Far-from-equilibrium distribution from near-steady-state work fluctuations
Author(s)Marsland, Robert Alvin; England, Jeremy L.
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A long-standing goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium steady-state distribution in terms of perturbations around thermal equilibrium, we start from the linearized driven dynamics of observables about their stable fixed point, and expand in the strength of the nonlinearities encountered during typical fluctuations away from the fixed point. The first terms in this expansion retain the simplicity of known expansions about equilibrium, but can correctly describe the statistics of a certain class of systems even under strong driving. We illustrate this approach by comparison with a numerical simulation of a sheared Brownian colloid, where we find that the first two terms in our expansion are sufficient to account for the shear thinning behavior at high shear rates.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review E
American Physical Society
Marsland, Robert, and Jeremy England. “Far-from-Equilibrium Distribution from Near-Steady-State Work Fluctuations.” Phys. Rev. E 92, no. 5 (November 2015). © 2015 American Physical Society
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