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

Journal Article · Sat Oct 15 00:00:00 EDT 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.38.4362· OSTI ID:6904940

Tsironis, G P; Van den Broeck, C

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.

• Research Organization: Institute for Nonlinear Science and Department of Chemistry, B-040, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 6904940
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 38:8; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTRIBUTION FUNCTIONS
ELECTRICAL EQUIPMENT
EQUIPMENT
FUNCTIONS
MECHANICS
MOTION
NOISE
PARTICLES
RANDOMNESS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
SWITCHES
TIME DEPENDENCE