502.03050. Bibcode:2016CMaPh.343..725D. doi:10.1007/s00220-015-2480-z. ISSN 1432-0916. S2CID 119330137.
Beffara, Vincent; Duminil-Copin, Hugo (2012-08-01). "The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1". Probability Theory and Related Fields. 153 (3): 511–542. doi:10.1007/s00440-011-0353-8. ISSN 1432-2064. S2CID 55391558.
Maris, Humphrey J.; Kadanoff, Leo P. (June 1978). "Teaching the renormalization group". American Journal of Physics. 46 (6): 652–657. doi:10.1119/1.11224. ISSN 0002-9505.
Simmons-Duffin, David (2015). "A semidefinite program solver for the conformal bootstrap". Journal of High Energy Physics. 2015 (6): 174. arXiv:1502.02033. Bibcode:2015JHEP...06..174S. doi:10.1007/JHEP06(2015)174. ISSN 1029-8479. S2CID 35625559.
Bai, Fan; Branch, Richard W.; Nicolau, Dan V.; Pilizota, Teuta; Steel, Bradley C.; Maini, Philip K.; Berry, Richard M. (2010-02-05). "Conformational Spread as a Mechanism for Cooperativity in the Bacterial Flagellar Switch". Science. 327 (5966): 685–689. Bibcode:2010Sci...327..685B. doi:10.1126/science.1182105. ISSN 0036-8075. PMID 20133571. S2CID 206523521.
Vtyurina, Natalia N.; Dulin, David; Docter, Margreet W.; Meyer, Anne S.; Dekker, Nynke H.; Abbondanzieri, Elio A. (2016-04-18). "Hysteresis in DNA compaction by Dps is described by an Ising model". Proceedings of the National Academy of Sciences. 113 (18): 4982–7. Bibcode:2016PNAS..113.4982V. doi:10.1073/pnas.1521241113. ISSN 0027-8424. PMC 4983820. PMID 27091987.