Macroscopic fluctuation theory

By Lorenzo Bertini, A. Sole, D. Gabrielli, Giovanni Jona-Lasinio, C. Landim. 2014

532 citations recorded by the source corpus.

Stationary non-equilibrium 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. We give a detailed review of this theory including its main predictions and most relevant applications.

Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/49a0a51c8655e8e924825be129e6cecb0e201d76

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. Cesare Nardini
2. M. E. Cates
3. Elsen Tjhung
4. J. Tailleur
5. É. Fodor
6. F. van Wijland
7. D. Bernard
8. B. Doyon

In Statistical and Nonlinear Physics

1. B. Doyon
2. D. Bernard
3. M. E. Cates
4. Christian Maes
5. F. van Wijland
6. J. Tailleur
7. Elsen Tjhung
8. Herbert Spohn

Citations in the corpus

• Frenesy: Time-symmetric dynamical activity in nonequilibria (2019, background): “In a macroscopic dynamical fluctuation theory, [52–54] we examine the probability of empirically possible trajectories.”
• Lecture notes on Generalised Hydrodynamics (2019, background): “It is also at the basis of macroscopic fluctuation theory [23, 24, 25, 26], which establishes a deep connection between the hydrodynamics of diffusive transport, and fluctuations of non-equilibrium currents.”
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter (2016, methodology): “These have recently been used to address the macroscopic behaviour of diffusive systems [35, 65].”
• Conformal field theory out of equilibrium: a review (2016, background): “• The construction of non-equilibrium steady states we have described bares similarities with the recently developed ‘macroscopic fluctuation theory’ (MFT) [19, 21] applicable to a large class of classical out-of-equilibrium systems.”