# Thermodynamics as a nonequilibrium path integral - Condensed Matter > Statistical Mechanics

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Abstract: Thermodynamics is a well developed tool to study systems in equilibrium butno such general framework is available for non-equilibrium processes. Only hopefor a quantitative description is to fall back upon the equilibrium language asoften done in biology. This gap is bridged by the work theorem. By using thistheorem we show that the Barkhausen-type non-equilibrium noise in a process,repeated many times, can be combined to construct a special matrix ${\cal S}$whose principal eigenvector provides the equilibrium distribution. For aninteracting system ${\cal S}$, and hence the equilibrium distribution, can beobtained from the free case without any requirement of equilibrium.

Autor: Poulomi Sadhukhan, Somendra M. Bhattacharjee

Fuente: https://arxiv.org/