25 Years of Non-Equilibrium Statistical Mechanics pp 125-134 | Cite as
Fluctuations in the steady state
Conference paper
First Online:
Abstract
Fluctuations in the steady state of macroscopic systems can be described by non-equilibrium potentials, whose theory has been developed considerably during the last two decades. In the present lecture we review some recent developments connected with the appearance of plateaus in the non-equilibrium potential in regions of configuration space containing saddles of the deterministic dynamics.
Keywords
Configuration Space Detailed Balance Escape Time Noise Strength Potential Plateau
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.F. Moss and P.V.E. McClintock eds.: Noise in Nonlinear Dynamical Systems. (Cambridge University Press, Cambridge 1989) Vol. 1–3Google Scholar
- 2.M.I. Freidlin and A.D. Wentzell: Random Perturbation of Dynamical Systems. (Springer Verlag, Berlin 1984)Google Scholar
- 3.R. Graham: Noise in Nonlinear Dynamical Systems. (Cambridge University Press, Cambridge 1989 Vol. 1, p. 225Google Scholar
- 4.P. Talkner and P. Hänggi: Noise in Nonlinear Dynamical Systems. (Cambridge University Press, Cambridge 1989) Vol. 2, p. 87Google Scholar
- 5.Hamm, A., Tél, T., and Graham, R.: Phys. Rev. A185 (1994) 313–320Google Scholar
- 6.Graham, R., and Tél, T.: Phys. Rev. A33 (1986) 1322–1337Google Scholar
- 7.Maier, R.S., and Stein, D.L. Phys. Rev. E48 (1993) 931Google Scholar
- 8.Reimann, P., And Talkner, P. Helv. Phys. Acta 63 (1990) 845Google Scholar
- 9.Reimann, P., and Talkner, P. Phys. Rev. A44 (1991) 6348Google Scholar
- 10.Graham, R., and Hamm, A.: in ‘From Phase Transitions to Chaos', G. Györgyi et al eds., (World Scientific, Singapore 1992) p. 449Google Scholar
- 11.Hamm, A., Graham, R.: J. Stat. Phys 66 (1992) 689–725Google Scholar
- 12.Hamm, A.: Thesis (Universität GH Essen, 1993; in German)Google Scholar
- 13.Sommerer, J.C., Ott, E., and Grebogi, C.: Phys. Rev. A43 (1991) 1754Google Scholar
- 14.Sommerer, J.C., Ditto, W.L., Grebogi, C., Ott, E., Spano, M.L.: Phys. Rev. Lett 66 (1991) 1947Google Scholar
- 15.Sommerer, J.C.: Phys. Lett. A176 (1993) 85Google Scholar
- 16.Beale, P.D.: Phys. Rev. A40 (1989) 198Google Scholar
- 17.Arecchi, F.T., Badii, R., and Politi, A.: Phys. Lett. A103 (1984) 3Google Scholar
- 18.Grebogi, C., Ott, E., and Yorke, J.A.: Physica D 7 (1983) 181Google Scholar
- 19.Pomeau, Y., Manneville, P.: Commun Math. Phys 77 (1980) 189; Manneville, P., Pomeau, Y.: Physica D1 (1980) 219Google Scholar
- 20.Eckmann, J.-P., Thomas, L., and Wittwer, P.: J. Phys. A14 (1981) 3153Google Scholar
Copyright information
© Springer-Verlag 1995