Abstract
We have constructed an electronic simulator of a simple bistable system driven by noise, whose intensity is determined by the instantaneous value of the coordinate. We observe that the most probable state of the system can be reversed by altering the noise intensity only in the neighborhood of the barrier, an effect pointed out by Landauer many years ago in the context of discussions on entropy-related stability criteria for nonequilibrium systems. We compare detailed measurements on the system with the recent white noise calculations of Landauer and van Kampen. The system also has interesting possibilities for tests of contemporary colored noise theory which we illustrate with an example.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Landauer,Phys. Rev. A 12:636 (1975); in theMaximum Entropy Formalism, R. D. Levine and M. Tribus, eds. (MIT Press, Cambridge, Massachusetts, 1978), p. 321.
W. Horsthemke and R. Lefever,Phys. Lett. 64A:19 (1977);Noise Induced Transitions (Springer-Verlag, Berlin, 1984).
B. J. West and K. Lindenberg, inStudies in Statistical Mechanics, Vol. XIII, J. L. Lebowitz, ed. (North-Holland, Amsterdam, 1987), Chapter 2.
N. G. van Kampen,Z. Phys. B 68:135 (1987).
M. Buttiker,Z. Phys. B 68:161 (1987).
N. G. van Kampen,IBM J. Res. Dev. 32 (1988).
R. Landauer,J. Stat. Phys., to be published.
R. Fox,Phys. Rev. A 37:911 (1988).
P. Hanggi, T. J. Mrockowski, F. Moss, and P. V. E. McClintock,Phys. Rev. A 32:695 (1985).
F. Moss and P. V. E. McClintock,Noise in Nonlinear Dynamical Systems, Vol. I (Cambridge University Press, Cambridge, 1988).
P. Jung and P. Hanggi,Phys. Rev. A 35:4464 (1987), and preprint; F. Marchesoni,Phys. Rev. A 36:4050 (1987); Th. Leiber, F. Marchesoni, and H. Risken,Phys. Rev. Lett. 59:1381 (1987); J. Masoliver, K. Lindenberg, and B. J. West,Phys. Rev. A 35:3086 (1987); C. R. Doering, P. S. Hagan, and C. D. Levermore,Phys. Rev. Lett. 59:2129 (1987); M. M. Dygas, B. J. Matkowsky, and Z. Schuss,SIAM J. Appl. Math., in press and to be published; S. Faetti and P. Grigolini,Phys. Rev. A 36:441 (1987); L. Schimansky-Geier,Phys. Lett. A 126:455 (1988); V. Altares and G. Nicolis,J. Stat. Phys. 46:191 (1987) and preprint; J. M. Sancho, preprint.
F. Moss and P. V. E. McClintock,Z. Phys. B 61:381 (1985).
R. F. Fox,Phys. Rev. A 33:467 (1986);34:4525 (1986).
J. M. Sancho, M. San Miguel, S. L. Katz, and J. D. Gunton,Phys. Rev. A 26:1589 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sinha, K., Moss, F. Analog simulation of a simple system with state-dependent diffusion. J Stat Phys 54, 1411–1423 (1989). https://doi.org/10.1007/BF01044724
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01044724