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arXiv · 1301.1806

Multiple dynamic transitions in nonequilibrium work fluctuations

Jae Dong Noh·Chulan Kwon·Hyunggyu Park
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Abstract

The time-dependent work probability distribution function $P(W)$ is investigated analytically for a diffusing particle trapped by an anisotropic harmonic potential and driven by a nonconservative drift force in two dimensions. We find that the exponential tail shape of $P(W)$ characterizing rare-event probabilities undergoes a sequence of dynamic transitions in time. These remarkable locking-unlocking type transitions result from an intricate interplay between a rotational mode induced by the nonconservative force and an anisotropic decaying mode due to the conservative attractive force. We expect that most of high-dimensional dynamical systems should exhibit similar multiple dynamic transitions.

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Jae Dong Noh, Chulan Kwon, Hyunggyu Park. 2013-01-09. Multiple dynamic transitions in nonequilibrium work fluctuations. https://doi.org/10.1103/physrevlett.111.130601

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