Intrawell Relaxation Time: The Limit of the Adiabatic Approximation
- 29 March 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (13) , 2623-2627
- https://doi.org/10.1103/physrevlett.82.2623
Abstract
We consider the overdamped motion of a Brownian particle in a potential well and examine the relaxation of its probability distribution. We give a new definition, based on the mean first passage time, for the intrawell relaxation time, which characterizes the relaxation process in the entire well and can be expressed analytically for an arbitrary potential. Further, we show how it can be approximated by other simple quantities in most cases. If the characteristic time scale of some modulation of the potential is much longer than this intrawell relaxation time, the particle's probability distribution can be considered to be adiabatically adjusted to the potential at every instant.Keywords
This publication has 11 references indexed in Scilit:
- What is adiabaticity? suggestions from a fluctuating linear potentialPhysics Letters A, 1998
- Transient solution of the Kramers problem in the weak noise limitPhysical Review E, 1997
- Modeling molecular motorsReviews of Modern Physics, 1997
- Thermodynamics and Kinetics of a Brownian MotorScience, 1997
- Effect of a uniform bias force on the Brownian movement in double-well potentialsPhysical Review E, 1997
- The Fokker-Planck EquationPublished by Springer Nature ,1996
- Rates of Activated Processes with Fluctuating BarriersPhysical Review Letters, 1994
- Matching a diffusive and a kinetic approach for escape over a fluctuating barrierPhysical Review Letters, 1993
- Resonant activation over a fluctuating barrierPhysical Review Letters, 1992
- Mean first-passage times of Brownian motion and related problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952