Abstract
We consider lattice gas diffusive dynamics with creation-annihilation in the bulk and maintained out of equilibrium by two reservoirs at the boundaries. This stochastic particle system can be viewed as a toy model for granular gases where the energy is injected at the boundary and dissipated in the bulk. The large deviation functional for the particle currents flowing through the system is computed and some physical consequences are discussed: the mechanism for local current fluctuations, dynamical phase transitions, the fluctuation-relation.
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We are grateful to B. Derrida and J. Lebowitz for very useful discussions. TB acknowledges the support of the French Ministry of Education through the ANR BLAN07-2184264 grant. This work was partially supported by the NSF Grant DMR-044-2066 and AFOSR Grant AF-FA9550-04 during a stay at Rutgers University and by the Florence Gould Foundation Endowment during a stay at the Institute for Advanced Study.
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Bodineau, T., Lagouge, M. Current Large Deviations in a Driven Dissipative Model. J Stat Phys 139, 201–218 (2010). https://doi.org/10.1007/s10955-010-9934-7
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DOI: https://doi.org/10.1007/s10955-010-9934-7