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Annual Review of Condensed Matter Physics

Volume 15, 2024

Recent Applications of Dynamical Mean-Field Methods

Abstract

Rich out-of-equilibrium collective dynamics of strongly interacting large assemblies emerge in many areas of science. Some intriguing and not fully understood examples are the glassy arrest in atomic, molecular, or colloidal systems; flocking in natural or artificial active matter; and the organization and subsistence of ecosystems. The learning process, and ensuing amazing performance, of deep neural networks bears resemblance with some of the before-mentioned examples. Quantum mechanical extensions are also of interest. In exact or approximate manner, the evolution of these systems can be expressed in terms of a dynamical mean-field theory that not only captures many of their peculiar effects but also has predictive power. This short review presents a summary of recent developments of this approach with emphasis on applications on the examples mentioned above.

Keyword(s): aging, applications to optimization, ecology, etc., FDT and effective temperatures, fully connected disordered models, marginal stability, out-of-equilibrium dynamics, quantum extensions, slow relaxation
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2024-03-11
2024-04-28
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Literature Cited

  1. 1.
    Hohenberg PC, Halperin BI. 1977. Rev. Mod. Phys. 49:435–79
  2. 2.
    Bray AJ. 1994. Adv. Phys. 43:357–459
  3. 3.
    Onuki A. 2004. Phase Transition Dynamics Cambridge, UK: Cambridge Univ. Press
  4. 4.
    Puri S, Wadhawan V 2009. Kinetics of Phase Transitions Boca Raton, FL: Taylor & Francis Group
  5. 5.
    Henkel M, Pleimling M. 2010. Non-Equilibrium Phase Transitions 2 Ageing and Dynamical Scaling Far from Equilibrium Dordrecht, Neth.: Springer-Verlag
  6. 6.
    Berthier L, Biroli G. 2011. Rev. Mod. Phys. 83:587–645
  7. 7.
    Bloch I, Dalibard J, Zwerger W. 2008. Rev. Mod. Phys. 80:885–964
  8. 8.
    Duran J. 1999. Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials New York: Springer-Verlag
  9. 9.
    Bechinger C, Leonardo RD, Löwen H, Reichhardt C, Volpe G, Volpe G. 2016. Rev. Mod. Phys. 88:045006
  10. 10.
    Azaele S, Suweis S, Grilli J, Volkov I, Banavar JR, Maritan A. 2016. Rev. Mod. Phys. 88:035003
  11. 11.
    Bahri Y, Kadmon J, Pennington J, Schoenholz S, Sohl-Dickstein J, Ganguli S. 2019. Annu. Rev. Condens. Matter Phys. 11:501–28
  12. 12.
    Krzakala F, Ricci-Tersenghi F, Zdeborová L, Tramel EW, Zecchina R, Cugliandolo LF 2015. Statistical Physics, Optimization, Inference, and Message-Passing Algorithms. Lecture Notes of the Les Houches School of Physics, Special Issue, Oct. 2013 Oxford, UK: Oxford Univ. Press
  13. 13.
    Naumann-Woleske K, Knicker MS, Benzaquen M, Bouchaud JP. 2023. arXiv:2111.08654
  14. 14.
    Cugliandolo LF. 2002. Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter Les Houches Session LXXVII, July 1–26, 2002 Heidelberg: Springer Verlag
  15. 15.
    Cavagna A. 2009. Phys. Rep. 476:51–124
  16. 16.
    Montanari A, Sen S. 2022. arXiv:2204.02909
  17. 17.
    Folena G, Manacorda A, Zamponi F. 2022. Phys. A 2022:128152
  18. 18.
    Mézard M, Parisi G, Virasoro MA. 1986. Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications Singapore: World Sci.
  19. 19.
    Crisanti A, Sommers HJ. 1992. Z. Phys. B: Condens. Matter 87:341–54
  20. 20.
    Sompolinsky H, Crisanti A, Sommers HJ. 1988. Phys. Rev. Lett. 61:259–62
  21. 21.
    Cugliandolo LF, Kurchan J, Le Doussal P, Peliti L 1997. Phys. Rev. Lett. 78:350–53
  22. 22.
    Berthier L, Barrat JL, Kurchan J. 2000. Phys. Rev. E 61:5464–72
  23. 23.
    Fyodorov YV, Khoruzhenko BA. 2016. PNAS 113:6827–32
  24. 24.
    Hofbauer J, Sigmund K. 1998. Evolutionary Games and Population Dynamics Cambridge, UK: Cambridge Univ. Press
  25. 25.
    Martin PC, Siggia ED, Rose HA. 1973. Phys. Rev. A 8:423–37
  26. 26.
    Janssen HK. 1976. Z. Phys. B Con. Matt. 23:377–80
  27. 27.
    De Dominicis C. 1976. J. Phys. Colloq. 37:C1247–53
  28. 28.
    Arnoulx de Pirey T, Cugliandolo LF, Lecomte V, van Wijland F 2023. Adv. Phys. https://doi.org/10.1080/00018732.2023.2199229
  29. 29.
    Bouchaud JP, Cugliandolo LF, Kurchan J, Mézard M. 1996. Physica A 226:243–73
  30. 30.
    Sompolinsky H, Zippelius A. 1981. Phys. Rev. Lett. 47:359–62
  31. 31.
    Cugliandolo LF, Kurchan J. 1993. Phys. Rev. Lett. 71:173–76
  32. 32.
    Barrat A, Burioni R, Mézard M. 1996. J. Phys. A: Math. Gen. 29:L81–87
  33. 33.
    Cugliandolo LF, Lozano GS, Nessi N. 2017. J. Stat. Mech. 2017:083301
  34. 34.
    Cugliandolo LF, Lozano GS, Nessi N. 2019. J. Stat. Mech. 2019:023301
  35. 35.
    Schwinger J. 1961. J. Math. Phys. 2:407–32
  36. 36.
    Keldish LV. 1964. Zh. Eksp. Teor. Fiz. 47:1515–27
  37. 37.
    Stefanucci G, van Leeuwen R. 2013. Nonequilibrium Many Body Theory of Quantum Systems Cambridge, UK: Cambridge Univ. Press
  38. 38.
    Chakraborty A, Gorantla P, Sensarma R. 2019. Phys. Rev. B 99:054306
  39. 39.
    Agoritsas E, Biroli G, Urbani P, Zamponi F. 2018. J. Phys. A: Math. Theor. 51:085002
  40. 40.
    Ben Arous G, Dembo A, Guionnet A. 2006. Probab. Theory Relat. Fields 136:619–60
  41. 41.
    Roy F, Biroli G, Bunin G, Cammarota C. 2019. J. Phys. A: Math. Theor. 52:484001
  42. 42.
    Georges A, Kotliar G, Krauth W, Rozenberg MJ. 1996. Rev. Mod. Phys. 68:13–125
  43. 43.
    Ros V, Fyodorov Y. 2023. See Reference 205 95–114
  44. 44.
    Auffinger A, Montanari A, Subag E. 2023. See Reference 205 609–33
  45. 45.
    Kosterlitz JM, Thouless DJ, Jones RC. 1976. Phys. Rev. Lett. 36:1217–20
  46. 46.
    Bray AJ, Moore MA. 1980. J. Phys. C 13:L469
  47. 47.
    Kurchan J, Parisi G, Virasoro MA. 1993. J. Phys. I 3:1819–38
  48. 48.
    Crisanti A, Sommers HJ. 1995. J. Phys. I 5:805–13
  49. 49.
    Monasson R. 1995. Phys. Rev. Lett. 75:2847–50
  50. 50.
    Cavagna A, Giardina I, Parisi G. 1998. Phys. Rev. B 57:11251–57
  51. 51.
    Cavagna A, Garrahan JP, Giardina I. 1999. J. Phys. A: Math. Gen. 32:711
  52. 52.
    Kirkpatrick TR, Thirumalai D. 1987. Phys. Rev. B 36:5388–97
  53. 53.
    Debenedetti P. 1996. Metastable Liquids: Concepts and Principles Princeton, NJ: Princeton Univ. Press
  54. 54.
    Kirkpatrick TR, Thirumalai D. 2015. Rev. Mod. Phys. 87:183–209
  55. 55.
    Wolynes PG. 2023. See Reference 205 135–48
  56. 56.
    Kac M. 1943. Bull. Am. Math. Soc. 49:314–20
  57. 57.
    Rice SO. 1944. Bell. Syst. Tech. J. 23:282–332
  58. 58.
    Ros V, Ben Arous G, Biroli G, Cammarota C 2019. Phys. Rev. X 9:011003
  59. 59.
    de Dominicis C, Young AP. 1983. J. Phys. A: Math. Gen. 16:2063–75
  60. 60.
    Gradenigo G, Angelini MC, Leuzzi L, Ricci-Tersenghi F. 2020. J. Stat. Mech. 2020:113302
  61. 61.
    Franz S, Parisi G. 1995. J. Phys. I France 5:1401–15
  62. 62.
    Gardner E. 1985. Nucl. Phys. B 257:747–65
  63. 63.
    Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. 2014. Nat. Commun. 5:3725
  64. 64.
    Altieri A, Biroli G, Cammarota C. 2020. J. Phys. A: Math. Theor. 53:375006
  65. 65.
    Monasson R, Zecchina R. 1997. Phys. Rev. E 56:1357–70
  66. 66.
    Rizzo T, Yoshino H. 2006. Phys. Rev. B 73:064416
  67. 67.
    Barrat A, Franz S, Parisi G. 1997. J. Phys. A: Math. Gen. 30:5593–612
  68. 68.
    Capone B, Castellani T, Giardina I, Ricci-Tersenghi F. 2006. Phys. Rev. B 74:144301
  69. 69.
    Crisanti A, Leuzzi L. 2006. Phys. Rev. B 73:014412
  70. 70.
    Barbier D, Cugliandolo LF. 2020. J. Stat. Mech. 2020:063207
  71. 71.
    Auffinger A, Zhou Y. 2022. arXiv:2209.03866
  72. 72.
    Folena G, Franz S, Ricci-Tersenghi F. 2020. Phys. Rev. X 10:031045
  73. 73.
    Folena G, Franz S, Ricci-Tersenghi F. 2021. J. Stat. Mech. 2021:033302
  74. 74.
    Cugliandolo LF, Dean DS. 1995. J. Phys. A: Math. Gen. 28:4213–34
  75. 75.
    Calabrese P, Gambassi A. 2005. J. Phys. A 38:R133–93
  76. 76.
    Cugliandolo LF, Dean DS. 1995. J. Phys. A: Math. Gen. 28:L453–59
  77. 77.
    Middleton C. 2022. Phys. Today 75:14–16
  78. 78.
    Cugliandolo LF, Kurchan J, Peliti L. 1997. Phys. Rev. E 55:3898–914
  79. 79.
    Scherer GW. 1986. Relaxation in Glass and Composites New York: Wiley
  80. 80.
    Bouchaud JP. 1992. J. Phys. I France 2:1705–13
  81. 81.
    Kim BS, Latz A. 2001. Europhys. Lett. 53:660–66
  82. 82.
    Cugliandolo LF, Le Doussal P 1996. Phys. Rev. E 53:152–67
  83. 83.
    Kurchan J, Laloux L. 1996. J. Phys. A: Math. Gen. 29:1929–48
  84. 84.
    Kraichnan RH. 1959. J. Fluid Mech. 5:497–543
  85. 85.
    Zdeborová L, Krzakala F. 2010. Phys. Rev. B 81:224205
  86. 86.
    Krzakala F, Zdeborová L. 2010. Europhys. Lett. 90:66002
  87. 87.
    Sun YF, Crisanti A, Krzakala F, Leuzzi L, Zdeborová L. 2012. J. Stat. Mech. 2012:P07002
  88. 88.
    Folena G, Zamponi F. 2023. SciPost Phys. 15:109
  89. 89.
    Sompolinsky H. 1981. Phys. Rev. Lett. 47:935–38
  90. 90.
    Cugliandolo LF, Kurchan J. 1994. J. Phys. A 27:5749–72
  91. 91.
    Franz S, Mézard M. 1994. Europhys. Lett. 26:209–14
  92. 92.
    El Alaoui A, Montanari A. 2020. arXiv:2009.11481
  93. 93.
    El Alaoui A, Montanari A, Sellke M. 2021. Ann. Probab. 49:2922–60
  94. 94.
    Cugliandolo LF, Kurchan J. 2000. J. Phys. Soc. Jpn. 69:247
  95. 95.
    Contucci P, Corberi F, Kurchan J, Mingione E. 2021. SciPost Phys. 10:113
  96. 96.
    Cugliandolo LF. 2011. J. Phys. A 44:483001
  97. 97.
    Ioffe LB. 1988. Phys. Rev. B 38:5181–83
  98. 98.
    Chamon C, Kennett MP, Castillo H, Cugliandolo LF. 2002. Phys. Rev. Lett. 89:217201
  99. 99.
    Douglass IM, Dyre JC. 2022. Phys. Rev. E 106:054615
  100. 100.
    Chamon C, Cugliandolo LF, Yoshino H. 2006. J. Stat. Mech. 2006:01006
  101. 101.
    Castillo H, Chamon C, Cugliandolo LF, Kennett MP. 2002. Phys. Rev. Lett. 88:237201
  102. 102.
    Chamon C, Cugliandolo LF. 2007. J. Stat. Mech. 2007:P07022
  103. 103.
    Sachdev S, Ye J. 1993. Phys. Rev. Lett. 70:3339–42
  104. 104.
    Kitaev A. 2015. “A simple model of quantum holography, part 1,. KITP Online Talks 1:15:04 April 7, 2015, https://online.kitp.ucsb.edu/online/entangled15/itaev/rm/jwvideo.html
    [Google Scholar]
  105. 105.
    Maldacena J, Stanford D. 2016. Phys. Rev. D 94:106002
  106. 106.
    Kirkpatrick TR, Thirumalai D. 1988. Phys. Rev. A 37:4439–48
  107. 107.
    Dasgupta C, Indrani A, Ramaswami S, Phani M. 1991. Europhys. Lett. 15:307–12
  108. 108.
    Kob W, Donati C, Plimpton SJ, Poole PH, Glotzer SC. 1997. Phys. Rev. Lett. 79:2827–30
  109. 109.
    Biroli G, Bouchaud JP. 2004. Europhys. Lett. 67:21–27
  110. 110.
    Corberi F, Cugliandolo LF, Yoshino H 2011. Dynamical Heterogeneities in Glasses, Colloids, and Granular Media L Berthier, G Biroli, J-P Bouchard, L Cipelletti, W van Saarloos 370–406 Oxford, UK: Oxford Univ. Press
  111. 111.
    Lippiello E, Corberi F, Sarracino A, Zannetti M. 2008. Phys. Rev. B 77:212201
  112. 112.
    Lippiello E, Corberi F, Sarracino A, Zannetti M. 2008. Phys. Rev. E 78:041120
  113. 113.
    Berthier L, Biroli G, Bouchaud JP, Cipelletti L, van Saarloos W 2011. Dynamical Heterogeneities in Glasses, Colloids, and Granular Media Oxford, UK: Oxford Univ. Press
  114. 114.
    Rizzo T. 2014. Europhys. Lett. 106:56003
  115. 115.
    Rizzo T. 2016. Phys. Rev. B 94:014202
  116. 116.
    Folena G, Biroli G, Charbonneau P, Hu Y, Zamponi F. 2022. Phys. Rev. E 06:024605
  117. 117.
    Maimbourg T, Kurchan J, Zamponi F. 2016. Phys. Rev. Lett. 116:015902
  118. 118.
    Kurchan J, Maimbourg T, Zamponi F. 2016. J. Stat. Mech. 2016:033210
  119. 119.
    Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. 2017. Annu. Rev. Condens. Matter Phys. 8:265–88
  120. 120.
    Agoritsas E. 2021. J. Stat. Mech. 2021:033501
  121. 121.
    Manacorda A, Zamponi F. 2022. J. Phys. A: Math. Theor. 55:334001
  122. 122.
    Parisi G, Urbani P, Zamponi F. 2020. Theory of Simple Glasses: Exact Solutions in Infinite Dimensions Cambridge, UK: Cambridge Univ. Press
  123. 123.
    Fyodorov YV, Perret A, Schehr G. 2015. J. Stat. Mech. 2015:11017
  124. 124.
    Barbier D, de Freitas Pimenta PH, Cugliandolo LF, Stariolo DA. 2021. J. Stat. Mech. 2021:073301
  125. 125.
    Crisanti A, Ritort F. 2000. Europhys. Lett. 52:640–464
  126. 126.
    Billoire A, Giomi L, Marinari E. 2005. Europhys. Lett. 71:824–30
  127. 127.
    Baity-Jesi M, Biroli G, Cammarota C. 2018. J. Stat. Mech. 2018:013301
  128. 128.
    Baity-Jesi M, de Lustrac AA, Biroli G. 2018. Phys. Rev. E 98:012133
  129. 129.
    Stariolo DA, Cugliandolo LF. 2019. Europhys. Lett. 127:16002
  130. 130.
    Stariolo DA, Cugliandolo LF. 2020. Phys. Rev. E 102:022126
  131. 131.
    Carbone MR, Baity-Jesi M. 2022. Phys. Rev. E 106:024603
  132. 132.
    Carbone MR, Astuti V, Baity-Jesi M. 2020. Phys. Rev. E 101:052304
  133. 133.
    Bouchaud JP, Dean DS. 1995. J. Phys. I France 5:265–86
  134. 134.
    Barrat A, Mézard M. 1995. J. Phys. I France 5:941–47
  135. 135.
    Cammarota C, Marinari E. 2018. J. Stat. Mech. 2018:043303
  136. 136.
    Ben Arous G, Bovier A, Cerny J. 2008. Commun. Math. Phys. 282:663–95
  137. 137.
    Auffinger A, Ben Arous G. 2013. Ann. Probab. 41:4214–47
  138. 138.
    Baik J, Collins-Woodfin E, Doussal PL, Wu H. 2021. J. Stat. Phys. 183:31
  139. 139.
    Neumann C. 1850. CrelleJ. 56:46
  140. 140.
    Foini L, Gambassi A, Konik R, Cugliandolo LF. 2017. Phys. Rev. E 95:052116
  141. 141.
    de Nardis J, Panfil M, Gambassi A, Konik R, Cugliandolo LF, Foini L. 2017. SciPost Phys. 3:023
  142. 142.
    Uhlenbeck KK. 1982. Springer Lect. Notes Math. 49:146
  143. 143.
    Agoritsas E, Maimbourg T, Zamponi F. 2019. J. Phys. A: Math. Theor. 52:144002
  144. 144.
    Agoritsas E, Maimbourg T, Zamponi F. 2019. J. Phys. A: Math. Theor. 52:334001
  145. 145.
    Berthier L, Cugliandolo LF, Iguain JL. 2001. Phys. Rev. E 63:051302
  146. 146.
    Horner H. 1992. Z. Phys. B: Condens. Matter 86:291–308
  147. 147.
    Berthier L, Kurchan J. 2013. Nat. Phys. 9:310–14
  148. 148.
    Arnoulx de Pirey T, Lozano G, van Wijland F 2019. Phys. Rev. Lett. 123:260602
  149. 149.
    Arnoulx de Pirey T, Manacorda A, van Wijland F, Zamponi F 2021. J. Chem. Phys. 155:174106
  150. 150.
    Gardner MR, Ashby WR. 1970. Nature 228:784
  151. 151.
    May RM 1972. Nature 238:413–14
  152. 152.
    McCann KS. 2000. Nature 405:228–33
  153. 153.
    Allesina S, Tang S. 2012. Nature 483:205–8
  154. 154.
    Grilli J, Rogers T, Allesina S. 2016. Nat. Commun. 7:12031
  155. 155.
    Wainrib G, Touboul J. 2013. Phys. Rev. Lett. 110:118101
  156. 156.
    Farmer JD, Skouras S. 2013. Quant. Financ. 13:325–46
  157. 157.
    Moran J, Bouchaud JP. 2019. Phys. Rev. E 100:032307
  158. 158.
    Bray AJ, Dean DS. 2007. Phys. Rev. Lett. 98:150201
  159. 159.
    Ben Arous G, Fyodorov YV, Khoruzhenko BA. 2021. PNAS 118:e2023719118
  160. 160.
    Kesslerand DA, Shnerb NM. 2015. Phys. Rev. E 91:042705
  161. 161.
    Bunin G. 2017. Phys. Rev. E 95:042414
  162. 162.
    Galla T. 2018. Europhys. Lett. 123:48004
  163. 163.
    Pearce MT, Agarwala A, Fisher DS. 2020. PNAS 117:14572
  164. 164.
    Altieri A, Roy F, Cammarota C, Biroli G. 2021. Phys. Rev. Lett. 126:258301
  165. 165.
    Ros V, Roy F, Biroli G, Bunin G, Turner AM. 2023. Phys. Rev. Lett. 130:25257401
  166. 166.
    Opper M, Diederich S. 1992. Phys. Rev. Lett. 69:1616–19
  167. 167.
    Galla T. 2006. J. Phys. A: Math. Gen. 39:3853–69
  168. 168.
    Arnoulx de Pirey T, Bunin G 2023. Phys. Rev. Lett. 130:098401
  169. 169.
    Ratzke C, Barrere J, Gore J. 2020. Nat. Ecol. Evol. 4:376–83
  170. 170.
    Altieri A, Biroli G. 2022. SciPost Phys. 12:013
  171. 171.
    Hwang CR, Hwang-Ma SY, Sheu SJ. 2005. Ann. Appl. Probab. 15:1433–44
  172. 172.
    Lelièvre T, Nier F, Pavliotis GA. 2013. J. Stat. Phys. 152:237–74
  173. 173.
    Ichiki A, Ohzeki M. 2013. Phys. Rev. E 88:020101
  174. 174.
    Ghimenti F, van Wijland F. 2022. Phys. Rev. E 105:054137
  175. 175.
    McCulloch WS, Pitt W. 1943. Bull. Math. Biophys. 5:115–33
  176. 176.
    Rosenblatt F. 1958. Psychol. Rev. 65:386–408
  177. 177.
    Gardner E, Derrida B. 1988. J. Phys. A: Math. Gen. 21:271–84
  178. 178.
    Baity-Jesi M, Sagun L, Geiger M, Spigler S, Ben Arous G et al. 2019. J. Stat. Mech. 2019:124013
  179. 179.
    Sarao Mannelli S, Krzakala F, Urbani P, Zdeborová L. 2019. PMLR 97:4333–42
  180. 180.
    Sarao Mannelli S, Biroli G, Cammarota C, Krzakala F, Urbani P, Zdeborová L. 2020. Phys. Rev. X 10:011057
  181. 181.
    Mignacco F, Krzakala F, Urbani P, Zdevodorová L. 2020. J. Stat. Mech. 2021:124008
  182. 182.
    Mignacco F, Urbani P. 2022. J. Stat. Mech. 2022:083405
  183. 183.
    Cugliandolo LF, Müller M. 2023. Quantum Glasses Singapore: World Sci
  184. 184.
    Cugliandolo LF, Grempel DR, da Silva, Santos CA. 2000. Phys. Rev. Lett. 85:2589–92
  185. 185.
    Cugliandolo LF, Grempel DR, da Silva, Santos CA. 2001. Phys. Rev. B 64:014403
  186. 186.
    Cugliandolo LF, Grempel DR, Lozano G, Lozza H, da Silva, Santos CA. 2002. Phys. Rev. B 66:014444
  187. 187.
    Biroli G, Cugliandolo LF. 2001. Phys. Rev. B 64:014206
  188. 188.
    Cugliandolo LF, Lozano GS. 1998. Phys. Rev. Lett. 80:4979–82
  189. 189.
    Cugliandolo LF, Lozano GS. 1999. Phys. Rev. B 59:915–42
  190. 190.
    Rabani E, Reichman DR. 2005. Annu. Rev. Phys. Chem. 56:157–85
  191. 191.
    Thomson SJ, Urbani P, Schirò M. 2020. Phys. Rev. Lett. 125:120602
  192. 192.
    Jörg T, Krzakala F, Kurchan J, Maggs AJ. 2008. Phys. Rev. Lett. 101:147204
  193. 193.
    Bapst V, Foini L, Krzakala F, Semerjian G, Zamponi F. 2013. Phys. Rep. 52:127–205
  194. 194.
    Monasson R, Zecchina R, Kirkpatrick S, Selman B, Troyansky L. 1999. Nature 400:133–37
  195. 195.
    Basko DM, Aleiner IL, Altshuler BL. 2006. Ann. Phys. 321:1126–205
  196. 196.
    Maldacena J, Shenker SH, Stanford D. 2016. JHEP 2016:106
  197. 197.
    Chamon C, Charbonneau P, Cugliandolo LF, Reichman DR, Sellitto M. 2004. J. Chem. Phys. 121:10120–37
  198. 198.
    Facoetti D, Biroli G, Kurchan J, Reichman DR. 2019. Phys. Rev. B 100:205108
  199. 199.
    Tsuji N, Shitara T, Ueda M. 2018. Phys. Rev. E 98:012216
  200. 200.
    Pappalardi S, Foini L, Kurchan J. 2022. SciPost Phys. 12:130
  201. 201.
    Larkin A, Ovchinnikov YN. 1969. J. Exp. Theor. Phys. 28:1200–5
  202. 202.
    Bera S, Venkata Lokesh K, Banerjee S. 2022. Phys. Rev. Lett. 128:115302
  203. 203.
    Correale L, Polkovnikov A, Schirò M, Silva A. 2023. arXiv:2303.15393
  204. 204.
    Franz S, Parisi G. 1997. Phys. Rev. Lett. 79:2486–89
  205. 205.
    Charbonneau P, Marinari E, Mézard M, Parisi G, Ricci-Tersenghi F et al. 2023. Spin Glass Theory and Far Beyond: Replica Symmetry Breaking After 40 Years Singapore: World Sci
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Recent Applications of Dynamical Mean-Field Methods
Annual Review of Condensed Matter Physics 15, 177 (2024); https://doi.org/10.1146/annurev-conmatphys-040721-022848
/content/journals/10.1146/annurev-conmatphys-040721-022848
/content/journals/10.1146/annurev-conmatphys-040721-022848
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  • Article Type: Review Article

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