Spatial fluctuation theorem

Abstract

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current values in different spatial directions. The result is a consequence of spatial symmetries of the microscopic dynamics, generalizing in this way the Gallavotti-Cohen fluctuation theorem related to the time-reversal symmetry. This new perspective opens up the possibility of direct experimental measurements of fluctuation relations of vectorial observables.

10 pages, 1 figure

References in corpus (7)

• The large deviation approach to statistical mechanics
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuation theorems for stochastic dynamics
• Fluctuation Relations for Diffusion Processes
• Symmetries in Fluctuations Far from Equilibrium
• Anisotropic Isometric Fluctuation Relations in experiment and theory on a self-propelled rod
• Isometric fluctuation relations for equilibrium states with broken symmetry

Cited by in corpus (12)

• Exact symmetries in the velocity fluctuations of a hot Brownian swimmer
• Order and symmetry-breaking in the fluctuations of driven systems
• Sampling rare events across dynamical phase transitions
• Weak additivity principle for current statistics in d-dimensions
• Coupled activity-current fluctuations in open quantum systems under strong symmetries
• The kinetic exclusion process: a tale of two fields
• Isometric Uncertainty Relations
• Symmetry-induced fluctuation relations for dynamical observables irrespective of their behaviour under time-reversal
• Local structure of current fluctuations in diffusive systems beyond one dimension
• Infinite family of universal profiles for heat current statistics in Fourier's law
• Fluctuation Relations associated to an arbitrary bijection in path space
• Structure of the optimal path to a fluctuation