Lyapunov spectra and conjugate-pairing rule for confined atomic fluids

Journal of Chemical Physics

Volumn 132, Issue 24, 2010, Pages

  Bernardi, Stefano ^a   Todd, B D ^a   Hansen, J S ^b   Searles, Debra J ^c   Frascoli, Federico ^a  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

^b ROSKILDE UNIVERSITY   (Denmark)

^c GRIFFITH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC DIAMETER; CONFINED SYSTEMS; COUETTE FLOWS; DEGREES OF FREEDOM; FLUID ATOMS; HOMOGENEOUS FLOW; LYAPUNOV EXPONENT; LYAPUNOV SPECTRUM; LYAPUNOV VECTORS; NARROW CHANNEL; NEWTONIAN FLUIDS; NONEQUILIBRIUM MOLECULAR DYNAMICS SIMULATION; PHASE SPACES; POISEUILLE FLOW; REDUCED-DIMENSIONAL; WALL REGION; WHOLE SYSTEMS;

ATOMS; CHAOS THEORY; FLUIDS; LYAPUNOV FUNCTIONS; MOLECULAR DYNAMICS; PHASE SPACE METHODS; VECTOR SPACES;

ATOMIC SPECTROSCOPY;

ARTICLE; MOLECULAR DYNAMICS; MOTION; SPECTROSCOPY; SURFACE PROPERTY; TEMPERATURE;

MOLECULAR DYNAMICS SIMULATION; MOTION; SPECTRUM ANALYSIS; SURFACE PROPERTIES; TEMPERATURE;

EID: 77954181828     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3446809     Document Type: Article

References (53)

1. H. A. Posch and W. G. Hoover, J. Phys.: Conf. Ser. JPCSDZ 1742-6588 31, 9 (2006). 10.1088/1742-6596/31/1/002 (Pubitemid 43486678)
2. G. P. Morriss, Phys. Rev. A PLRAAN 1050-2947 37, 2118 (1988). 10.1103/PhysRevA.37.2118
3. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. PRLTAO 0031-9007 71, 2401 (1993). 10.1103/PhysRevLett.71.2401
4. D. J. Evans and D. J. Searles, Adv. Phys. ADPHAH 0001-8732 51, 1529 (2002). 10.1080/00018730210155133 (Pubitemid 35458027)
5. O. Jepps, D. J. Evans, and D. J. Searles, Physica D PDNPDT 0167-2789 187, 326 (2004). 10.1016/j.physd.2003.09.019
6. E. M. Sevick, R. Prabhakar, S. R. Williams, and D. J. Searles, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 59, 603 (2008). 10.1146/annurev.physchem.58. 032806.104555 (Pubitemid 351703399)
7. N. I. Chernov, G. L. Eyink, J. L. Lebowitz, and Y. G. Sinai, Phys. Rev. Lett. PRLTAO 0031-9007 70, 2209 (1993). 10.1103/PhysRevLett.70.2209
8. B. Moran, W. G. Hoover, and S. Bestiale, J. Stat. Phys. JSTPBS 0022-4715 48, 709 (1987). 10.1007/BF01019693
9. W. G. Hoover and H. A. Posch, Chaos CHAOEH 1054-1500 8, 366 (1998). 10.1063/1.166318 (Pubitemid 128088221)
10. W. G. Hoover, J. Chem. Phys. JCPSA6 0021-9606 109, 4164 (1998). 10.1063/1.477022 (Pubitemid 128678628)
11. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Cambridge University Press, London, 1990).
12. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A PLRAAN 1050-2947 42, 5990 (1990). 10.1103/PhysRevA.42.5990
13. E. G. D. Cohen, Physica A PHYADX 0378-4371 213, 293 (1995). 10.1016/0378-4371(94)00207-A
14. S. Sarman, D. J. Evans, and G. P. Morriss, Phys. Rev. A PLRAAN 1050-2947 45, 2233 (1992). 10.1103/PhysRevA.45.2233
15. D. J. Searles, D. J. Evans, and D. J. Isbister, Chaos CHAOEH 1054-1500 8, 337 (1998). 10.1063/1.166315 (Pubitemid 128088218)
16. F. Frascoli, D. J. Searles, and B. D. Todd, Phys. Rev. E PLEEE8 1063-651X 73, 046206 (2006). 10.1103/PhysRevE.73.046206
17. F. Bonetto, E. G. D. Cohen, and C. Pugh, J. Stat. Phys. JSTPBS 0022-4715 92, 587 (1998). 10.1023/A:1023040621826
18. C. P. Dettmann and G. P. Morriss, Phys. Rev. E PLEEE8 1063-651X 53, R5545 (1996). 10.1103/PhysRevE.53.R5545
19. J. Gollub, U.S. National Committee on Theoretical and Applied Mechanics Technical Report, 2006.
20. D. J. Evans and G. P. Morriss, Comput. Phys. Rep. CPHREF 0167-7977 1, 297 (1984). 10.1016/0167-7977(84)90001-7
21. A. W. Lees and S. F. Edwards, J. Phys. C JPSOAW 0022-3719 5, 1921 (1972). 10.1088/0022-3719/5/15/006
22. W. G. Hoover, D. J. Evans, R. B. Hickman, A. J. C. Ladd, W. T. Ashurst, and B. Moran, Phys. Rev. A PLRAAN 1050-2947 22, 1690 (1980). 10.1103/PhysRevA.22.1690
23. P. J. Daivis and B. D. Todd, J. Chem. Phys. JCPSA6 0021-9606 124, 194103 (2006). 10.1063/1.2192775 (Pubitemid 43781999)
24. J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. JCPSA6 0021-9606 54, 5237 (1971). 10.1063/1.1674820
25. D. M. Heyes and H. Okumura, Mol. Simul. MOSIEA 0892-7022 32, 45 (2006). 10.1080/08927020500529442
26. F. Frascoli, D. J. Searles, and B. D. Todd, Phys. Rev. E PLEEE8 1063-651X 77, 056217 (2008). 10.1103/PhysRevE.77.056217
27. D. Panja and R. van Zon, Phys. Rev. E PLEEE8 1063-651X 66, 021101 (2002). 10.1103/PhysRevE.66.021101 (Pubitemid 40618627)
28. W. G. Hoover, H. A. Posch, and C. G. Hoover, Chaos CHAOEH 1054-1500 2, 245 (1992). 10.1063/1.165910
29. H. A. Posch and W. G. Hoover, Phys. Rev. A PLRAAN 1050-2947 39, 2175 (1989). 10.1103/PhysRevA.39.2175
30. K. Aoki and D. Kusnezov, Phys. Rev. E PLEEE8 1063-651X 68, 056204 (2003). 10.1103/PhysRevE.68.056204
31. W. G. Hoover, H. A. Posch, K. Aoki, and D. Kusnezov, Europhys. Lett. EULEEJ 0295-5075 60, 337 (2002). 10.1209/epl/i2002-00269-3
32. H. A. Posch and W. G. Hoover, Physica D PDNPDT 0167-2789 187, 281 (2004). 10.1016/j.physd.2003.09.015
33. K. P. Travis, B. D. Todd, and D. J. Evans, Phys. Rev. E PLEEE8 1063-651X 55, 4288 (1997). 10.1103/PhysRevE.55.4288
34. J. Casas-Vázquez and D. Jou, Rep. Prog. Phys. RPPHAG 0034-4885 66, 1937 (2003). 10.1088/0034-4885/66/11/R03 (Pubitemid 37491998)
35. D. J. Evans, W. G. Hoover, B. H. Failor, B. Moran, and A. J. C. Ladd, Phys. Rev. A PLRAAN 1050-2947 28, 1016 (1983). 10.1103/PhysRevA.28.1016
36. W. G. Hoover, Phys. Rev. A PLRAAN 1050-2947 31, 1695 (1985). 10.1103/PhysRevA.31.1695
37. P. J. Daivis, K. P. Travis, and B. D. Todd, J. Chem. Phys. JCPSA6 0021-9606 104, 9651 (1996). 10.1063/1.471718
38. B. D. Todd and D. J. Evans, Phys. Rev. E PLEEE8 1063-651X 55, 2800 (1997). 10.1103/PhysRevE.55.2800
39. B. D. Todd, D. J. Evans, and P. J. Daivis, Phys. Rev. E PLEEE8 1063-651X 52, 1627 (1995). 10.1103/PhysRevE.52.1627
40. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. RMPHAT 0034-6861 57, 617 (1985). 10.1103/RevModPhys.57.617
41. G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, Meccanica MECCB9 0025-6455 15, 9 (1980). 10.1007/BF02128236
42. G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, Meccanica MECCB9 0025-6455 15, 21 (1980). 10.1007/BF02128237
43. I. Shimada and T. Nagashima, Prog. Theor. Phys. PTPKAV 0033-068X 61, 1605 (1979). 10.1143/PTP.61.1605
44. W. G. Hoover and H. A. Posch, Phys. Lett. A PYLAAG 0375-9601 113, 82 (1985). 10.1016/0375-9601(85)90659-0
45. I. Goldhirsch, P. L. Sulem, and S. A. Orszag, Physica D PDNPDT 0167-2789 27, 311 (1987). 10.1016/0167-2789(87)90034-0
46. T. Taniguchi and G. P. Morriss, Phys. Rev. E PLEEE8 1063-651X 68, 046203 (2003). 10.1103/PhysRevE.68.046203
47. K. S. Mriziq, M. D. Dadmun, and H. D. Cochran, Rheol. Acta RHEAAK 0035-4511 46, 839 (2007). 10.1007/s00397-006-0160-9
48. R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids (Wiley, New York, 1987).
49. P. J. Daivis, M. L. Matin, and B. D. Todd, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 111, 1 (2003). 10.1016/S0377-0257(03)00011-9 (Pubitemid 36405715)
50. D. J. Evans, D. J. Searles, W. G. Hoover, C. G. Hoover, B. L. Holian, H. A. Posch, and G. P. Morriss, J. Chem. Phys. JCPSA6 0021-9606 108, 4351 (1998). 10.1063/1.475843
51. J. L. Kaplan and J. A. Yorke, Chaotic Behaviour of Multidimensional Difference Equation (Springer, Berlin, 1979).
52. F. Müller-Plathe, Phys. Rev. E PLEEE8 1063-651X 59, 4894 (1999). 10.1103/PhysRevE.59.4894
53. P. Bordat and F. Müller-Plathe, J. Chem. Phys. JCPSA6 0021-9606 116, 3362 (2002).10.1063/1.1436124 (Pubitemid 34221297)