First-passage times for nonlinear evolution in the presence of dichotomous noise

George P. Tsironis; Christian Van Den Broeck

doi:10.1103/PhysRevA.38.4362

First-passage times for nonlinear evolution in the presence of dichotomous noise

George P. Tsironis, Christian Van Den Broeck

Department of Physics

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5 Citations (Scopus)

Abstract

The time evolution of a particle that switches randomly between two deterministic states, one stationary and the other one mobile, is studied. The methods of J. C. Giddings and H. Eyring [J. Phys. Chem. 59, 416 (1955); J. C. Giddings, J. Chem. Phys. 26, 169 (1957)] and that of G. H. Weiss, J. Masoliver, K. Lindenberg, and B. J. West [Phys. Rev. A 36, 1435 (1987)] are extended to treat arbitrary evolution laws in the mobile phase and shown to lead to identical results. Several applications of interest are presented.

Original language	English
Pages (from-to)	4362-4364
Number of pages	3
Journal	Physical Review A
Volume	38
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevA.38.4362
Publication status	Published - Jan 1 1988

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ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Cite this

Tsironis, G. P., & Van Den Broeck, C. (1988). First-passage times for nonlinear evolution in the presence of dichotomous noise. Physical Review A, 38(8), 4362-4364. https://doi.org/10.1103/PhysRevA.38.4362

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Access to Document

10.1103/PhysRevA.38.4362