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Logarithmic susceptibility and optimal control of large fluctuations

M. I. Dykman·H. Rabitz·V. N. Smelyanskiy·B. E. Vugmeister
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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.

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M. I. Dykman, H. Rabitz, V. N. Smelyanskiy, B. E. Vugmeister. 1997-04-04. Logarithmic susceptibility and optimal control of large fluctuations. https://arxiv.org/abs/cond-mat/9704036

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