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Macroscopic fluctuation theory

Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio, and Claudio Landim

Lorenzo Bertini and Alberto De Sole

  • Dipartimento di Matematica, Università di Roma La Sapienza P.le A. Moro 2, 00185 Roma, Italy

Davide Gabrielli

  • DISIM, Università dell’Aquila 67100 Coppito, L’Aquila, Italy

Giovanni Jona-Lasinio

  • Dipartimento di Fisica and INFN, Università di Roma La Sapienza P.le A. Moro 2, 00185 Roma, Italy

Claudio Landim

  • IMPA, Estrada Dona Castorina 110, J. Botanico, 22460 Rio de Janeiro, Brazil
  • and CNRS UPRES–A 6085, Université de Rouen, 76128 Mont–Saint–Aignan Cedex, France

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Rev. Mod. Phys. 87, 593 – Published 24 June, 2015

DOI: https://doi.org/10.1103/RevModPhys.87.593

Abstract

Stationary nonequilibrium states describe steady flows through macroscopic systems. Although they represent the simplest generalization of equilibrium states, they exhibit a variety of new phenomena. Within a statistical mechanics approach, these states have been the subject of several theoretical investigations, both analytic and numerical. The macroscopic fluctuation theory, based on a formula for the probability of joint space-time fluctuations of thermodynamic variables and currents, provides a unified macroscopic treatment of such states for driven diffusive systems. A detailed review of this theory including its main predictions and most relevant applications is given.

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Rev. Mod. Phys. 87, 593– Published 24 June, 2015
  • Received 25 April 2014

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