Finite-size scaling for the glass transition: The role of a static length scale

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 6, 2012, Pages

  Karmakar, Smarajit ^a   Procaccia, Itamar ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE SIZE SCALING; FINITE-SIZE SCALING THEORY; ORDERS OF MAGNITUDE; PHYSICAL PHENOMENA; SHEDDING LIGHT; SIMULATED SYSTEM; SMALL SYSTEMS; STATIC LENGTH SCALE; SUPERCOOLED LIQUIDS; SYSTEM SIZE DEPENDENCE; THERMODYNAMIC LIMITS;

CRYOGENIC LIQUIDS; GLASS TRANSITION; SUPERCOOLING;

COMPUTER SIMULATION;

EID: 84871743750     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.061502     Document Type: Article

References (36)

1. A. Cavagna, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.03.003 476, 51 (2009).
2. L. Berthier and G. Biroli, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.587 83, 587 (2011).
3. S. Karmakar, E. Lerner, and I. Procaccia, Physica A PHYADX 0378-4371 10.1016/j.physa.2011.11.020 391, 1001 (2012).
4. K. Binder, Z. Phys. B 0722-3277 10.1007/BF01293604 43, 119 (1990).
5. G. Biroli, J.-P. Bouchaud, A. Cavagna, T. S. Grigera, and P. Verrochio, Nat. Phys. 1745-2473 10.1038/nphys1050 4, 771 (2008).
6. L. Berthier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 055701 91, 055701 (2003).
7. S. Karmakar, C. Dasgupta, and S. Sastry, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0811082106 106, 3675 (2009).
8. C. Dasgupta, A. V. Indrani, S. Ramaswamy, and M. K. Phani, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/15/3/013 15, 307 (1991).
9. C. Donati, J. F. Douglas, W. Kob, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2338 80, 2338 (1998).
10. K. Kim and R. Yamamoto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.R41 61, 41 (R) (2000).
11. S. Franz and G. Parisi, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/29/305 12, 6335 (2000).
12. C. Brangian, W. Kob, and K. Binder, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00216-4 53, 756 (2001).
13. C. Donati, F. Franz, G. Parisi, and S. C. Glotzer, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(02)01461-8 307, 215 (2002). (Pubitemid 34867006)
14. S. Karmakar, C. Dasgupta, and S. Sastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.015701 105, 015701 (2010).
15. S. Karmakar, C. Dasgupta, and S. Sastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.019801 105, 019801 (2010).
16. C. Rehwald, O. Rubner, and A. Heuer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.117801 105, 117801 (2010).
17. J. Horbach, W. Kob, K. Binder, and C. A. Angell, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.R5897 54, 5897 (R) (1996).
18. S. Buchner and A. Heuer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.6507 60, 6507 (1999).
19. D. Doliwa and A. Heuer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/11/309 15, S849 (2003).
20. G. Adams and J. H. Gibbs, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1696442 43, 139 (1965).
21. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.1045 40, 1045 (1989).
22. V. Lubchenko and P. G. Wolynes, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.58.032806.104653 58, 235 (2007). (Pubitemid 46880966)
23. G. Biroli and J.-P. Bouchaud, in Structural Glasses and Supercooled Liquids: Theory, Experiment, and Applications, edited by, P. G. Wolynes, and, V. Lubchenko, (John Wiley & Sons, Inc., Hoboken, New Jersey, 2012).
24. J. Kurchan and D. Levine, J. Phys. A 1751-8113 10.1088/1751-8113/44/3/ 035001 44, 035001 (2011).
25. F. Sausset and D. Levine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.045501 107, 045501 (2011).
26. A. Ghosh, V. K. Chikkadi, P. Schall, J. Kurchan, and D. Bonn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.248305 104, 248305 (2010).
27. L. Berthier, G. Biroli, D. Coslovich, W. Kob, and C. Toninelli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.031502 86, 031502 (2012).
28. S. Karmakar, E. Lerner, I. Procaccia, and J. Zylberg, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.046106 83, 046106 (2011).
29. W. Kob and H. C. Andersen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51.4626 51, 4626 (1995).
30. R. Bruning, D. A. St-Onge, S. Patterson, and W. Kob, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/3/035117 21, 035117 (2009).
31. S. Sengupta, S. Karmakar, C. Dasgupta, and S. Sastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.095705 109, 095705 (2012).
32. H. J. C. Berendsen, J. P. M. Postma, W. F. van Gunsteren, A. Dinola, and J. R. Haak, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448118 81, 3684 (1984).
33. http://en.wikipedia.org/wiki/Lanczos-algorithm.
34. S. Sastry, Nature (London) NATUAS 0028-0836 10.1038/35051524 409, 164 (2001). (Pubitemid 32146167)
35. H. G. E. Hentschel, S. Karmakar, I. Procaccia, and J. Zylberg, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.061501 85, 061501 (2012).
36. G. M. Hocky and T. E. Markland, D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.225506 108, 225506 (2012).