Logarithmic susceptibility and optimal control of large fluctuations

Details Logarithmic susceptibility and optimal control of large fluctuations Logarithmic susceptibility and optimal control of large fluctuations

1997-04-04

arxiv.org/abs/cond-mat/9704036v1

Physics

Condensed Matter

Statistical Mechanics

The article contains 4 pages and two figures

Scientific paper

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.

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