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Yielding of a model glass former: An interpretation with an effective system of icosahedra
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)
- A. Cavagna, Phys. Rep. 476, 51 (2009).
- L. Berthier and G. Biroli, Rev. Mod. Phys. 83, 587 (2011).
- 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).
- D. Bonn, M. M. Denn, L. Berthier, T. Divoux, and S. Manneville, Rev. Mod. Phys. 89, 035005 (2017).
- C. A. Schuh, T. C. Hufnagel, and U. Ramamurty, Acta Mater. 55, 4067 (2007).
- Y. Q. Cheng and E. Ma, Prog. Mater. Sci. 56, 379 (2011).
- R. Maaß and J. F. Löffler, Adv. Funct. Mater. 25, 2353 (2015).
- S. Saw, S. Abraham, and P. Harrowell, Phys. Rev. E 94, 022606 (2016).
- A. Widmer-Cooper, H. Perry, P. Harrowell, and D. R. Reichman, J. Chem. Phys. 131, 194508 (2009).
- R. Candelier, O. Dauchot, and G. Biroli, Phys. Rev. Lett. 102, 088001 (2009).
- N. Xu, V. Vitelli, A. Liu, and S. Nagel, Europhys. Lett. 90, 56001 (2010).
- M. Mosayebi, P. Ilg, A. Widmer-Cooper, and E. Del Gado, Phys. Rev. Lett. 112, 105503 (2014).
- M. L. Falk and J. S. Langer, Phys. Rev. E 57, 7192 (1998).
- M. L. Falk and J. S. Langer, Annu. Rev. Condens. Matter Phys. 2, 353 (2011).
- F. Puosi, J. Rottler, and J. L. Barrat, Phys. Rev. E 94, 032604 (2016).
- A. Amon, V. B. Nguyen, A. Bruand, J. Crassous, and E. Clément, Phys. Rev. Lett. 108, 135502 (2012).
- J. D. Eshelby, Proc. R. Soc. London A 241, 376 (1957).
- J. Chattoraj and A. Lemaître, Phys. Rev. Lett. 111, 066001 (2013).
- P. S. Steif, F. Spaepen, and J. W. Hutchinson, Acta Metall. Mater. 30, 447 (1982).
- M. L. Manning, J. S. Langer, and J. M. Carlson, Phys. Rev. E 76, 056106 (2007).
- J. Rottler, S. S. Schoenholz, and A. J. Liu, Phys. Rev. E 89, 042304 (2014).
- 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).
- A. Lemaître and C. Caroli, Phys. Rev. Lett. 103, 065501 (2009).
- A. Tanguy, F. Leonforte, and J.-L. Barrat, Eur. Phys. J. E 20, 355 (2006).
- R. Besseling, L. Isa, P. Ballesta, G. Petekidis, M. E. Cates, and W. C. K. Poon, Phys. Rev. Lett. 105, 268301 (2010).
- V. Chikkadi, S. Mandal, B. Nienhuis, D. Raabe, F. Varnik, and P. Schall, Europhys. Lett. 100, 56001 (2012).
- V. Chikkadi, D. M. Miedema, M. T. Dang, B. Nienhuis, and P. Schall, Phys. Rev. Lett. 113, 208301 (2014).
- S. Mandal, V. Chikkadi, B. Nienhuis, D. Raabe, P. Schall, and F. Varnik, Phys. Rev. E 88, 022129 (2013).
- R. Benzi, M. Sbragaglia, P. Perlekar, M. Bernaschi, S. Succib, and F. Toschi, Soft Matter 10, 4615 (2014).
- A. Nicolas, J. Rottler, and J.-L. Barrat, Eur. Phys. J. E 37, 50 (2014).
- P. Sollich, Phys. Rev. E 58, 738 (1998).
- P. Hébraud and F. Lequeux, Phys. Rev. Lett. 81, 2934 (1998).
- K. Martens, L. Bocquet, and J.-L. Barrat, Soft Matter 8, 4197 (2012).
- E. Agoritsas, E. Bertin, K. Martens, and J.-L. Barrat, Eur. Phys. J. E 38, 71 (2015).
- J. Lin and M. Wyart, Phys. Rev. X 6, 011005 (2016).
- E. R. Homer, D. Rodney, and C. A. Schuh, Phys. Rev. B 81, 064204 (2010).
- M. Tsamados, A. Tanguy, C. Goldenberg, and J.-L. Barrat, Phys. Rev. E 80, 026112 (2009).
- S. Karmakar, A. Lemaître, E. Lerner, and I. Procaccia, Phys. Rev. Lett. 104, 215502 (2010).
- P. Charbonneau, J. Kurchan, G. Parisi, P. Urbani, and F. Zamponi, Nat. Commun. 5, 3725 (2014).
- L. Berthier, P. Charbonneau, Y. Jin, G. Parisi, B. Seone, and F. Zamponi, Proc. Nat. Acad. Sci. USA 113, 8397 (2016).
- G. Biroli and P. Urbani, Nat. Phys. 12, 1130 (2016).
- D. Bonn, S. Tanase, B. Abou, H. Tanaka, and J. Meunier, Phys. Rev. Lett. 89, 015701 (2002).
- M. Utz, P. G. Debenedetti, and F. H. Stillinger, Phys. Rev. Lett. 84, 1471 (2000).
- P. M. Derlet and R. Maaß, Acta Mater. 143, 205 (2018).
- 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).
- L. Berthier and J.-L. Barrat, Phys. Rev. Lett. 89, 095702 (2002).
- Y. Shi, M. B. Katz, H. Li, and M. L. Falk, Phys. Rev. Lett. 98, 185505 (2007).
- M. L. Manning, E. G. Daub, J. S. Langer, and J. M. Carlson, Phys. Rev. E 79, 016110 (2009).
- N. P. Bailey, J. Schiotz, and K. W. Jacobsen, Phys. Rev. B 73, 064108 (2006).
- A. Nicolas, J. L. Barrat, and J. Rottler, Phys. Rev. Lett. 116, 058303 (2016).
- R. Pinney, T. B. Liverpool, and C. P. Royall, J. Chem. Phys. 143, 244507 (2015).
- R. Pinney, T. B. Liverpool, and C. P. Royall, J. Chem. Phys. 145, 234501 (2016).
- M. H. Cohen and D. Turnbull, J. Chem. Phys. 31, 1164 (1959).
- F. Spaepen, Acta Metall. 25, 407 (1977).
- S. G. Mayr, Phys. Rev. B 79, 060201 (2009).
- M. Dzugutov, S. I. Simdyankin, and F. H. M. Zetterling, Phys. Rev. Lett. 89, 195701 (2002).
- D. Coslovich and G. Pastore, J. Chem. Phys. 127, 124504 (2007).
- A. Malins, J. Eggers, C. P. Royall, S. R. Williams, and H. Tanaka, J. Chem. Phys. 138, 12A535 (2013).
- C. P. Royall and W. Kob, J. Stat. Mech.: Theory Exp. (2017) 024001.
- G. Biroli, J. P. Bouchaud, A. Cavagna, T. S. Grigera, and P. Verrochio, Nat. Phys. 4, 771 (2008).
- F. Sausset and D. Levine, Phys. Rev. Lett. 107, 045501 (2011).
- C. Cammarota and G. Biroli, Europhys. Lett. 98, 36005 (2012).
- A. J. Dunleavy, K. Wiesner, and C. P. Royall, Phys. Rev. E 86, 041505 (2012).
- M. Ozawa, W. Kob, A. Ikeda, and K. Miyazaki, Proc. Nat. Acad. Sci. USA 112, 6914 (2015).
- C. P. Royall and S. R. Williams, Phys. Rep. 560, 1 (2015).
- P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. B 28, 784 (1983).
- H. Jonsson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988).
- M. Dzugutov, Phys. Rev. A 46, R2984 (1992).
- J.-P. Eckmann and I. Procaccia, Phys. Rev. E 78, 011503 (2008).
- E. Lerner, I. Procaccia, and J. Zylberg, Phys. Rev. Lett. 102, 125701 (2009).
- F. Sausset and G. Tarjus, Phys. Rev. Lett. 104, 065701 (2010).
- H. Tanaka, T. Kawasaki, H. Shintani, and K. Watanabe, Nat. Mater. 9, 324 (2010).
- G. M. Hocky, D. Coslovich, A. Ikeda, and D. R. Reichman, Phys. Rev. Lett. 113, 157801 (2014).
- C. P. Royall, A. Malins, A. J. Dunleavy, and R. Pinney, J. Non-Cryst. Solids 407, 34 (2015).
- F. Turci, G. Tarjus, and C. P. Royall, Phys. Rev. Lett. 118, 215501 (2017).
- G. L. Hunter and E. R. Weeks, Rep. Prog. Phys. 75, 066501 (2012).
- H. Konig, R. Hund, K. Zahn, and G. Maret, Eur. Phys. J. E 18, 287 (2005).
- A. Ivlev, H. Löwen, G. Morfill, and C. P. Royall, Complex Plasmas and Colloidal Dispersions (World Scientific, Singapore, 2012).
- C. P. Royall, S. R. Williams, T. Ohtsuka, and H. Tanaka, Nat. Mater. 7, 556 (2008).
- S. Mazoyer, F. Ebert, G. Maret, and P. Keim, Eur. Phys. J. E 34, 1 (2011).
- M. Leocmach and H. Tanaka, Nat. Commun. 3, 974 (2012).
- E. Tamborini, C. P. Royall, and P. Cicuta, J. Phys.: Condens. Matter 27, 194124 (2015).
- A. Hirata, Y. Hirotsu, S. Kuboya, and T. Nieh, J. Alloys Compd. 483, 64 (2009).
- 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).
- R. L. Jack, A. J. Dunleavy, and C. P. Royall, Phys. Rev. Lett. 113, 095703 (2014).
- P. Charbonneau and G. Tarjus, Phys. Rev. E 87, 042305 (2013).
- F. Albano and M. L. Falk, J. Chem. Phys. 122, 154508 (2005).
- Y. Shi and M. L. Falk, Phys. Rev. Lett. 95, 095502 (2005).
- S. Ding, J. Patineta, M. L. Falk, Y. Chenge, and E. Ma, Proc. Nat. Acad. Sci. USA 111, 14052 (2014).
- S. S. Schoenholz, A. J. Liu, R. A. Riggleman, and J. Rottler, Phys. Rev. X 4, 031014 (2014).
- J. Ding, Y. Q. Cheng, and E. Ma, Appl. Phys. Lett. 101, 121917 (2012).
- S. Feng, L. Qi, S. Pan, M. Ma, X. Zhang, G. Li, and R. Liu, Acta Mater. 95, 236 (2015).
- M. Hassani, P. Engels, D. Raabe, and F. Varnik, J. Stat. Mech.: Theory Exp. (2016) 084006.
- P. G. Debenedetti and F. H. Stillinger, Nature 410, 259 (2001).
- G. Adam and J. Gibbs, J. Chem. Phys. 43, 139 (1965).
- V. Lubchenko and P. Wolynes, Annu. Rev. Phys. Chem. 58, 235 (2007).
- G. Wahnström, Phys. Rev. A 44, 3752 (1991).
- C. A. Schuh, A. C. Lund, and T. G. Nieh, Acta Mater. 52, 5879 (2004).
- A. Wisitsorasak and P. G. Wolynes, Proc. Nat. Acad. Sci. USA 114, 1287 (2017).
- N. Lačević, F. W. Starr, T. B. Schrøder, and S. C. Glotzer, J. Chem. Phys. 119, 7372 (2003).
- A. Malins, S. R. Williams, J. Eggers, and C. P. Royall, J. Chem. Phys. 139, 234506 (2013).
- S. Plimpton, J. Comput. Phys. 117, 1 (1995).
- M. Q. Jiang, G. Wilde, and L. H. Dai, Mech. Mater. 81, 72 (2015).
- N. Koumakis, M. Laurati, S. U. Egelhaaf, J. F. Brady, and G. Petekidis, Phys. Rev. Lett. 108, 098303 (2012).
- J. Rottler and M. O. Robbins, Phys. Rev. E 68, 011507 (2003).
- F. Varnik, L. Bocquet, and J.-L. Barrat, J. Chem. Phys. 120, 2788 (2004).
- T. Sentjabrskaja, E. Babaliari, J. Hendricks, M. Laurati, G. Petekidis, and S. Egelhaaf, Soft Matter 9, 4524 (2013).
- J. Lu, G. Ravichandran, and W. L. Johnson, Acta Mater. 51, 3429 (2003).
- A. Gannepalli and S. K. Mallapragada, Nanotechnology 12, 250 (2001).
- D. J. Lacks and M. J. Osborne, Phys. Rev. Lett. 93, 255501 (2004).
- 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).
- A. Ninarello, L. Berthier, and D. Coslovich, Phys. Rev. X 7, 021039 (2017).
- J. J. Lewandowski and L. Greer, Nat. Mater. 5, 15 (2006).
- 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).
- P. Thurnheer, F. Haag, and J. F. Löffler, Acta Mater. 115, 468 (2016).
- S. K. Slaughter, F. Kertis, E. Deda, X. Gu, W. J. Wright, and T. C. Hufnagel, APL Mater. 2, 096110 (2014).