We derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described by their microscopic state or by a collective variable which identifies a quasiequilibrium state. We show that the work probability distribution can be represented by a path integral, which is dominated by “classical” paths in the large system size limit. We compare these results with simulated manipulation of mean-field systems. We discuss the range of applicability of the Jarzynski equality for evaluating the system free energy using these out-of-equilibrium manipulations. Large fluctuations in the work and the shape of the work distribution tails are also discussed.

Work-probability distribution in systems driven out of equilibrium / Imparato, A.; Peliti, Luca. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 72:(2005), pp. 046114-1-046114-5. [10.1103/PhysRevE.72.046114]

Work-probability distribution in systems driven out of equilibrium

A. IMPARATO;PELITI, LUCA
2005

Abstract

We derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described by their microscopic state or by a collective variable which identifies a quasiequilibrium state. We show that the work probability distribution can be represented by a path integral, which is dominated by “classical” paths in the large system size limit. We compare these results with simulated manipulation of mean-field systems. We discuss the range of applicability of the Jarzynski equality for evaluating the system free energy using these out-of-equilibrium manipulations. Large fluctuations in the work and the shape of the work distribution tails are also discussed.
2005
Work-probability distribution in systems driven out of equilibrium / Imparato, A.; Peliti, Luca. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 72:(2005), pp. 046114-1-046114-5. [10.1103/PhysRevE.72.046114]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/108654
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