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 - Atomic, Molecular, and Optical Physics
Volume38
Issue number8
DOIs
Publication statusPublished - 1988
Externally publishedYes

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  • Atomic and Molecular Physics, and Optics

Cite this

First-passage times for nonlinear evolution in the presence of dichotomous noise. / Tsironis, George P.; Van Den Broeck, Christian.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 38, No. 8, 1988, p. 4362-4364.

Research output: Contribution to journalArticle

Tsironis, George P. ; Van Den Broeck, Christian. / First-passage times for nonlinear evolution in the presence of dichotomous noise. In: Physical Review A - Atomic, Molecular, and Optical Physics. 1988 ; Vol. 38, No. 8. pp. 4362-4364.
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