Coarse-grained single-particle dynamics in two-dimensional solids and liquids

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

Volumn 78, Issue 1, 2008, Pages

  Silbermann, Jörg R ^a   Schoen, Martin ^a   Klapp, Sabine H L ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LIQUID PHASE EPITAXY; MATHEMATICAL OPERATORS; MOLECULAR DYNAMICS; POLYNOMIAL APPROXIMATION; QUANTUM CHEMISTRY; TWO DIMENSIONAL;

CHARACTERISTIC TIME; COARSE-GRAINED; DATA SETS; GENERALIZED LANGEVIN EQUATIONS; HARMONIC APPROXIMATIONS; HIGH TEMPERATURES; HIGHER TEMPERATURES; LENNARD-JONES INTERACTIONS; LIQUID-PHASE; LOW TEMPERATURES; MOLECULAR DYNAMICS SIMULATIONS; PROJECTION OPERATORS; SINGLE-PARTICLE DYNAMICS; TAGGED PARTICLE; TWO-DIMENSIONAL SYSTEMS;

DYNAMICS;

EID: 48349130722     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.011201     Document Type: Article

References (47)

1. Novel Methods in Soft Matter Simulations, edited by, M. Karttunen, I. Vattulainen, and, A. Lukkarinen, Lecture Notes in Physics No. 640 (Springer, Berlin, 2004).
2. F. Müller-Plathe, Soft Mater. SMOAEE 1539-445X 10.1081/SMTS- 120016739 1, 1 (2003).
3. A. van den Noort, W. K. den Otter, and W. J. Briels, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/28003 80, 28003 (2007).
4. P. J. Hoogerbrugge and J. M. V. A. Koelman, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/19/3/001 19, 155 (1992);
5. J. M. V. A. Koelman and P. J. Hoogerbrugge, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/21/3/018 21, 363 (1993).
6. R. D. Groot and P. B. Warren, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.474784 107, 4423 (1997).
7. C. N. Likos, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00141-1 348, 267 (2001).
8. S. H. L. Klapp, D. J. Diestler, and M. Schoen, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/41/014 16, 7331 (2004).
9. H. Bock, K. E. Gubbins, and S. H. L. Klapp, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.267801 98, 267801 (2007).
10. S. H. L. Klapp, J. R. Silbermann, and M. Schoen, Mol. Phys. MOPHAM 0026-8976 105, 1039 (2007).
11. H. Mori, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.33.423 33, 423 (1965).
12. R. Zwanzig, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.983 124, 983 (1961).
13. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd. ed. (Academic, London, 2006).
14. R. L. C. Akkermans and W. J. Briels, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1308513 113, 6409 (2000).
15. O. F. Lange and H. Grubmüller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2199530 124, 214903 (2006).
16. M. Stepanova, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.051918 76, 051918 (2007).
17. S. Izvekov and G. A. Voth, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2360580 125, 151101 (2006).
18. D. Cubero and S. N. Yaliraki, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1829253 122, 034108 (2005).
19. T. Kinjo and S. A. Hyodo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.051109 75, 051109 (2007).
20. J. M. Deutch and R. Silbey, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.2049 3, 2049 (1971).
21. K. Wada and J. Hori, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.49.129 49, 129 (1973).
22. M. Kröger, Soft Matter SMOABF 1744-683X 10.1039/b710147c 4, 18 (2008).
23. M. Kröger, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.10.014 390, 453 (2004).
24. P. Espanol, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.1572 53, 1572 (1996).
25. C. Hijon, M. Serrano, and P. Espanol, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2390701 125, 204101 (2006).
26. P. Keim, G. Maret, U. Herz, and H. H. von Grünberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.215504 92, 215504 (2004).
27. K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2721 82, 2721 (1999).
28. K. Zahn and G. Maret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3656 85, 3656 (2000).
29. M. J. Vlot and J. P. van der Eerden, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.477229 109, 6043 (1998).
30. B. J. Alder and T. E. Wainwright, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.359 127, 359 (1962).
31. W. G. Hoover and S. Hess, Physica A PHYADX 0378-4371 10.1016/S0378- 4371(98)00671-2 267, 98 (1999).
32. D. A. McQuarrie, Statistical Mechanics (Harper & Row, New York, 1976).
33. B. J. Berne and G. D. Harpe, in Advanced Chemical Physics, edited by, I. Prigogine, and, S. A. Rice, (Interscience Publishers, New York, 1970), Vol. XVII.
34. J. R. Silbermann, Ph.D. thesis, Technische Universität Berlin, Berlin, 2008.
35. K. Chen, T. Kaplan, and M. Mostoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4019 74, 4019 (1995).
36. N. D. Mermin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.250 176, 250 (1968).
37. V. M. Bedanov and G. V. Gadiyak, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(85)90617-6 109A, 289 (1985).
38. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
39. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.41.121 41, 121 (1978).
40. D. R. Nelson and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.2457 19, 2457 (1979).
41. A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.1855 19, 1855 (1979).
42. K. J. Strandburg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.60. 161 60, 161 (1988).
43. B. J. Alder and T. E. Wainwright, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.1.18 1, 18 (1970).
44. S. A. Adelman, Adv. Chem. Phys. ADCPAA 0065-2385 40, 143 (1980).
45. E. Fick and G. Sauermann, Quantenstatistik Dynamischer Prozesse (Verlag Harry Deutsch, Frankfurt am Main, 1983), Bd. I.
46. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Academic, London, 1987).
47. M. Berkowitz, and J. A. McCammon, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(82)80028-6 90, 215 (1982).