Logarithmic susceptibility and optimal control of large fluctuations
M. I. Dykman, H. Rabitz, V. N. Smelyanskiy, B. E. Vugmeister
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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