Abstract
Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the laboratory and comoving frames and prove the asymptotic fluctuation theorem for these works for any initial condition. Important and observable differences between the work fluctuations in the two frames appear for finite times and are discussed concretely for a nonequilibrium steady state initial condition. We also show that for finite times a time oscillatory behavior appears in the work distribution function for masses larger than a nonzero critical value.
Similar content being viewed by others
References
Evans, D.J., Cohen, E.G.D., Morriss, G.P.: Phys. Rev. Lett. 71, 2401 (1993); [errata] 71, 3616 (1993)
Evans, D.J., Searles, D.J.: Phys. Rev. E 50, 1645 (1994)
Gallavotti, G., Cohen, E.G.D.: Phys. Rev. Lett. 74, 2694 (1995)
Gallavotti, G., Cohen, E.G.D.: J. Stat. Phys. 80, 931 (1995)
Kurchan, J.: J. Phys. A: Math. Gen. 31, 3719 (1998)
Lebowitz, J.L., Spohn, H.: J. Stat. Phys. 95, 333 (1999)
Taniguchi, T., Cohen, E.G.D.: J. Stat. Phys. 126, 1 (2007)
Ciliberto, S., Laroche, C.: J. Phys. IV France 8, 215 (1998)
Wang, G.M., Sevick, E.M., Mittag, E., Searles, D.J., Evans, D.J.: Phys. Rev. Lett. 89, 050601 (2002)
Shang, X.-D., Tong, P., Xia, K.-Q.: Phys. Rev. E 72, 015301R (2005)
Schuler, S., Speck, T., Tietz, C., Wrachtrup, J., Seifert, U.: Phys. Rev. Lett. 94, 180602 (2005)
Gallavotti, G.: Phys. Rev. Lett. 77, 4334 (1996)
Gallavotti, G., Ruelle, D.: Commun. Math. Phys. 190, 279 (1997)
Onsager, L., Machlup, S.: Phys. Rev. 91, 1505 (1953)
Machlup, S., Onsager, L.: Phys. Rev. 91, 1512 (1953)
Cohen, E.G.D., Gallavotti, G.: J. Stat. Phys. 96, 1343 (1999)
Zamponi, F., Bonetto, F., Cugliandolo, L.F., Kurchan, J.: J. Stat. Mech. P09013 (2005)
Douarche, F., Joubaud, S., Garnier, N.B., Petrosyan, A., Ciliberto, S.: Phys. Rev. Lett. 97, 140603 (2006)
Joubaud, S., Garnier, N.B., Ciliberto, S.: cond-mat/0703798 (2007)
Risken, H.: The Fokker–Planck Equation: Methods of Solution and Applications. Springer, Berlin (1989)
Landau, L.D., Lifshitz, E.M.: Mechanics. Pergamon Press, Oxford (1960). Translated from the Russian by J.B. Sykes and J.S. Bell
van Zon, R., Cohen, E.G.D.: Phys. Rev. Lett. 91, 110601 (2003)
van Zon, R., Cohen, E.G.D.: Phys. Rev. E 69, 056121 (2004)
van Zon, R., Cohen, E.G.D.: Phys. Rev. E 67, 046102 (2003)
van Zon, R., Ciliberto, S., Cohen, E.G.D.: Phys. Rev. Lett. 92, 130601 (2004)
Bonetto, F., Gallavotti, G., Giuliani, A., Zamponi, F.: J. Stat. Phys. 123, 39 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Taniguchi, T., Cohen, E.G.D. Inertial Effects in Nonequilibrium Work Fluctuations by a Path Integral Approach. J Stat Phys 130, 1–26 (2008). https://doi.org/10.1007/s10955-007-9398-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10955-007-9398-6