Stochastic Echo Phenomena in Nonequilibrium Systems
arXiv:1212.2706 · doi:10.3938/jkps.64.504
Abstract
A thermodynamic system is driven into a nonequilibrium condition when a time-dependent force or a nonconservative force represented by a protocol is applied. Such a system is time irreversible in the sense that the motion under a protocol and the time-reversed motion under are not equally probable. We investigate a stochastic echo phenomenon in which a system is controlled by an optimal protocol to display the time-reversed motion. The optimal protocol is derived for a Langevin system. For the time-dependent driving case, simple harmonic oscillator systems are found to display the perfect stochastic echo phenomenon. We also show that any system driven by a time-independent nonconservative force has a dual system displaying the perfect stochastic echo phenomenon. Our study provides a novel perspective on the time-irreversibility of nonequilibrium systems.
5 pages, 1 figure, revised version
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