Logarithmic susceptibility and optimal control of large fluctuations
Statistical Mechanics
2008-02-03 v1
Abstract
We analyze the probabilities of large infrequent fluctuations in systems driven by external fields. In a broad range of the field magnitudes, the logarithm of the fluctuation probability is linear in the field magnitude, and the response can be characterized by a logarithmic susceptibility. This susceptibility is used to analyze optimal control of large fluctuations. For nonadiabatic driving, the activation energies for nucleation and for escape of a Brownian particle display singular behavior as a function of the field shape.
Keywords
Cite
@article{arxiv.cond-mat/9704036,
title = {Logarithmic susceptibility and optimal control of large fluctuations},
author = {M. I. Dykman and H. Rabitz and V. N. Smelyanskiy and B. E. Vugmeister},
journal= {arXiv preprint arXiv:cond-mat/9704036},
year = {2008}
}
Comments
The article contains 4 pages and two figures