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Yielding of a model glass former: An interpretation with an effective system of icosahedra

Rhiannon Pinney1,2, Tanniemola B. Liverpool3,4, and C. Patrick Royall1,5,6,*

  • 1HH Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
  • 2Bristol Centre for Complexity Science, University of Bristol, Bristol BS8 1TS, United Kingdom
  • 3School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
  • 4BrisSynBio, Tyndall Avenue, Bristol BS8 1TQ, United Kingdom
  • 5School of Chemistry, University of Bristol, Cantock Close, Bristol BS8 1TS, United Kingdom
  • 6Centre for Nanoscience and Quantum Information, Tyndall Avenue, Bristol BS8 1FD, United Kingdom

  • *paddy.royall@bristol.ac.uk

Phys. Rev. E 97, 032609 – Published 28 March, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.032609

Abstract

We consider the yielding under simple shear of a binary Lennard-Jones glass former whose super-Arrhenius dynamics are correlated with the formation of icosahedral structures. We recast this glass former as an effective system of icosahedra [Pinney et al., J. Chem. Phys. 143, 244507 (2015)]. Looking at the small-strain region of sheared simulations, we observe that shear rates affect the shear localization behavior particularly at temperatures below the glass transition as defined with a fit to the Vogel-Fulcher-Tamman equation. At higher temperature, shear localization starts immediately on shearing for all shear rates. At lower temperatures, faster shear rates can result in a delayed start in shear localization, which begins close to the yield stress. Building from a previous work which considered steady-state shear [Pinney et al., J. Chem. Phys. 143, 244507 (2015)], we interpret the response to shear and the shear localization in terms of a local effective temperature with our system of icosahedra. We find that the effective temperatures of the regions undergoing shear localization increase significantly with increasing strain (before reaching a steady-state plateau).

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References (116)

  1. A. Cavagna, Phys. Rep. 476, 51 (2009).
  2. L. Berthier and G. Biroli, Rev. Mod. Phys. 83, 587 (2011).
  3. J.-L. Barrat and A. Lemaître, Heterogeneities in amorphous systems under shear, in Dynamical Heterogeneities in Glasses, Colloids, and Granular Media (Oxford University Press, Oxford, 2011).
  4. D. Bonn, M. M. Denn, L. Berthier, T. Divoux, and S. Manneville, Rev. Mod. Phys. 89, 035005 (2017).
  5. C. A. Schuh, T. C. Hufnagel, and U. Ramamurty, Acta Mater. 55, 4067 (2007).
  6. Y. Q. Cheng and E. Ma, Prog. Mater. Sci. 56, 379 (2011).
  7. R. Maaß and J. F. Löffler, Adv. Funct. Mater. 25, 2353 (2015).
  8. S. Saw, S. Abraham, and P. Harrowell, Phys. Rev. E 94, 022606 (2016).
  9. A. Widmer-Cooper, H. Perry, P. Harrowell, and D. R. Reichman, J. Chem. Phys. 131, 194508 (2009).
  10. R. Candelier, O. Dauchot, and G. Biroli, Phys. Rev. Lett. 102, 088001 (2009).
  11. N. Xu, V. Vitelli, A. Liu, and S. Nagel, Europhys. Lett. 90, 56001 (2010).
  12. M. Mosayebi, P. Ilg, A. Widmer-Cooper, and E. Del Gado, Phys. Rev. Lett. 112, 105503 (2014).
  13. M. L. Falk and J. S. Langer, Phys. Rev. E 57, 7192 (1998).
  14. M. L. Falk and J. S. Langer, Annu. Rev. Condens. Matter Phys. 2, 353 (2011).
  15. F. Puosi, J. Rottler, and J. L. Barrat, Phys. Rev. E 94, 032604 (2016).
  16. A. Amon, V. B. Nguyen, A. Bruand, J. Crassous, and E. Clément, Phys. Rev. Lett. 108, 135502 (2012).
  17. J. D. Eshelby, Proc. R. Soc. London A 241, 376 (1957).
  18. J. Chattoraj and A. Lemaître, Phys. Rev. Lett. 111, 066001 (2013).
  19. P. S. Steif, F. Spaepen, and J. W. Hutchinson, Acta Metall. Mater. 30, 447 (1982).
  20. M. L. Manning, J. S. Langer, and J. M. Carlson, Phys. Rev. E 76, 056106 (2007).
  21. J. Rottler, S. S. Schoenholz, and A. J. Liu, Phys. Rev. E 89, 042304 (2014).
  22. J. Antonaglia, W. J. Wright, X. Gu, R. R. Byer, T. C. Hufnagel, M. LeBlanc, J. T. Uhl, and K. A. Dahmen, Phys. Rev. Lett. 112, 155501 (2014).
  23. A. Lemaître and C. Caroli, Phys. Rev. Lett. 103, 065501 (2009).
  24. A. Tanguy, F. Leonforte, and J.-L. Barrat, Eur. Phys. J. E 20, 355 (2006).
  25. R. Besseling, L. Isa, P. Ballesta, G. Petekidis, M. E. Cates, and W. C. K. Poon, Phys. Rev. Lett. 105, 268301 (2010).
  26. V. Chikkadi, S. Mandal, B. Nienhuis, D. Raabe, F. Varnik, and P. Schall, Europhys. Lett. 100, 56001 (2012).
  27. V. Chikkadi, D. M. Miedema, M. T. Dang, B. Nienhuis, and P. Schall, Phys. Rev. Lett. 113, 208301 (2014).
  28. S. Mandal, V. Chikkadi, B. Nienhuis, D. Raabe, P. Schall, and F. Varnik, Phys. Rev. E 88, 022129 (2013).
  29. R. Benzi, M. Sbragaglia, P. Perlekar, M. Bernaschi, S. Succib, and F. Toschi, Soft Matter 10, 4615 (2014).
  30. A. Nicolas, J. Rottler, and J.-L. Barrat, Eur. Phys. J. E 37, 50 (2014).
  31. P. Sollich, Phys. Rev. E 58, 738 (1998).
  32. P. Hébraud and F. Lequeux, Phys. Rev. Lett. 81, 2934 (1998).
  33. K. Martens, L. Bocquet, and J.-L. Barrat, Soft Matter 8, 4197 (2012).
  34. E. Agoritsas, E. Bertin, K. Martens, and J.-L. Barrat, Eur. Phys. J. E 38, 71 (2015).
  35. J. Lin and M. Wyart, Phys. Rev. X 6, 011005 (2016).
  36. E. R. Homer, D. Rodney, and C. A. Schuh, Phys. Rev. B 81, 064204 (2010).
  37. M. Tsamados, A. Tanguy, C. Goldenberg, and J.-L. Barrat, Phys. Rev. E 80, 026112 (2009).
  38. S. Karmakar, A. Lemaître, E. Lerner, and I. Procaccia, Phys. Rev. Lett. 104, 215502 (2010).
  39. P. Charbonneau, J. Kurchan, G. Parisi, P. Urbani, and F. Zamponi, Nat. Commun. 5, 3725 (2014).
  40. L. Berthier, P. Charbonneau, Y. Jin, G. Parisi, B. Seone, and F. Zamponi, Proc. Nat. Acad. Sci. USA 113, 8397 (2016).
  41. G. Biroli and P. Urbani, Nat. Phys. 12, 1130 (2016).
  42. D. Bonn, S. Tanase, B. Abou, H. Tanaka, and J. Meunier, Phys. Rev. Lett. 89, 015701 (2002).
  43. M. Utz, P. G. Debenedetti, and F. H. Stillinger, Phys. Rev. Lett. 84, 1471 (2000).
  44. P. M. Derlet and R. Maaß, Acta Mater. 143, 205 (2018).
  45. I. K. Ono, C. S. O'Hern, D. J. Durian, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 89, 095703 (2002).
  46. L. Berthier and J.-L. Barrat, Phys. Rev. Lett. 89, 095702 (2002).
  47. Y. Shi, M. B. Katz, H. Li, and M. L. Falk, Phys. Rev. Lett. 98, 185505 (2007).
  48. M. L. Manning, E. G. Daub, J. S. Langer, and J. M. Carlson, Phys. Rev. E 79, 016110 (2009).
  49. N. P. Bailey, J. Schiotz, and K. W. Jacobsen, Phys. Rev. B 73, 064108 (2006).
  50. A. Nicolas, J. L. Barrat, and J. Rottler, Phys. Rev. Lett. 116, 058303 (2016).
  51. R. Pinney, T. B. Liverpool, and C. P. Royall, J. Chem. Phys. 143, 244507 (2015).
  52. R. Pinney, T. B. Liverpool, and C. P. Royall, J. Chem. Phys. 145, 234501 (2016).
  53. M. H. Cohen and D. Turnbull, J. Chem. Phys. 31, 1164 (1959).
  54. F. Spaepen, Acta Metall. 25, 407 (1977).
  55. S. G. Mayr, Phys. Rev. B 79, 060201 (2009).
  56. M. Dzugutov, S. I. Simdyankin, and F. H. M. Zetterling, Phys. Rev. Lett. 89, 195701 (2002).
  57. D. Coslovich and G. Pastore, J. Chem. Phys. 127, 124504 (2007).
  58. A. Malins, J. Eggers, C. P. Royall, S. R. Williams, and H. Tanaka, J. Chem. Phys. 138, 12A535 (2013).
  59. C. P. Royall and W. Kob, J. Stat. Mech.: Theory Exp. (2017) 024001.
  60. G. Biroli, J. P. Bouchaud, A. Cavagna, T. S. Grigera, and P. Verrochio, Nat. Phys. 4, 771 (2008).
  61. F. Sausset and D. Levine, Phys. Rev. Lett. 107, 045501 (2011).
  62. C. Cammarota and G. Biroli, Europhys. Lett. 98, 36005 (2012).
  63. A. J. Dunleavy, K. Wiesner, and C. P. Royall, Phys. Rev. E 86, 041505 (2012).
  64. M. Ozawa, W. Kob, A. Ikeda, and K. Miyazaki, Proc. Nat. Acad. Sci. USA 112, 6914 (2015).
  65. C. P. Royall and S. R. Williams, Phys. Rep. 560, 1 (2015).
  66. P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. B 28, 784 (1983).
  67. H. Jonsson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988).
  68. M. Dzugutov, Phys. Rev. A 46, R2984 (1992).
  69. J.-P. Eckmann and I. Procaccia, Phys. Rev. E 78, 011503 (2008).
  70. E. Lerner, I. Procaccia, and J. Zylberg, Phys. Rev. Lett. 102, 125701 (2009).
  71. F. Sausset and G. Tarjus, Phys. Rev. Lett. 104, 065701 (2010).
  72. H. Tanaka, T. Kawasaki, H. Shintani, and K. Watanabe, Nat. Mater. 9, 324 (2010).
  73. G. M. Hocky, D. Coslovich, A. Ikeda, and D. R. Reichman, Phys. Rev. Lett. 113, 157801 (2014).
  74. C. P. Royall, A. Malins, A. J. Dunleavy, and R. Pinney, J. Non-Cryst. Solids 407, 34 (2015).
  75. F. Turci, G. Tarjus, and C. P. Royall, Phys. Rev. Lett. 118, 215501 (2017).
  76. G. L. Hunter and E. R. Weeks, Rep. Prog. Phys. 75, 066501 (2012).
  77. H. Konig, R. Hund, K. Zahn, and G. Maret, Eur. Phys. J. E 18, 287 (2005).
  78. A. Ivlev, H. Löwen, G. Morfill, and C. P. Royall, Complex Plasmas and Colloidal Dispersions (World Scientific, Singapore, 2012).
  79. C. P. Royall, S. R. Williams, T. Ohtsuka, and H. Tanaka, Nat. Mater. 7, 556 (2008).
  80. S. Mazoyer, F. Ebert, G. Maret, and P. Keim, Eur. Phys. J. E 34, 1 (2011).
  81. M. Leocmach and H. Tanaka, Nat. Commun. 3, 974 (2012).
  82. E. Tamborini, C. P. Royall, and P. Cicuta, J. Phys.: Condens. Matter 27, 194124 (2015).
  83. A. Hirata, Y. Hirotsu, S. Kuboya, and T. Nieh, J. Alloys Compd. 483, 64 (2009).
  84. A. C. Y. Liu, M. J. Neish, G. Stokol, G. A. Buckley, L. A. Smillie, M. D. de Jonge, R. T. Ott, M. J. Kramer, and L. Bourgeois, Phys. Rev. Lett. 110, 205505 (2013).
  85. R. L. Jack, A. J. Dunleavy, and C. P. Royall, Phys. Rev. Lett. 113, 095703 (2014).
  86. P. Charbonneau and G. Tarjus, Phys. Rev. E 87, 042305 (2013).
  87. F. Albano and M. L. Falk, J. Chem. Phys. 122, 154508 (2005).
  88. Y. Shi and M. L. Falk, Phys. Rev. Lett. 95, 095502 (2005).
  89. S. Ding, J. Patineta, M. L. Falk, Y. Chenge, and E. Ma, Proc. Nat. Acad. Sci. USA 111, 14052 (2014).
  90. S. S. Schoenholz, A. J. Liu, R. A. Riggleman, and J. Rottler, Phys. Rev. X 4, 031014 (2014).
  91. J. Ding, Y. Q. Cheng, and E. Ma, Appl. Phys. Lett. 101, 121917 (2012).
  92. S. Feng, L. Qi, S. Pan, M. Ma, X. Zhang, G. Li, and R. Liu, Acta Mater. 95, 236 (2015).
  93. M. Hassani, P. Engels, D. Raabe, and F. Varnik, J. Stat. Mech.: Theory Exp. (2016) 084006.
  94. P. G. Debenedetti and F. H. Stillinger, Nature 410, 259 (2001).
  95. G. Adam and J. Gibbs, J. Chem. Phys. 43, 139 (1965).
  96. V. Lubchenko and P. Wolynes, Annu. Rev. Phys. Chem. 58, 235 (2007).
  97. G. Wahnström, Phys. Rev. A 44, 3752 (1991).
  98. C. A. Schuh, A. C. Lund, and T. G. Nieh, Acta Mater. 52, 5879 (2004).
  99. A. Wisitsorasak and P. G. Wolynes, Proc. Nat. Acad. Sci. USA 114, 1287 (2017).
  100. N. Lačević, F. W. Starr, T. B. Schrøder, and S. C. Glotzer, J. Chem. Phys. 119, 7372 (2003).
  101. A. Malins, S. R. Williams, J. Eggers, and C. P. Royall, J. Chem. Phys. 139, 234506 (2013).
  102. S. Plimpton, J. Comput. Phys. 117, 1 (1995).
  103. M. Q. Jiang, G. Wilde, and L. H. Dai, Mech. Mater. 81, 72 (2015).
  104. N. Koumakis, M. Laurati, S. U. Egelhaaf, J. F. Brady, and G. Petekidis, Phys. Rev. Lett. 108, 098303 (2012).
  105. J. Rottler and M. O. Robbins, Phys. Rev. E 68, 011507 (2003).
  106. F. Varnik, L. Bocquet, and J.-L. Barrat, J. Chem. Phys. 120, 2788 (2004).
  107. T. Sentjabrskaja, E. Babaliari, J. Hendricks, M. Laurati, G. Petekidis, and S. Egelhaaf, Soft Matter 9, 4524 (2013).
  108. J. Lu, G. Ravichandran, and W. L. Johnson, Acta Mater. 51, 3429 (2003).
  109. A. Gannepalli and S. K. Mallapragada, Nanotechnology 12, 250 (2001).
  110. D. J. Lacks and M. J. Osborne, Phys. Rev. Lett. 93, 255501 (2004).
  111. N. P. Bailey, T. S. Ingebrigtsen, J. S. Hansen, A. A. Veldhorst, L. Bøhling, C. A. Lemarchand, A. E. Olsen, A. K. Bacher, L. Costigliola, U. R. Pedersen et al., SciPost Phys. 3, 038 (2017).
  112. A. Ninarello, L. Berthier, and D. Coslovich, Phys. Rev. X 7, 021039 (2017).
  113. J. J. Lewandowski and L. Greer, Nat. Mater. 5, 15 (2006).
  114. K. Georgarakis, M. Aljerf, Y. Li, A. LeMoulec, F. Charlot, A. R. Yavari, K. Chornokhvostenko, E. Tabachnikova, G. A. Evangelakis, D. B. Miracle et al., Appl. Phys. Lett. 93, 031907 (2008).
  115. P. Thurnheer, F. Haag, and J. F. Löffler, Acta Mater. 115, 468 (2016).
  116. S. K. Slaughter, F. Kertis, E. Deda, X. Gu, W. J. Wright, and T. C. Hufnagel, APL Mater. 2, 096110 (2014).

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