Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-11-03
Prog. Theor. Phys. Supplement 184 276 (2010)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1143/PTPS.184.276
For diffusive systems that can be described by fluctuating hydrodynamics and by the Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display universal features when the system is closed and in equilibrium. When the system is taken out of equilibrium by a boundary-drive, current fluctuations, at least for a particular family of diffusive systems, display the same universal features as in equilibrium. To achieve this result, we exploit a mapping between the fluctuations in a boundary-driven nonequilibrium system and those in its equilibrium counterpart. Finally, we prove, for two well-studied processes, namely the Simple Symmetric Exclusion Process and the Kipnis-Marchioro-Presutti model for heat conduction, that the distribution of the current out of equilibrium can be deduced from the distribution in equilibrium. Thus, for these two microscopic models, the mapping between the out-of-equilibrium setting and the equilibrium one is exact.
Imparato Alberto
Lecomte Vivien
Wijland Frédéric Van
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