Duality and hidden equilibrium in transport models
Rouven Frassek, Cristian Giardina, Jorge Kurchan
Abstract
A large family of diffusive models of transport that have been considered in the past years admit a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent of dimension or topology. It provides a good opportunity to discuss questions of time reversal in out of equilibrium contexts. In particular, thanks to the mapping one may define the free energy in the non-equilibrium states very naturally as the (usual) free energy of the mapped system.
Topics & Concepts
Dimension (graph theory)Duality (order theory)Statistical physicsMathematicsEnergy (signal processing)Mathematical economicsTransformation (genetics)Stability (learning theory)PhysicsGeneral equilibrium theoryComputer scienceThermodynamic equilibriumTheoretical physicsTerm (time)Economic equilibriumMeasure (data warehouse)Path (computing)Dynamical systems theoryStochastic processes and statistical mechanicsAdvanced Thermodynamics and Statistical MechanicsGeometric Analysis and Curvature Flows