Abstract
Recent work is reviewed investigating the possibility to describe non-thermo-dynamical systems in terms of an entropy-like potential. First a general introduction is presented formulating, for the non-specialized reader, the main general auestions which have been investigated and the answers which have so far been obtained. In a second somewhat more technical section the essential points are presented for a particular dynamical system where a limit cycle appears via a discontinuous transition with hysteresis and bistability.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H. Haken, “Laser Theory”, Encyclopedia of Physics vol. XXV/2c, ed. S. Flügge, (Springer, Berlin 1970)
R. Graham, in “Coherence and Quantum Optics” ed. L. Mandel and E. Wolf (Plenum, New York 1973)
R. Kubo, K. Matsuo, K. Kitahara, J. Stat. Phys. 9,51 (1973)
K. Tomita, H. Tomita, Progr. Theor. Phys. 51,1731 (1974)
R. Graham, A.Schenzle, Phys. Rev. A23,1302 (1981);
R. Graham Z. Physik B52,61 (1982)
R. Graham, T. Tel, Phys. Rev. Lett. 52,9 (1984);
R. Graham, T. Tel J. Stat. Phys. 35,729 (1984)
R. Graham, T. Tel (Addendum J. Stat. Phys. 37,709 (1984)
R. Graham, T. Tel, Phys. Rev. A31,1109 (1984)
R. Graham, T. Tel, Phys. Rev. A, to appear
M.I. Freidlin, A.D. Ventsel, “Random Perturbations of Dynamical Systems” (Springer, New York (1984))
V.P. Maslov, M.V. Fedoriuk, “Semiclassical Approximation in Quantum Mechanics”, (Reidel, Dordrecht 1981)
H. Risken, “The Fokker Planck equation” (Springer, New York 1984)
E. Ben-Jacob, D.J. Bergman, B.J. Matkowsky, Z. Schuss, Phys. Rev. A26,2805 (1982)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Graham, R. (1985). Entropy-Like Potentials in Non-Equilibrium Systems with Coexisting Attractors. In: Haken, H. (eds) Complex Systems — Operational Approaches in Neurobiology, Physics, and Computers. Springer Series in Synergetics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70795-7_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-70795-7_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-70797-1
Online ISBN: 978-3-642-70795-7
eBook Packages: Springer Book Archive