Einstein relation and hydrodynamics of nonequilibrium mass transport processes

Abstract

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their nonequilibrium steady states, having nontrivial correlations, are not known. In these processes, we analytically calculate two transport coefficients, the bulk-diffusion coefficient and the conductivity. We, remarkably, find that the two transport coefficients obey an equilibriumlike Einstein relation, although the microscopic dynamics does not satisfy detailed balance condition. Using macroscopic fluctuation theory, we also show that probability of density fluctuations obtained from the hydrodynamic description is in complete agreement with the same derived earlier in [Phys. Rev. E 93, 062135 (2016)] using an additivity property.

11 pages

References in corpus (5)

• Macroscopic fluctuation theory
• The Einstein relation generalized to non-equilibrium
• Additivity property and emergence of power laws in nonequilibrium steady states
• Spatial correlations, additivity and fluctuations in conserved-mass transport processes
• Systematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under non-equilibrium condition

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• Fluctuating Hydrodynamics Describes Transport in Cellular Aggregates
• Generic power laws in higher-dimensional lattice models with multidirectional hopping
• Density-dependent transport coefficients in two-dimensional cellular aggregates