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Stochastic thermodynamics: principles and perspectives

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Abstract

Stochastic thermodynamics provides a framework for describing small systems like colloids or biomolecules driven out of equilibrium but still in contact with a heat bath. Both, a first-law like energy balance involving exchanged heat and entropy production entering refinements of the second law can consistently be defined along single stochastic trajectories. Various exact relations involving the distribution of such quantities like integral and detailed fluctuation theorems for total entropy production and the Jarzynski relation follow from such an approach based on Langevin dynamics. Analogues of these relations can be proven for any system obeying a stochastic master equation like, in particular, (bio)chemically driven enzyms or whole reaction networks. The perspective of investigating such relations for stochastic field equations like the Kardar-Parisi-Zhang equation is sketched as well.

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References

  1. K. Sekimoto, Prog. Theor. Phys. Supp. 130, 17 (1998)

    Article  ADS  Google Scholar 

  2. U. Seifert, Phys. Rev. Lett. 95, 040602 (2005)

    Article  ADS  Google Scholar 

  3. D.J. Evans, E.G.D. Cohen, G.P. Morriss, Phys. Rev. Lett. 71, 2401 (1993)

    Article  MATH  ADS  Google Scholar 

  4. G. Gallavotti, E.G.D. Cohen, Phys. Rev. Lett. 74, 2694 (1995)

    Article  ADS  Google Scholar 

  5. J. Kurchan, J. Phys. A: Math. Gen. 31, 3719 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. J.L. Lebowitz, H. Spohn, J. Stat. Phys. 95, 333 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997)

    Article  ADS  Google Scholar 

  8. C. Jarzynski, Phys. Rev. E 56, 5018 (1997)

    Article  ADS  Google Scholar 

  9. G.E. Crooks, Phys. Rev. E 60, 2721 (1999)

    Article  ADS  Google Scholar 

  10. G.E. Crooks, Phys. Rev. E 61, 2361 (2000)

    Article  ADS  Google Scholar 

  11. D.J. Evans, D.J. Searles, Adv. Phys. 51, 1529 (2002)

    Article  ADS  Google Scholar 

  12. R.D. Astumian, P. Hänggi, Physics Today 55, 33 (2002)

    Article  Google Scholar 

  13. J. Vollmer, Phys. Rep. 372, 131 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. J.M.R. Parrondo, B.J.D. Cisneros, Appl. Phys. A 75, 179 (2002)

    Article  ADS  Google Scholar 

  15. C. Maes, Sém. Poincaré 2, 29 (2003)

    Google Scholar 

  16. D. Andrieux, P. Gaspard, J. Chem. Phys. 121, 6167 (2004)

    Article  ADS  Google Scholar 

  17. C. Bustamante, J. Liphardt, F. Ritort, Physics Today 58, 43 (2005)

    Article  Google Scholar 

  18. D. Reguera, J.M. Rubí, J.M.G. Vilar, J. Phys. Chem. B 109, 21502 (2005)

    Article  Google Scholar 

  19. F. Ritort, J. Phys.: Condens. Matter 18, R531 (2006)

    Article  ADS  Google Scholar 

  20. H. Qian, J. Phys. Chem. B 110, 15063 (2006)

    Article  Google Scholar 

  21. A. Imparato, L. Peliti, C. R. Physique 8, 556 (2007)

    Article  ADS  Google Scholar 

  22. R.J. Harris, G.M. Schütz, J. Stat. Mech.: Theor. Exp. P07020 (2007)

  23. R.K.P. Zia, B. Schmittmann, J. Stat. Mech.: Theor. Exp. P07012 (2007)

  24. R. Kawai, J.M.R. Parrondo, C.V. den Broeck, Phys. Rev. Lett. 98, 080602 (2007)

    Article  ADS  Google Scholar 

  25. L. Rondoni, C. Mejía-Monasterio, Nonlinearity 20, R1 (2007)

    Article  MATH  ADS  Google Scholar 

  26. V. Blickle et al., Phys. Rev. Lett. 96, 070603 (2006)

    Article  ADS  Google Scholar 

  27. T. Speck, U. Seifert, Phys. Rev. E 70, 066112 (2004)

    Article  ADS  Google Scholar 

  28. G.N. Bochkov, Y.E. Kuzovlev, Physica A 106, 443 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  29. G.N. Bochkov, Y.E. Kuzovlev, Physica A 106, 480 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  30. C. Jarzynski, C. R. Physique 8, 495 (2007)

    Article  ADS  Google Scholar 

  31. G. Hummer, A. Szabo, Proc. Natl. Acad. Sci. USA 98, 3658 (2001)

    Article  ADS  Google Scholar 

  32. J. Liphardt et al., Science 296, 1832 (2002)

    Article  ADS  Google Scholar 

  33. T. Schmiedl, T. Speck, U. Seifert, J. Stat. Phys. 128, 77 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  34. T. Speck, V. Blickle, C. Bechinger, U. Seifert, Europhys. Lett. 79, 30002 (2007)

    Article  ADS  Google Scholar 

  35. V. Blickle, T. Speck, U. Seifert, C. Bechinger, Phys. Rev. E 75, 060101 (2007)

    Article  ADS  Google Scholar 

  36. T. Speck, U. Seifert, Europhys. Lett. 74, 391 (2006)

    Article  ADS  Google Scholar 

  37. V. Blickle et al., Phys. Rev. Lett. 98, 210601 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  38. Y. Oono, M. Paniconi, Prog. Theor. Phys. Suppl. 130, 29 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  39. T. Hatano, S. Sasa, Phys. Rev. Lett. 86, 3463 (2001)

    Article  ADS  Google Scholar 

  40. T. Speck, U. Seifert, J. Phys. A: Math. Gen. 38, L581 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  41. E.H. Trepagnier et al., Proc. Natl. Acad. Sci. USA 101, 15038 (2004)

    Article  ADS  Google Scholar 

  42. S. Schuler et al., Phys. Rev. Lett. 94, 180602 (2005)

    Article  ADS  Google Scholar 

  43. C. Tietz et al., Phys. Rev. Lett. 97, 050602 (2006)

    Article  ADS  Google Scholar 

  44. U. Seifert, J. Phys. A: Math. Gen. 37, L517 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  45. U. Seifert, Europhys. Lett. 70, 36 (2005)

    Article  ADS  Google Scholar 

  46. T. Schmiedl, U. Seifert, J. Chem. Phys. 126, 044101 (2007)

    Article  ADS  Google Scholar 

  47. V.Y. Chernyak, M. Chertkov, C. Jarzynski, J. Stat. Mech.: Theor. Exp. P08001 (2006)

  48. M. Kardar, Statistical Physics of Fields (Cambridge University Press, Cambridge, 2007)

    MATH  Google Scholar 

  49. M. Baiesi, C. Maes, Phys. Rev. E 72, 056314 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  50. C.Y. Mou, J. li Luo, G. Nicolis, J. Chem. Phys. 84, 7011 (1986)

    Article  ADS  Google Scholar 

Download references

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  1. II. Institut für Theoretische Physik, Universität Stuttgart, 70550, Stuttgart, Germany

    U. Seifert

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Seifert, U. Stochastic thermodynamics: principles and perspectives. Eur. Phys. J. B 64, 423–431 (2008). https://doi.org/10.1140/epjb/e2008-00001-9

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  • DOI: https://doi.org/10.1140/epjb/e2008-00001-9

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