Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states

By Christian Maes, Karel Netovcn'y. 2007

179 citations recorded by the source corpus.

We give the explicit structure of the functional governing the dynamical density and current fluctuations for a mesoscopic system in a nonequilibrium steady state. Its canonical form determines a generalised Onsager-Machlup theory. We assume that the system is described as a Markov jump process satisfying a local detailed balance condition such as typical for stochastic lattice gases and for chemical networks. We identify the entropy current and the traffic between the mesoscopic states as extra terms in the fluctuation functional with respect to the equilibrium dynamics. The density and current fluctuations are coupled in general, except close to equilibrium where their decoupling explains the validity of entropy production principles.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/02a57a5ab719f7bdc4eedc9480e2170b85ca8b61

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In Control and Systems Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Network resilience (2020, background): “Committed agents can also be defined in the voter model [504].”
Stochastic thermodynamics: From principles to the cost of precision (2017, unknown): “Using this auxiliary set of rates, the ratio of probabilities of observing the fluctuation {τi}, {ni j} in the original network and in the one with the auxiliary set of rates follows from the path integral expression (30) as [27] p({τi}, {ni j}, t|{ki j}, i0) p{τi}, {ni j}, t|{k̂i j}, i0) = exp ”
Frenesy: Time-symmetric dynamical activity in nonequilibria (2019, background): “Such a structure of joint density-current fluctuations away from equilibrium was developed in [60–64] to which we refer for more discussion.”
Binary Opinion Dynamics with Stubborn Agents (2013, methodology): “The seminal work by Bass [1969] provides a tractable mathematical framework for the analysis of such diffusion processes in 1This particular idea was .rst proposed by [Mobilia 2003; Mobilia et al. 2007]. the absence of underlying network interactions.”
The structure and dynamics of multilayer networks (2014, background): “However, once higher-dimension networks are considered it becomes rather difficult to inspire the consensus in the whole system, but the ‘‘zealot’’ just induces a partial bias in the local neighborhood [302,318,319].”
Nonequilibrium Markov Processes Conditioned on Large Deviations (2014, background): “This level has been studied formally in [90,95,96], and rigorously for jump processes with finite space in [100] and countable space in [101].”