Ising model (English Wikipedia)

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

Last modified: 10:19:48, 2 May 2026 (UTC)

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3937doi.org

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3129adsabs.harvard.edu

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1818semanticscholar.org

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1414nih.gov

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53ams.org

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42aip.org

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33web.archive.org

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33aps.org

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21books.google.com

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11quantamagazine.org

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adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Samuel, Stuart (1980). "The use of anticommuting variable integrals in statistical mechanics. I. The computation of partition functions". Journal of Mathematical Physics. 21 (12): 2806–2814. Bibcode:1980JMP....21.2806S. doi:10.1063/1.524404.
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. (1936). "On Ising's model of ferromagnetism". Mathematical Proceedings of the Cambridge Philosophical Society. 32 (3): 477–481. 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, retrieved 2009-10-25{{citation}}: CS1 maint: deprecated archival service (link)
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.
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.
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)
Nakano, Kaoru (1972). "Associatron-A Model of Associative Memory". IEEE Transactions on Systems, Man, and Cybernetics. SMC-2 (3): 380–388. Bibcode:1972ITSMC...2..380N. doi:10.1109/TSMC.1972.4309133.
Sherrington, David; Kirkpatrick, Scott (1975-12-29). "Solvable Model of a Spin-Glass". Physical Review Letters. 35 (26): 1792–1796. Bibcode:1975PhRvL..35.1792S. doi:10.1103/PhysRevLett.35.1792. ISSN 0031-9007.
Hopfield, J. J. (1982). "Neural networks and physical systems with emergent collective computational abilities". Proceedings of the National Academy of Sciences. 79 (8): 2554–2558. Bibcode:1982PNAS...79.2554H. doi:10.1073/pnas.79.8.2554. PMC 346238. PMID 6953413.
Hopfield, J. J. (1984). "Neurons with graded response have collective computational properties like those of two-state neurons". Proceedings of the National Academy of Sciences. 81 (10): 3088–3092. Bibcode:1984PNAS...81.3088H. doi:10.1073/pnas.81.10.3088. PMC 345226. PMID 6587342.
Seung, H. S.; Sompolinsky, H.; Tishby, N. (1992-04-01). "Statistical mechanics of learning from examples". Physical Review A. 45 (8): 6056–6091. Bibcode:1992PhRvA..45.6056S. doi:10.1103/PhysRevA.45.6056. PMID 9907706.
Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3) 032141. arXiv:1405.4497. Bibcode:2014PhRvE..90c2141S. 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.
Maris, Humphrey J.; Kadanoff, Leo P. (June 1978). "Teaching the renormalization group". American Journal of Physics. 46 (6): 652–657. Bibcode:1978AmJPh..46..652M. 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. Bibcode:2023PhRvX..13b1009Z. 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.

aip.org (Global: 2,273^rd place; English: 1,697^th place)

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, retrieved 2009-10-25{{citation}}: CS1 maint: deprecated archival service (link)

pubs.aip.org

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

ams.org (Global: 434^th place; English: 249^th place)

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, retrieved 2009-10-25{{citation}}: CS1 maint: deprecated archival service (link)
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 (Global: 514^th place; English: 281^st place)

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 (Global: 1,264^th place; English: 951^st place)

journals.aps.org

Seung, H. S.; Sompolinsky, H.; Tishby, N. (1992-04-01). "Statistical mechanics of learning from examples". Physical Review A. 45 (8): 6056–6091. Bibcode:1992PhRvA..45.6056S. doi:10.1103/PhysRevA.45.6056. PMID 9907706.
Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3) 032141. arXiv:1405.4497. Bibcode:2014PhRvE..90c2141S. doi:10.1103/PhysRevE.90.032141. PMID 25314429. S2CID 118355454. Retrieved 2022-08-09.

link.aps.org

Sherrington, David; Kirkpatrick, Scott (1975-12-29). "Solvable Model of a Spin-Glass". Physical Review Letters. 35 (26): 1792–1796. Bibcode:1975PhRvL..35.1792S. doi:10.1103/PhysRevLett.35.1792. ISSN 0031-9007.

archive.org (Global: 6^th place; English: 6^th place)

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

arxiv.org (Global: 49^th place; English: 31^st place)

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.
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.
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].
Süzen, Mehmet (29 September 2014). "M. Suzen "Effective ergodicity in single-spin-flip dynamics"". Physical Review E. 90 (3) 032141. arXiv:1405.4497. Bibcode:2014PhRvE..90c2141S. 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. Bibcode:2023PhRvX..13b1009Z. 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.

au.dk (Global: 6,515^th place; English: 7,211^th place)

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 (Global: 3^rd place; English: 3^rd place)

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

caltech.edu (Global: 240^th place; English: 473^rd place)

authors.library.caltech.edu

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

cern.ch (Global: 2,552^nd place; English: 2,008^th place)

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.

doi.org (Global: 2^nd place; English: 2^nd place)

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
Samuel, Stuart (1980). "The use of anticommuting variable integrals in statistical mechanics. I. The computation of partition functions". Journal of Mathematical Physics. 21 (12): 2806–2814. Bibcode:1980JMP....21.2806S. doi:10.1063/1.524404.
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. (1936). "On Ising's model of ferromagnetism". Mathematical Proceedings of the Cambridge Philosophical Society. 32 (3): 477–481. 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, retrieved 2009-10-25{{citation}}: CS1 maint: deprecated archival service (link)
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.
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.
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)
Glauber, Roy J. (February 1963). "Roy J. Glauber "Time-Dependent Statistics of the Ising Model"". Journal of Mathematical Physics. 4 (2): 294–307. doi:10.1063/1.1703954. Retrieved 2021-03-21.
Nakano, Kaoru (1971). "Learning Process in a Model of Associative Memory". Pattern Recognition and Machine Learning. pp. 172–186. doi:10.1007/978-1-4615-7566-5_15. ISBN 978-1-4615-7568-9.
Nakano, Kaoru (1972). "Associatron-A Model of Associative Memory". IEEE Transactions on Systems, Man, and Cybernetics. SMC-2 (3): 380–388. Bibcode:1972ITSMC...2..380N. doi:10.1109/TSMC.1972.4309133.
Little, W. A. (1974). "The Existence of Persistent States in the Brain". Mathematical Biosciences. 19 (1–2): 101–120. doi:10.1016/0025-5564(74)90031-5.
Sherrington, David; Kirkpatrick, Scott (1975-12-29). "Solvable Model of a Spin-Glass". Physical Review Letters. 35 (26): 1792–1796. Bibcode:1975PhRvL..35.1792S. doi:10.1103/PhysRevLett.35.1792. ISSN 0031-9007.
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hs-augsburg.de (Global: low place; English: low place)

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jstor.org (Global: 23^rd place; English: 15^th place)

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pubmed.ncbi.nlm.nih.gov

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ncbi.nlm.nih.gov

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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Hopfield, J. J. (1984). "Neurons with graded response have collective computational properties like those of two-state neurons". Proceedings of the National Academy of Sciences. 81 (10): 3088–3092. Bibcode:1984PNAS...81.3088H. doi:10.1073/pnas.81.10.3088. PMC 345226. PMID 6587342.
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projecteuclid.org (Global: 4,781^st place; English: 3,117^th place)

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siam.org (Global: 9,070^th place; English: 5,832^nd place)

archive.siam.org

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web.archive.org (Global: 1^st place; English: 1^st place)

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worldcat.org (Global: 4^th place; English: 4^th place)

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.
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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.
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.
Sherrington, David; Kirkpatrick, Scott (1975-12-29). "Solvable Model of a Spin-Glass". Physical Review Letters. 35 (26): 1792–1796. Bibcode:1975PhRvL..35.1792S. doi:10.1103/PhysRevLett.35.1792. ISSN 0031-9007.
Maris, Humphrey J.; Kadanoff, Leo P. (June 1978). "Teaching the renormalization group". American Journal of Physics. 46 (6): 652–657. Bibcode:1978AmJPh..46..652M. 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.

Ising model (English Wikipedia)

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