Dispersion of the Prehistory Distribution: Analog Experiments and Numerical Results

M. Arrayás; J. M. Casado; J. Gómez Ordóñez; P. V. E. McClintock; M. Morillo; N. D. Stein

doi:10.1103/PhysRevLett.80.2273

Dispersion of the Prehistory Distribution: Analog Experiments and Numerical Results

M. Arrayás, J. M. Casado, J. Gómez Ordóñez, P. V. E. McClintock, M. Morillo, and N. D. Stein

Phys. Rev. Lett. 80, 2273 – Published 16 March 1998

Abstract

The dispersion parameter of the prehistory distribution for a potential system driven by white noise is analyzed theoretically and by means of analog and digital experiments. Nonmonotonic evolution of the dispersion with time is shown to arise provided that the potential fulfills a certain condition. It does not necessitate the existence of an unstable point, but can occur in single-minimum potentials, both symmetric and asymmetric.

Received 11 November 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.2273

Authors & Affiliations

M. Arrayás¹, J. M. Casado², J. Gómez Ordóñez², P. V. E. McClintock¹, M. Morillo², and N. D. Stein¹

¹Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom
²Universidad de Sevilla, Física Teórica, Apartado Correos 1065, Sevilla 41080, Spain