Nonequilibrium mode-coupling theory for uniformly sheared underdamped systems

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

Volumn 87, Issue 1, 2013, Pages

  Suzuki, Koshiro ^a   Hayakawa, Hisao ^b  

^a CANON INC   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT FLUCTUATIONS; DISSIPATIVE COUPLING; INERTIA EFFECTS; ISOTHERMAL CONDITIONS; MODE-COUPLING THEORY; MOLECULAR DYNAMICS SIMULATIONS; NON EQUILIBRIUM; RELAXATION REGIMES; TRANSIENT TIME; TRANSLATIONAL INVARIANCE; UNDERDAMPED SYSTEMS; WAVE VECTOR;

CORRELATORS; LIOUVILLE EQUATION;

MOLECULAR DYNAMICS;

ARTICLE; CHEMICAL MODEL; CHEMISTRY; COLLOID; COMPUTER SIMULATION; FLOW KINETICS; METHODOLOGY; NONLINEAR SYSTEM; SHEAR STRENGTH;

COLLOIDS; COMPUTER SIMULATION; MODELS, CHEMICAL; NONLINEAR DYNAMICS; RHEOLOGY; SHEAR STRENGTH;

EID: 84872590364     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.012304     Document Type: Article

References (47)

1. W. Götze and L. Sjogren, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/3/001 55, 241 (1992).
2. W. Götze, Complex Dynamics of Glass-Forming Liquids. A Mode Coupling Theory (Oxford, New York, 2009).
3. K. Miyazaki, Bussei Kenkyu 88, 621 (2007), in Japanese.
4. W. van Megen and S. M. Underwood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2766 70, 2766 (1993).
5. W. van Megen and S. M. Underwood, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49.4206 49, 4206 (1994).
6. Y. Yang and K. A. Nelson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.471782 104, 5429 (1996).
7. A. Meyer, J. Wuttke, W. Petry, O. G. Randl, and H. Schober, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4454 80, 4454 (1998).
8. J. Wuttke, M. Ohl, M. Goldammer, S. Roth, U. Schneider, P. Lunkenheimer, R. Kahn, B. Ruffle, R. Lechner, and M. A. Berg, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.2730 61, 2730 (2000).
9. J. Horbach and W. Kob, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64. 041503 64, 041503 (2001).
10. G. Foffi, W. Götze, F. Sciortino, P. Tartaglia, and T. Voigtmann, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.011505 69, 011505 (2004).
11. W. Kob and H. C. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1376 73, 1376 (1994).
12. A. Andreanov, G. Biroli, and A. Lefevre, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2006/07/P07008 (2006) P07008.
13. B. Kim and K. Kawasaki, J. Phys. A 1751-8113 10.1088/1751-8113/40/1/F04 40, F33 (2007).
14. B. Kim and K. Kawasaki, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2008/ 02/P02004 (2008) P02004.
15. T. H. Nishino and H. Hayakawa, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.061502 78, 061502 (2008).
16. H. Jacquin and F. van Wijland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.210602 106, 210602 (2011).
17. G. Szamel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 228301 90, 228301 (2003).
18. G. Szamel, Prog. Theor. Exp. Phys. 10.1093/ptep/pts036 2013, 012J01 (2013).
19. P. Mayer, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.095702 97, 095702 (2006). (Pubitemid 44329377)
20. G. Biroli, J. P. Bouchaud, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.195701 97, 195701 (2006). (Pubitemid 44707961)
21. H. Hayakawa and M. Otsuki, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.119.381 119, 381 (2008).
22. W. T. Kranz, M. Sperl, and A. Zippelius, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.225701 104, 225701 (2010).
23. K. Suzuki and H. Hayakawa, submitted for publication (2013).
24. M. Fuchs and M. E. Cates, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.248304 89, 248304 (2002).
25. K. Miyazaki and D. R. Reichman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.050501 66, 050501(R) (2002). (Pubitemid 40618450)
26. S.-H. Chong and B. Kim, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.021203 79, 021203 (2009).
27. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids, 2nd ed. (Cambridge University Press, Cambridge, 2008).
28. M. Fuchs and M. E. Cates, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/20/003 17, S1681 (2005). (Pubitemid 40666541)
29. P. J. Daivis and B. D. Todd, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2192775 124, 194103 (2006). (Pubitemid 43781999)
30. M. Fuchs and M. E. Cates, J. Rheol. JORHD2 0148-6055 10.1122/1.3119084 53, 957 (2009).
31. G. Szamel and H. Löwen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.8215 44, 8215 (1991).
32. T. Gleim, W. Kob, and K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4404 81, 4404 (1998).
33. G. Szamel and E. Flenner, Euro. Phys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10117-6 67, 779 (2004). (Pubitemid 39202894)
34. J. Zausch, J. Horbach, M. Laurati, S. U. Egelhaaf, J. M. Brader, T. Voigtmann, and M. Fuchs, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/40/404210 20, 404210 (2008).
35. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, London, 2006).
36. S.-H. Chong, K. Suzuki, M. Otsuki, and H. Hayakawa, in preparation.
37. K. Suzuki and H. Hayakawa, in Slow Dynamics in Complex Systems, edited by, M. Tokuyama, (AIP, New York, 2013).
38. K. Miyazaki, D. R. Reichman, and R. Yamamoto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.011501 70, 011501 (2004).
39. O. Henrich, F. Weysser, M. E. Cates, and M. Fuchs, Philos. Trans. R. Soc. A PTRMAD 1364-503X 10.1098/rsta.2009.0191 367, 5033 (2009).
40. M. Fuchs, W. Götze, I. Hofacker, and A. Latz, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/3/26/022 3, 5047 (1991).
41. T. Franosch, M. Fuchs, W. Götze, M. R. Mayr, and A. P. Singh, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.55.7153 55, 7153 (1997).
42. N. K. Ailawadi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.2200 7, 2200 (1973).
43. N. V. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, New York, 2010).
44. S.-H. Chong, M. Otsuki, and H. Hayakawa, Prog. Theor. Phys. Suppl. PTPSAL 0375-9687 10.1143/PTPS.184.72 184, 72 (2010).
45. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer, Berlin, 1995).
46. T. S. Komatsu and N. Nakagawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030601 100, 030601 (2008). (Pubitemid 351161772)
47. G. P. Morriss and D. J. Evans, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.6335 39, 6335 (1989).