Fluctuations and Large Deviations in Non-equilibrium Systems

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Abstract

For systems in contact with two reservoirs at different densities, the large deviation function of the density gives a possible way of extending the notion of free energy to non-equilibrium systems. This large deviation function of the density can be calculated explicitly for exclusion models in one dimension with open boundary conditions. For the simple exclusion process as well as for other diffusive systems, one can also obtain the distribution of the current of particles flowing through the system and the results lead to a simple conjecture for the large deviation function of the current of more general diffusive systems.