Fluctuations and Large Deviations in Non-equilibrium Systems

Conference paper

DOI: 10.1007/978-90-481-2810-5_16

Cite this paper as:
Derrida B. (2009) Fluctuations and Large Deviations in Non-equilibrium Systems. In: Sidoravičius V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht

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.

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Laboratoire de Physique StatistiqueEcole Normale SupérieureParis Cedex 05France

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