Approach to equilibrium in adiabatically evolving potentials

Details Approach to equilibrium in adiabatically evolving potentials Approach to equilibrium in adiabatically evolving potentials

2004-12-09

arxiv.org/abs/cond-mat/0412215v1

PRE 69,056114(2004)

Physics

Condensed Matter

Statistical Mechanics

This paper contains 5 pages

Scientific paper

10.1103/PhysRevE.69.056114

For a potential function (in one dimension) which evolves from a specified initial form $V_{i}(x)$ to a different $V_{f}(x)$ asymptotically, we study the evolution, in an overdamped dynamics, of an initial probability density to its final equilibeium.There can be unexpected effects that can arise from the time dependence. We choose a time variation of the form $V(x,t)=V_{f}(x)+(V_{i}-V_{f})e^{-\lambda t}$. For a $V_{f}(x)$, which is double welled and a $V_{i}(x)$ which is simple harmonic, we show that, in particular, if the evolution is adiabatic, the results in a decrease in the Kramers time characteristics of $V_{f}(x)$. Thus the time dependence makes diffusion over a barrier more efficient. There can also be interesting resonance effects when $V_{i}(x)$ and $V_{f}(x)$ are two harmonic potentials displaced with respect to each other that arise from the coincidence of the intrinsic time scale characterising the potential variation and the Kramers time.

Affiliated with

Also associated with

No associations

Rating

Approach to equilibrium in adiabatically evolving potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Approach to equilibrium in adiabatically evolving potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approach to equilibrium in adiabatically evolving potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-151824