×
Taniguchi, Tooru; Cohen, E. G. D.

Inertial effects in nonequilibrium work fluctuations by a path integral approach. (English) Zbl 1134.82015

J. Stat. Phys. 130, No. 1, 1-26 (2008).
Summary: 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.

Cited in 7 Documents

MSC:

82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
60J65 Brownian motion

Keywords:

inertial effects; critical mass; nonequilibrium work fluctuations and theorem; path integration; laboratory and comoving frames
Cite Review PDF
Full Text: DOI arXiv

References:

[1] Evans, D.J., Cohen, E.G.D., Morriss, G.P.: Phys. Rev. Lett. 71, 2401 (1993); [errata] 71, 3616 (1993) · Zbl 0966.82507 · doi:10.1103/PhysRevLett.71.2401
[2] Evans, D.J., Searles, D.J.: Phys. Rev. E 50, 1645 (1994) · doi:10.1103/PhysRevE.50.1645
[3] Gallavotti, G., Cohen, E.G.D.: Phys. Rev. Lett. 74, 2694 (1995) · doi:10.1103/PhysRevLett.74.2694
[4] Gallavotti, G., Cohen, E.G.D.: J. Stat. Phys. 80, 931 (1995) · Zbl 1081.82580 · doi:10.1007/BF02179860
[5] Kurchan, J.: J. Phys. A: Math. Gen. 31, 3719 (1998) · Zbl 0910.60095 · doi:10.1088/0305-4470/31/16/003
[6] Lebowitz, J.L., Spohn, H.: J. Stat. Phys. 95, 333 (1999) · Zbl 0934.60090 · doi:10.1023/A:1004589714161
[7] Taniguchi, T., Cohen, E.G.D.: J. Stat. Phys. 126, 1 (2007) · Zbl 1196.82104 · doi:10.1007/s10955-006-9252-2
[8] Ciliberto, S., Laroche, C.: J. Phys. IV France 8, 215 (1998) · doi:10.1051/jp4:1998629
[9] Wang, G.M., Sevick, E.M., Mittag, E., Searles, D.J., Evans, D.J.: Phys. Rev. Lett. 89, 050601 (2002) · doi:10.1103/PhysRevLett.89.050601
[10] Shang, X.-D., Tong, P., Xia, K.-Q.: Phys. Rev. E 72, 015301R (2005) · doi:10.1103/PhysRevE.72.015301
[11] Schuler, S., Speck, T., Tietz, C., Wrachtrup, J., Seifert, U.: Phys. Rev. Lett. 94, 180602 (2005) · doi:10.1103/PhysRevLett.94.180602
[12] Gallavotti, G.: Phys. Rev. Lett. 77, 4334 (1996) · Zbl 1063.82533 · doi:10.1103/PhysRevLett.77.4334
[13] Gallavotti, G., Ruelle, D.: Commun. Math. Phys. 190, 279 (1997) · Zbl 0909.60091 · doi:10.1007/s002200050241
[14] Onsager, L., Machlup, S.: Phys. Rev. 91, 1505 (1953) · Zbl 0053.15106 · doi:10.1103/PhysRev.91.1505
[15] Machlup, S., Onsager, L.: Phys. Rev. 91, 1512 (1953) · Zbl 0053.15107 · doi:10.1103/PhysRev.91.1512
[16] Cohen, E.G.D., Gallavotti, G.: J. Stat. Phys. 96, 1343 (1999) · Zbl 0938.82032 · doi:10.1023/A:1004604804070
[17] Zamponi, F., Bonetto, F., Cugliandolo, L.F., Kurchan, J.: J. Stat. Mech. P09013 (2005)
[18] Douarche, F., Joubaud, S., Garnier, N.B., Petrosyan, A., Ciliberto, S.: Phys. Rev. Lett. 97, 140603 (2006) · doi:10.1103/PhysRevLett.97.140603
[19] Joubaud, S., Garnier, N.B., Ciliberto, S.: cond-mat/0703798 (2007)
[20] Risken, H.: The Fokker–Planck Equation: Methods of Solution and Applications. Springer, Berlin (1989) · Zbl 0665.60084
[21] Landau, L.D., Lifshitz, E.M.: Mechanics. Pergamon Press, Oxford (1960). Translated from the Russian by J.B. Sykes and J.S. Bell · Zbl 0122.45002
[22] van Zon, R., Cohen, E.G.D.: Phys. Rev. Lett. 91, 110601 (2003) · doi:10.1103/PhysRevLett.91.110601
[23] van Zon, R., Cohen, E.G.D.: Phys. Rev. E 69, 056121 (2004) · doi:10.1103/PhysRevE.69.056121
[24] van Zon, R., Cohen, E.G.D.: Phys. Rev. E 67, 046102 (2003) · doi:10.1103/PhysRevE.67.046102
[25] van Zon, R., Ciliberto, S., Cohen, E.G.D.: Phys. Rev. Lett. 92, 130601 (2004) · doi:10.1103/PhysRevLett.92.130601
[26] Bonetto, F., Gallavotti, G., Giuliani, A., Zamponi, F.: J. Stat. Phys. 123, 39 (2006) · Zbl 1092.82024 · doi:10.1007/s10955-006-9047-5
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.