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 - Atomic, Molecular, and Optical Physics |
| Volume | 38 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1988 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- 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 journal › Article
}
TY - JOUR
T1 - First-passage times for nonlinear evolution in the presence of dichotomous noise
AU - Tsironis, George P.
AU - Van Den Broeck, Christian
PY - 1988
Y1 - 1988
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0346128031&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.38.4362
DO - 10.1103/PhysRevA.38.4362
M3 - Article
VL - 38
SP - 4362
EP - 4364
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 8
ER -