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- W2038207639 abstract "We present the theoretical study on nonequilibrium (NEQ) fluctuations for diffusion dynamics in high dimensions driven by a linear drift force. We consider a general situation in which NEQ is caused by two conditions: (i) drift force not derivable from a potential function, and (ii) diffusion matrix not proportional to the unit matrix, implying nonidentical and correlated multidimensional noise. The former is a well-known NEQ source and the latter can be realized in the presence of multiple heat reservoirs or multiple noise sources. We develop a statistical mechanical theory based on generalized thermodynamic quantities such as energy, work, and heat. The NEQ fluctuation theorems are reproduced successfully. We also find the time-dependent probability distribution function exactly as well as the NEQ work production distribution $P(mathcal{W})$ in terms of solutions of nonlinear differential equations. In addition, we compute low-order cumulants of the NEQ work production explicitly. In two dimensions, we carry out numerical simulations to check out our analytic results and also to get $P(mathcal{W})$. We find an interesting dynamic phase transition in the exponential tail shape of $P(mathcal{W})$, associated with a singularity found in solutions of the nonlinear differential equation. Finally, we discuss possible realizations in experiments." @default.
- W2038207639 created "2016-06-24" @default.
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- W2038207639 date "2011-06-24" @default.
- W2038207639 modified "2023-10-11" @default.
- W2038207639 title "Nonequilibrium fluctuations for linear diffusion dynamics" @default.
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- W2038207639 doi "https://doi.org/10.1103/physreve.83.061145" @default.
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