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

George P. Tsironis, Christian Van Den Broeck

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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 languageEnglish
Pages (from-to)4362-4364
Number of pages3
JournalPhysical Review A
Volume38
Issue number8
DOIs
Publication statusPublished - Jan 1 1988

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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