Logarithmic susceptibility and optimal control of large fluctuations

B.E. Vugmeister (b) ((a) Department of Physics & Astronomy; East Lansing (b) Department of Chemistry; H. Rabitz (b); Michigan State University; M.I. Dykman (a); Princeton University); V.N. Smelyanskiy (a)

arxiv: cond-mat/9704036 · v1 · submitted 1997-04-04 · ❄️ cond-mat.stat-mech

Logarithmic susceptibility and optimal control of large fluctuations

M.I. Dykman (a) , H. Rabitz (b) , V.N. Smelyanskiy (a) , B.E. Vugmeister (b) ((a) Department of Physics & Astronomy , Michigan State University , East Lansing (b) Department of Chemistry , Princeton University) This is my paper

classification ❄️ cond-mat.stat-mech

keywords fieldfluctuationslargesusceptibilityanalyzecontrollogarithmicoptimal

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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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Logarithmic susceptibility and optimal control of large fluctuations

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