2017
DOI: 10.1360/n012017-00178
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Non-equilibrium stochastic dynamics

Abstract: In this paper, we mainly review the basic concepts in statistical mechanics of stochastic processes, including entropy production, flux, potential, equilibrium state, temperature in stochastic processes and their mathematical definitions. Moreover, we review some basic properties of the processes derived from these concepts, including fluctuation theorems, Green-Kubo formula, and the monotonicity of power spectrum density. Especially, we point out that we can introduce the temperature parameter in a Markov pro… Show more

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“…They mathematically proved their asymptotic behaviors in systems such as Einstein‐Green Kubo’s relation [10], fluctuation and dissipation theory, and spectrum of Markov chains [10]. They also investigated the nonequilibrium theory of Markov processes [3,11]. In the 1990s, jointly with Dayue Chen and Jianfeng Feng, she investigated the hierarchical structure of metastability (attractors) using large deviation theory for Markov processes and stochastic Ising models [12,13].…”
Section: Minping’s Contributions To Researchmentioning
confidence: 99%
“…They mathematically proved their asymptotic behaviors in systems such as Einstein‐Green Kubo’s relation [10], fluctuation and dissipation theory, and spectrum of Markov chains [10]. They also investigated the nonequilibrium theory of Markov processes [3,11]. In the 1990s, jointly with Dayue Chen and Jianfeng Feng, she investigated the hierarchical structure of metastability (attractors) using large deviation theory for Markov processes and stochastic Ising models [12,13].…”
Section: Minping’s Contributions To Researchmentioning
confidence: 99%