1932

Abstract

We revisit the concept of marginal stability in glasses and determine its range of applicability in the context of an avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudogap in the distribution of local fields and crackling in systems with long-range interactions. We classify glassy systems according to the presence or absence of marginal stability, providing a unifying perspective on the phenomenology of systems as diverse as spin and electron glasses, hard spheres, pinned elastic interfaces, and soft amorphous solids undergoing plastic deformation.

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2015-03-10
2024-03-28
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Literature Cited

  1. Pollak M. 1970. Discuss. Faraday Soc. 50:13–19
  2. Efros AL, Shklovskii BI. 1976. J. Phys. Chem. 9:2021–30
  3. Davies J, Lee PA, Rice TM. 1982. Phys. Rev. Lett. 49:758–61
  4. Pollak M, Ortuno M, Frydman A. 2013. The Electron Glass Cambridge: Cambridge Univ. Press
  5. Monroe D, Gossard AC, English JH, Golding B, Haemmerle WH, Kastner MA. 1987. Phys. Rev. Lett. 59:1148
  6. Ben-Chorin M, Ovadyahu Z, Pollak M. 1993. Phys. Rev. B 48:15025
  7. Bogdanovich S, Popovíc D. 2002. Phys. Rev. Lett. 88:236401
  8. Grenet T. 2003. Eur. Phys. J. B 32:275–78
  9. Havdala T, Eisenbach A, Frydman A. 2012. Europhys. Lett. 98:67006
  10. Lee M, Massey JG, Nguyen VL, Shklovskii BI. 1995. Phys. Rev. B 60:1582
  11. Pankov S, Dobrosavljević V. 2005. Phys. Rev. Lett. 94:046402
  12. Müller M, Ioffe L. 2004. Phys. Rev. Lett. 93:256403
  13. Müller M, Pankov S. 2007. Phys. Rev. B 75:144201
  14. Goethe M, Palassini M. 2009. Phys. Rev. Lett. 103:045702
  15. Palassini M, Goethe M. 2012. J. Phys. Conf. Ser. 376:012009
  16. Thouless D, Anderson PW, Palmer R. 1977. Philos. Mag. 35:593–601
  17. Pázmándi F, Zaránd G, Zimányi GT. 1999. Phys. Rev. Lett. 83:1034–37
  18. Eastham PR, Blythe RA, Bray AJ, Moore MA. . 2006. Phys. Rev. B 74:020406
  19. Horner H. 2007. Eur. Phys. J. B 60:413
  20. Le Doussal P, Müller M, Wiese K. 2010. Europhys. Lett. 91:57004
  21. Le Doussal P, Müller M, Wiese K. 2012. Phys. Rev. B 85:214402
  22. Sharma A, Andreanov A, Müller M. 2014. Phys. Rev. E 90:042103
  23. Wyart M. 2012. Phys. Rev. Lett. 109:125502
  24. Lerner E, During G, Wyart M. 2013. Soft Matter 9:8252–63
  25. DeGiuli E, Laversanne-Finot A, Düring G, Lerner E, Wyart M. 2014. Soft Matter 10:5628–44
  26. Kallus Y, Marcotte É, Torquato S. 2013. Phys. Rev. E 88:062151
  27. Kallus Y, Torquato S. 2014. Phys. Rev. E 90:022114
  28. Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. 2014. Nat. Commun. 5:3725
  29. Parisi G. 1980. J. Phys. A 13:1101–12
  30. Parisi G. 1980. J. Phys. A 13:L115–21
  31. De Dominicis C, Kondor I. . 1983. Phys. Rev. B 27:606–8
  32. Wyart M. 2005. Ann. Phys. 30:31
  33. Brito C, Wyart M. 2006. Europhys. Lett. 76:149–55
  34. Brito C, Wyart M. 2009. J. Chem. Phys. 131:024504
  35. DeGiuli E, Lerner E, Brito C, Wyart M. 2014. Proc. Natl. Acad. Sci. USA 111:17054–59
  36. Marruzzo A, Köhler S, Fratalocchi A, Ruocco G, Schirmacher W. 2013. Eur. Phys. J. Spec. Top. 216:83–93
  37. Cugliandolo L, Kurchan J. 1993. Phys. Rev. Lett. 71:173–76
  38. Cugliandolo L, Kurchan J. 1994. J. Phys. Math. Gen. 27:5749
  39. Kurchan J, Laloux L. 1996. J. Phys. Math. Gen. 29:1929–48
  40. Sethna J, Dahmen K, Myers C. 2001. Nature 410:242–50
  41. Bak P, Tang C, Wiesenfeld K. 1987. Phys. Rev. Lett. 59:381–84
  42. Fisher DS. 1998. Phys. Rep. 301:113–50
  43. Sherrington D, Kirkpatrick S. 1978. Phys. Rev. B 17:4384–404
  44. Dobrosavljević V, Tanasković D, Pastor AA. 2003. Phys. Rev. Lett. 90:016402
  45. Andresen JC, Zhu Z, Andrist RS, Katzgraber HG, Dobrosavljević V, Zimányi GT. 2013. Phys. Rev. Lett. 111:097203
  46. Urbach JS, Madison RC, Markert JT. 2003. Phys. Rev. Lett. 90:087203
  47. Perković O, Dahmin K, Sethna JP. 1995. Phys. Rev. Lett. 75:4528–31
  48. Vives E, Goicoechea J, Ortín J, Planes A. 1995. Phys. Rev. E 52:R5–8
  49. Boettcher S, Katzgraber HG, Sherrington D. 2008. J. Phys. A Math. Theor. 41:324007
  50. Palmer RG, Pond CM. 1979. J. Phys. F Met. Phys. 9:1451–59
  51. Anderson PW. 1979. Ill-Condensed Matter Balian R, Maynard R, Toulouse G. 159–261 Amsterdam: North-Holland
  52. Yan L, Baity-Jesi M, Mueller M, Wyart M. 2015. arXiv:150.03017
  53. Sommers H, Dupont W. 1984. J. Phys. C Solid State Phys. 17:5785–93
  54. Pankov S. 2006. Phys. Rev. Lett. 96:197204
  55. Monthus C, Garel T. 2011. J. Stat. Mech. 2011:P07010
  56. Efros AL, Skinner B, Shklovskii BI. 2011. Phys. Rev. B 84:064204
  57. Möbius A, Richter M, Drittler B. 1992. Phys. Rev. B 45:11568
  58. Ovadyahu Z. 2014. Phys. Rev. B 90:054204
  59. Täuber UC, Dai H, Nelson DR, Lieber CM. 1995. Phys. Rev. Lett. 74:5132–35
  60. Larkin AI, Khmel’nitskii DE. 1982. Zh. Eksp. Teor. Fiz 83:1140 Sov. Phys. JETP 56:647
  61. Shklovskii BI. 2008. arXiv:0803.3331
  62. Baranovskii SD, Shklovskii BI, Efros AL. 2010. Phys. Rev. B 81:064408
  63. Baranovskii SD, Shklovskii BI, Efros AL. 1984. Zh. Eksp. Teor. Fiz 87:1793 Sov. Phys. JETP 60:1031
  64. Andresen JC, Pramudya Y, Katzgraber HG, Thomas CK, Zimányi GT, Dobrosavljević V. 2013. arXiv:1309.2887
  65. Pusey P, Van Megen W. 1987. Phys. Rev. Lett. 59:2083–86
  66. Mason T, Weitz D. 1995. Phys. Rev. Lett. 75:2770–73
  67. Parisi G, Zamponi F. 2010. Rev. Mod. Phys. 82:789–845
  68. Liu AJ, Nagel SR, van Saarloos W, Wyart M. 2010. The Jamming Scenario: An Introduction and Outlook Oxford, UK: Oxford Univ. Press
  69. van Hecke M. 2010. J. Phys. Condens. Matter 22:033101
  70. Alexander S. 1998. Phys. Rep. 296:65–236
  71. O’Hern CS, Silbert LE, Liu AJ, Nagel SR. 2003. Phys. Rev. E 68:011306
  72. Lerner E, DeGiuli E, Düring G, Wyart M. 2014. Soft Matter Phys. 10:5085–92
  73. Maxwell J. 1864. Philos. Mag. 27:294–99
  74. Tkachenko AV, Witten TA. 1999. Phys. Rev. E 60:687–96
  75. Moukarzel CF. 1998. Phys. Rev. Lett. 81:1634–37
  76. Donev A, Torquato S, Stillinger FH. 2005. Phys. Rev. E 71:011105
  77. Silbert LE, Liu AJ, Nagel SR. 2006. Phys. Rev. E 73:041304
  78. Charbonneau P, Corwin EI, Parisi G, Zamponi F. 2012. Phys. Rev. Lett. 109:205501
  79. Snoeijer JH, Vlugt TJH, van Hecke M, van Saarloos W. 2004. Phys. Rev. Lett. 92:054302
  80. Liu CH, Nagel SR, Schecter DA, Coppersmith SN, Majumdar S et al. 1995. Science 269:513–15
  81. Lerner E, Düring G, Wyart M. 2012. Europhys. Lett. 99:58003
  82. Otto M, Bouchaud J-P, Claudin P, Socolar JE. 2003. Phys. Rev. E 67:031302
  83. Bouchaud JP, Claudin P, Levine D, Otto M. 2001. Eur. Phys. J. E 4:451–57
  84. Combe G, Roux J-N. 2000. Phys. Rev. Lett. 85:3628–31
  85. Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. 2014. J. Stat. Mech. 2014:P10009
  86. Parisi G. 2003. Fractals 11:161–72
  87. Amini M, Kravtsov V, Müller M. 2014. New J. Phys. 16:015022
  88. Lerner E, Düring G, Wyart M. 2013. Comput. Phys. Commun. 184:628–37
  89. DeGiuli E, Lerner E, During G, Wyart M. 2014. arXiv:1410.3535
  90. Kardar M. 1998. Phys. Rep. 301:85–112
  91. Lin J, Saade A, Lerner E, Rosso A, Wyart M. 2014. Europhys. Lett. 105:26003
  92. Narayan O, Middleton AA. 1994. Phys. Rev. B 49:244–56
  93. Le Doussal P, Middleton AA, Wiese KJ. 2012. Phys. Rev. E 85:061102
  94. Argon A. 1979. Acta Metall. 27:47–58
  95. Falk ML, Langer JS. 1998. Phys. Rev. E 57:7192–205
  96. Hébraud P, Lequeux F. 1998. Phys. Rev. Lett. 81:2934–37
  97. Picard G, Ajdari A, Lequeux F, Bocquet L. 2004. Eur. Phys. J. E 15:371–81
  98. Nicolas A, Rottler J, Barrat J-L. 2014. Eur. Phys. J. E 37:50
  99. Lin J, Lerner E, Rosso A, Wyart M. 2014. Proc. Natl. Acad. Sci. USA 111:14382–87
  100. Karmakar S, Lerner E, Procaccia I. 2010. Phys. Rev. E. 82:055103
  101. Salerno KM, Maloney CE, Robbins MO. 2012. Phys. Rev. Lett. 109:105703
  102. Salerno KM, Robbins MO. 2013. Phys. Rev. E 88:062206
  103. Maloney C, Lemaitre A. 2004. Phys. Rev. Lett. 93:016001
  104. Mitchell J, Gangopadhyay A, Galitski V, Müller M. 2012. Phys. Rev. B 85:195141
  105. Chen T, Skinner B, Shklovskii BI. 2012. Phys. Rev. B 86:045135
  106. Ispánovity PD, Laurson L, Zaiser M, Groma I, Zapperi S, Alava MJ. 2014. Phys. Rev. Lett 112:235501
  107. Falk ML, Langer JS. 2010. Annu. Rev. Cond. Matt. Phys. 2:353–73
  108. Levin EI, Nguen VL, Shklovskii BI, Efros AL. 1987. Sov. Phys. JETP 65:842–56
  109. Middleton AA. 1992. Phys. Rev. B 45:9465
  110. Brazovskii S, Nattermann T. 2004. Adv. Phys. 53:177–253
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