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Distributions of First-passage and Thermodynamical Approach in Problems of Phase Sinchronization
並列摘要
The prototype problem of a pendulum connected to a heat bath with strong dissipation is common for many physical applications. The corresponding equations of motion describe the current through the Josephson junction, and phase drift in a synchronizing auto-generator, is related to the problems of ＂stochastic ratchets＂, to the motion of Brownian particles in a nonlinear system with anisotropic spatially periodic potential. The thermodynamic flux in such systems is related to the (random) particle escape time. In the present work the first-passage time distribution and its thermodynamic interpretation has been used to describe these phenomena. In particular, according to the example of auto-generator oscillating system, it is shown that the unperturbed average first-passage time is related to the value of the thermodynamic kinetic coefficient.
延伸閱讀
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