Viscosity in the escape-rate formalism

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

Volumn 68, Issue 4 1, 2003, Pages 412051-4120510

  Viscardy, S ^a   Gaspard, P ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; ELASTICITY; HAMILTONIANS; HYDRODYNAMICS; LYAPUNOV METHODS; NAVIER STOKES EQUATIONS; PHASE SPACE METHODS; SHEAR STRESS; TRANSPORT PROPERTIES;

ESCAPE-RATE FORMALISM; FRACTAL REPELLERS; SHEAR VISCOSITY;

VISCOSITY;

EID: 0348195561     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. R. Livi, A. Politi, and S. Ruffo, J. Phys. A 19, 2033 (1986).
2. H.A. Posch and W.G. Hoover, Phys. Rev. A 38, 473 (1988).
3. H. van Beijeren, J.R. Dorfman, H.A. Posch, and Ch. Dellago, Phys. Rev. E 56, 5272 (1997).
4. P. Gaspard and H. van Beijeren, J. Stat. Phys. 109, 671 (2002).
5. J.-P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
6. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
7. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990).
8. J.R. Dorfman and P. Gaspard, Phys. Rev. E 51, 28 (1995).
9. P. Gaspard and J.R. Dorfman, Phys. Rev. E 52, 3525 (1995).
10. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
11. J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
12. H. Kantz and P. Grassberger, Physica D 17, 75 (1985).
13. P. Gaspard and F. Baras, Phys. Rev. E 51, 5332 (1995).
14. I. Claus and P. Gaspard, Phys. Rev. E 63, 036227 (2001).
15. I. Claus, P. Gaspard, and H. van Beijeren, e-print nlin.CD/0309051.
16. L.A. Bunimovich and H. Spohn, Commun. Math. Phys. 176, 661 (1996).
17. S. Viscardy and P. Gaspard, Phys. Rev. E 68, 041204 (2003).
18. E. Helfand, Phys. Rev. 119, 1 (1960).
19. L.S. Young, Ergod. Theory Dyn. Syst. 2, 109 (1982).
20. L.A. Bunimovich and Ya.G. Sinai, Commun. Math. Phys. 78, 247, 479 (1980).
21. Ya.G. Sinai, Russ. Math. Surveys 25, 137 (1970).
22. H. van Beijeren, A. Latz, and J.R. Dorfman, Phys. Rev. E 63, 016312 (2001).
23. S.W. McDonald, C. Grebogi, E. Ott, and J.A. Yorke, Physica D 17, 125 (1985).
24. W.G. Hoover, C.G. Hoover, W.J. Evans, B. Moran, J.A. Levatin, and E.A. Craig, in Microscopic Simulations of Complex Flows, edited by M. Mareschal (Plenum, New York, 1990), p. 199, and references therein.