Distribution of work in isothermal nonequilibrium processes

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

Volumn 70, Issue 6 2, 2004, Pages

  Speck, Thomas ^a   Seifert, Udo ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DIFFUSION IN SOLIDS; EIGENVALUES AND EIGENFUNCTIONS; FREE ENERGY; ISOTHERMS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; TEMPERATURE DISTRIBUTION;

CONSTANT TEMPERATURE; CONTROL PARAMETERS; GAUSSIAN DISTRIBUTION; NONEQUILIBRIUM PROCESSES;

THERMODYNAMICS;

EID: 37649026741     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066112     Document Type: Article

References (28)

1. G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
2. D. M. Carberry, J. C. Reid, G. M. Wang, E. M. Sevick, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 92, 140601 (2004).
3. J. Liphardt, S. Dumont, S. B. Smith, I. Tinoco, Jr., and C. Bustamente, Science 296, 1832 (2002).
4. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997).
5. C. Jarzynski, Phys. Rev. E 56, 5018 (1997).
6. G. E. Crooks, Phys. Rev. E 61, 2361 (2000).
7. G. Hummer and A. Szabo, Proc. Natl. Acad. Sci. U.S.A. 98, 3658 (2001).
8. S. Park and K. Schulten, J. Chem. Phys. 120, 5946 (2004).
9. F. Ritort, C. Bustamente, and I. Tinoco, Jr., Proc. Natl. Acad. Sci. U.S.A. USA 99, 13 544 (2002).
10. S. Park, F. Khalili-Araghi, E. Tajkhorshid, and K. Schulten, J. Chem. Phys. 119, 3559 (2003).
11. O. Braun, A. Hanke, and U. Seifert, Phys. Rev. Lett. 93, 158105 (2004).
12. J. Gore, F. Ritort, and C. Bustamente, Proc. Natl. Acad. Sci. U.S.A. USA 100, 12 564 (2003).
13. D. M. Zuckerman and T. B. Woolf, Phys. Rev. Lett. 89, 180602 (2002).
14. M. R. Shirts, E. Bair, G. Hooker, and V. S. Pande, Phys. Rev. Lett. 91, 140601 (2003).
15. O. Mazonka and C. Jarzynski, cond-mat/9912121.
16. G. Hummer, J. Chem. Phys. 114, 7330 (2001).
17. J. Hermans, J. Phys. Chem. 95, 9029 (1991).
18. R. H. Wood, W. C. F. Mühlbauer, and P. T. Thompson, J. Phys. Chem. 95, 6670 (1991).
19. S. R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
20. D. A. Hendrix and C. Jarzynski, J. Chem. Phys. 114, 5974 (2001).
21. C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1985), 2nd ed.
22. K. Sekimoto, Prog. Theor. Phys. Suppl. 130, 17 (1998).
23. N. G. van Kampen, Phys. Rep. 124, 69 (1985).
24. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, New York, 1990).
25. Depending on whether processes at fixed volume or fixed pressure are considered, ΔF is either the Helmholtz or the Gibbs free energy difference.
26. For brevity we choose constant mobility coefficients. Otherwise the Fokker-Planck operator Eq. (7) would contain spurious drift terms which would, however, not affect our main result.
27. λ can be obtained if the distribution of the dissipated work, P(W-ΔF), is considered.
28. In quantum mechanics, exponentially small terms as in Eq. (35) occur for transition probabilities of time-dependent two-state systems, see, e.g., M. V. Berry, Proc. R. Soc. London, Ser. A 429, 61 (1990).