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.

Loading

Article metrics loading...

/content/journals/10.1146/annurev-conmatphys-031214-014614
2015-03-10
2024-07-03
Loading full text...

Full text loading...

/deliver/fulltext/conmatphys/6/1/annurev-conmatphys-031214-014614.html?itemId=/content/journals/10.1146/annurev-conmatphys-031214-014614&mimeType=html&fmt=ahah

Literature Cited

  1. Pollak M. 1970. Discuss. Faraday Soc. 50:13–19 [Google Scholar]
  2. Efros AL, Shklovskii BI. 1976. J. Phys. Chem. 9:2021–30 [Google Scholar]
  3. Davies J, Lee PA, Rice TM. 1982. Phys. Rev. Lett. 49:758–61 [Google Scholar]
  4. Pollak M, Ortuno M, Frydman A. 2013. The Electron Glass Cambridge: Cambridge Univ. Press [Google Scholar]
  5. Monroe D, Gossard AC, English JH, Golding B, Haemmerle WH, Kastner MA. 1987. Phys. Rev. Lett. 59:1148 [Google Scholar]
  6. Ben-Chorin M, Ovadyahu Z, Pollak M. 1993. Phys. Rev. B 48:15025 [Google Scholar]
  7. Bogdanovich S, Popovíc D. 2002. Phys. Rev. Lett. 88:236401 [Google Scholar]
  8. Grenet T. 2003. Eur. Phys. J. B 32:275–78 [Google Scholar]
  9. Havdala T, Eisenbach A, Frydman A. 2012. Europhys. Lett. 98:67006 [Google Scholar]
  10. Lee M, Massey JG, Nguyen VL, Shklovskii BI. 1995. Phys. Rev. B 60:1582 [Google Scholar]
  11. Pankov S, Dobrosavljević V. 2005. Phys. Rev. Lett. 94:046402 [Google Scholar]
  12. Müller M, Ioffe L. 2004. Phys. Rev. Lett. 93:256403 [Google Scholar]
  13. Müller M, Pankov S. 2007. Phys. Rev. B 75:144201 [Google Scholar]
  14. Goethe M, Palassini M. 2009. Phys. Rev. Lett. 103:045702 [Google Scholar]
  15. Palassini M, Goethe M. 2012. J. Phys. Conf. Ser. 376:012009 [Google Scholar]
  16. Thouless D, Anderson PW, Palmer R. 1977. Philos. Mag. 35:593–601 [Google Scholar]
  17. Pázmándi F, Zaránd G, Zimányi GT. 1999. Phys. Rev. Lett. 83:1034–37 [Google Scholar]
  18. Eastham PR, Blythe RA, Bray AJ, Moore MA. . 2006. Phys. Rev. B 74:020406 [Google Scholar]
  19. Horner H. 2007. Eur. Phys. J. B 60:413 [Google Scholar]
  20. Le Doussal P, Müller M, Wiese K. 2010. Europhys. Lett. 91:57004 [Google Scholar]
  21. Le Doussal P, Müller M, Wiese K. 2012. Phys. Rev. B 85:214402 [Google Scholar]
  22. Sharma A, Andreanov A, Müller M. 2014. Phys. Rev. E 90:042103 [Google Scholar]
  23. Wyart M. 2012. Phys. Rev. Lett. 109:125502 [Google Scholar]
  24. Lerner E, During G, Wyart M. 2013. Soft Matter 9:8252–63 [Google Scholar]
  25. DeGiuli E, Laversanne-Finot A, Düring G, Lerner E, Wyart M. 2014. Soft Matter 10:5628–44 [Google Scholar]
  26. Kallus Y, Marcotte É, Torquato S. 2013. Phys. Rev. E 88:062151 [Google Scholar]
  27. Kallus Y, Torquato S. 2014. Phys. Rev. E 90:022114 [Google Scholar]
  28. Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. 2014. Nat. Commun. 5:3725 [Google Scholar]
  29. Parisi G. 1980. J. Phys. A 13:1101–12 [Google Scholar]
  30. Parisi G. 1980. J. Phys. A 13:L115–21 [Google Scholar]
  31. De Dominicis C, Kondor I. . 1983. Phys. Rev. B 27:606–8 [Google Scholar]
  32. Wyart M. 2005. Ann. Phys. 30:31 [Google Scholar]
  33. Brito C, Wyart M. 2006. Europhys. Lett. 76:149–55 [Google Scholar]
  34. Brito C, Wyart M. 2009. J. Chem. Phys. 131:024504 [Google Scholar]
  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 [Google Scholar]
  37. Cugliandolo L, Kurchan J. 1993. Phys. Rev. Lett. 71:173–76 [Google Scholar]
  38. Cugliandolo L, Kurchan J. 1994. J. Phys. Math. Gen. 27:5749 [Google Scholar]
  39. Kurchan J, Laloux L. 1996. J. Phys. Math. Gen. 29:1929–48 [Google Scholar]
  40. Sethna J, Dahmen K, Myers C. 2001. Nature 410:242–50 [Google Scholar]
  41. Bak P, Tang C, Wiesenfeld K. 1987. Phys. Rev. Lett. 59:381–84 [Google Scholar]
  42. Fisher DS. 1998. Phys. Rep. 301:113–50 [Google Scholar]
  43. Sherrington D, Kirkpatrick S. 1978. Phys. Rev. B 17:4384–404 [Google Scholar]
  44. Dobrosavljević V, Tanasković D, Pastor AA. 2003. Phys. Rev. Lett. 90:016402 [Google Scholar]
  45. Andresen JC, Zhu Z, Andrist RS, Katzgraber HG, Dobrosavljević V, Zimányi GT. 2013. Phys. Rev. Lett. 111:097203 [Google Scholar]
  46. Urbach JS, Madison RC, Markert JT. 2003. Phys. Rev. Lett. 90:087203 [Google Scholar]
  47. Perković O, Dahmin K, Sethna JP. 1995. Phys. Rev. Lett. 75:4528–31 [Google Scholar]
  48. Vives E, Goicoechea J, Ortín J, Planes A. 1995. Phys. Rev. E 52:R5–8 [Google Scholar]
  49. Boettcher S, Katzgraber HG, Sherrington D. 2008. J. Phys. A Math. Theor. 41:324007 [Google Scholar]
  50. Palmer RG, Pond CM. 1979. J. Phys. F Met. Phys. 9:1451–59 [Google Scholar]
  51. Anderson PW. 1979. Ill-Condensed Matter Balian R, Maynard R, Toulouse G. 159–261 Amsterdam: North-Holland [Google Scholar]
  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 [Google Scholar]
  54. Pankov S. 2006. Phys. Rev. Lett. 96:197204 [Google Scholar]
  55. Monthus C, Garel T. 2011. J. Stat. Mech. 2011:P07010 [Google Scholar]
  56. Efros AL, Skinner B, Shklovskii BI. 2011. Phys. Rev. B 84:064204 [Google Scholar]
  57. Möbius A, Richter M, Drittler B. 1992. Phys. Rev. B 45:11568 [Google Scholar]
  58. Ovadyahu Z. 2014. Phys. Rev. B 90:054204 [Google Scholar]
  59. Täuber UC, Dai H, Nelson DR, Lieber CM. 1995. Phys. Rev. Lett. 74:5132–35 [Google Scholar]
  60. Larkin AI, Khmel’nitskii DE. 1982. Zh. Eksp. Teor. Fiz 83:1140 Sov. Phys. JETP 56:647 [Google Scholar]
  61. Shklovskii BI. 2008. arXiv:0803.3331
  62. Baranovskii SD, Shklovskii BI, Efros AL. 2010. Phys. Rev. B 81:064408 [Google Scholar]
  63. Baranovskii SD, Shklovskii BI, Efros AL. 1984. Zh. Eksp. Teor. Fiz 87:1793 Sov. Phys. JETP 60:1031 [Google Scholar]
  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 [Google Scholar]
  66. Mason T, Weitz D. 1995. Phys. Rev. Lett. 75:2770–73 [Google Scholar]
  67. Parisi G, Zamponi F. 2010. Rev. Mod. Phys. 82:789–845 [Google Scholar]
  68. Liu AJ, Nagel SR, van Saarloos W, Wyart M. 2010. The Jamming Scenario: An Introduction and Outlook Oxford, UK: Oxford Univ. Press [Google Scholar]
  69. van Hecke M. 2010. J. Phys. Condens. Matter 22:033101 [Google Scholar]
  70. Alexander S. 1998. Phys. Rep. 296:65–236 [Google Scholar]
  71. O’Hern CS, Silbert LE, Liu AJ, Nagel SR. 2003. Phys. Rev. E 68:011306 [Google Scholar]
  72. Lerner E, DeGiuli E, Düring G, Wyart M. 2014. Soft Matter Phys. 10:5085–92 [Google Scholar]
  73. Maxwell J. 1864. Philos. Mag. 27:294–99 [Google Scholar]
  74. Tkachenko AV, Witten TA. 1999. Phys. Rev. E 60:687–96 [Google Scholar]
  75. Moukarzel CF. 1998. Phys. Rev. Lett. 81:1634–37 [Google Scholar]
  76. Donev A, Torquato S, Stillinger FH. 2005. Phys. Rev. E 71:011105 [Google Scholar]
  77. Silbert LE, Liu AJ, Nagel SR. 2006. Phys. Rev. E 73:041304 [Google Scholar]
  78. Charbonneau P, Corwin EI, Parisi G, Zamponi F. 2012. Phys. Rev. Lett. 109:205501 [Google Scholar]
  79. Snoeijer JH, Vlugt TJH, van Hecke M, van Saarloos W. 2004. Phys. Rev. Lett. 92:054302 [Google Scholar]
  80. Liu CH, Nagel SR, Schecter DA, Coppersmith SN, Majumdar S et al. 1995. Science 269:513–15 [Google Scholar]
  81. Lerner E, Düring G, Wyart M. 2012. Europhys. Lett. 99:58003 [Google Scholar]
  82. Otto M, Bouchaud J-P, Claudin P, Socolar JE. 2003. Phys. Rev. E 67:031302 [Google Scholar]
  83. Bouchaud JP, Claudin P, Levine D, Otto M. 2001. Eur. Phys. J. E 4:451–57 [Google Scholar]
  84. Combe G, Roux J-N. 2000. Phys. Rev. Lett. 85:3628–31 [Google Scholar]
  85. Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. 2014. J. Stat. Mech. 2014:P10009 [Google Scholar]
  86. Parisi G. 2003. Fractals 11:161–72 [Google Scholar]
  87. Amini M, Kravtsov V, Müller M. 2014. New J. Phys. 16:015022 [Google Scholar]
  88. Lerner E, Düring G, Wyart M. 2013. Comput. Phys. Commun. 184:628–37 [Google Scholar]
  89. DeGiuli E, Lerner E, During G, Wyart M. 2014. arXiv:1410.3535
  90. Kardar M. 1998. Phys. Rep. 301:85–112 [Google Scholar]
  91. Lin J, Saade A, Lerner E, Rosso A, Wyart M. 2014. Europhys. Lett. 105:26003 [Google Scholar]
  92. Narayan O, Middleton AA. 1994. Phys. Rev. B 49:244–56 [Google Scholar]
  93. Le Doussal P, Middleton AA, Wiese KJ. 2012. Phys. Rev. E 85:061102 [Google Scholar]
  94. Argon A. 1979. Acta Metall. 27:47–58 [Google Scholar]
  95. Falk ML, Langer JS. 1998. Phys. Rev. E 57:7192–205 [Google Scholar]
  96. Hébraud P, Lequeux F. 1998. Phys. Rev. Lett. 81:2934–37 [Google Scholar]
  97. Picard G, Ajdari A, Lequeux F, Bocquet L. 2004. Eur. Phys. J. E 15:371–81 [Google Scholar]
  98. Nicolas A, Rottler J, Barrat J-L. 2014. Eur. Phys. J. E 37:50 [Google Scholar]
  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 [Google Scholar]
  101. Salerno KM, Maloney CE, Robbins MO. 2012. Phys. Rev. Lett. 109:105703 [Google Scholar]
  102. Salerno KM, Robbins MO. 2013. Phys. Rev. E 88:062206 [Google Scholar]
  103. Maloney C, Lemaitre A. 2004. Phys. Rev. Lett. 93:016001 [Google Scholar]
  104. Mitchell J, Gangopadhyay A, Galitski V, Müller M. 2012. Phys. Rev. B 85:195141 [Google Scholar]
  105. Chen T, Skinner B, Shklovskii BI. 2012. Phys. Rev. B 86:045135 [Google Scholar]
  106. Ispánovity PD, Laurson L, Zaiser M, Groma I, Zapperi S, Alava MJ. 2014. Phys. Rev. Lett 112:235501 [Google Scholar]
  107. Falk ML, Langer JS. 2010. Annu. Rev. Cond. Matt. Phys. 2:353–73 [Google Scholar]
  108. Levin EI, Nguen VL, Shklovskii BI, Efros AL. 1987. Sov. Phys. JETP 65:842–56 [Google Scholar]
  109. Middleton AA. 1992. Phys. Rev. B 45:9465 [Google Scholar]
  110. Brazovskii S, Nattermann T. 2004. Adv. Phys. 53:177–253 [Google Scholar]
/content/journals/10.1146/annurev-conmatphys-031214-014614
Loading
/content/journals/10.1146/annurev-conmatphys-031214-014614
Loading

Data & Media loading...

  • Article Type: Review Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error