Stationary and transient work-fluctuation theorems for a dragged Brownian particle

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 67, Issue 4, 2003, Pages 10-

  van Zon, R ^a   Cohen, E G D ^a  

^a ROCKEFELLER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 81555217921     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.67.046102     Document Type: Article

References (19)

1. D.J. Evans, E.G.D. Cohen, and G.P. Morriss, Phys. Rev. Lett. 71, 2401 (1993).
2. D.J. Evans and D.J. Searles, Phys. Rev. E 50, 1645 (1994).
3. G. Gallavotti and E.G.D. Cohen, Phys. Rev. Lett. 74, 2694 (1995).
4. G. Gallavotti and E.G.D. Cohen, J. Stat. Phys. 80, 931 (1995).
5. D.J. Searles and D.J. Evans, J. Chem. Phys. 113, 3503 (2000).
6. J. Kurchan, J. Phys. A 31, 3719 (1998).
7. J.L. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999).
8. S. Ciliberto and C. Laroche, J. Phys. IV 8, 215 (1998).
9. G.M. Wang, Phys. Rev. Lett. 89, 050601 (2002).
10. E.M. Sevick, D.R.M. Williams, D.J. Searles, and D.J. Evans also developed a Langevin based theory of the TFT experiment 9 (private communication).
11. Physically, it is not immediately clear that Eq. (1) expresses any kind of work, since the force (Formula presented) is exerted on the particle at position (Formula presented) while (Formula presented) refers to the motion of the center of the harmonic potential. However, the force (Formula presented) on the particle implies a reaction force (Formula presented) on the harmonic potential (laser), which must be overcome by an external force (Formula presented) exerted on the laser. Therefore, the force in Eq. (1) is also the external force exerted on the laser and (Formula presented) is indeed the work performed on the system, e.g., by the experimentalist.
12. O. Mazonka and C. Jarzynski, e-print cond-mat/9912121.
13. Mazonka and Jarzynski 12 were aware of the difference between the entropy production and the total work done, although they used a different wording.
14. R. van Zon and E.G.D. Cohen, e-print cond-mat/0210505.
15. G.E. Uhlenbeck and L.S. Ornstein, Phys. Rev. 36, 823 (1930).
16. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, revised and enlarged edition (North-Holland, Amsterdam, 1992).
17. G. Ayton, D.J. Evans, and D.J. Searles, J. Chem. Phys. 115, 2033 (2001).
18. R. van Zon and E.G.D. Cohen (unpublished).
19. E.G.D. Cohen and G. Gallavotti, J. Stat. Phys. 96, 1343 (1999).