Entropy production in linear Langevin systems

Abstract

We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These include the total rate of change of the entropy, the entropy production rate, the entropy flux rate and the three components of the entropy production. All equations are cast in a way suitable for large-scale analysis of linear Langevin systems. Our results are also applied to different types of electrical circuits, which suitably illustrate the most relevant aspects of the problem.

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• Non-equilibrium quantum chains under multi-site Lindblad baths
• Characterising the nonequilibrium stationary states of Ornstein-Uhlenbeck processes
• Entropy Production in Continuously Measured Gaussian Quantum Systems
• Spin-phase-space-entropy production
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Wigner entropy production and heat transport in linear quantum lattices
• Irreversibility at zero temperature from the perspective of the environemnt
• Assessing the role of initial correlations in the entropy production rate for non-equilibrium harmonic dynamics
• Non-linear Onsager relations for Gaussian quantum maps
• Non normal amplification of stochastic quasi-cycles
• Characterizing irreversibility in open quantum systems
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• Entropy production for complex Langevin equations
• Large Deviations of the Entropy Production Rate for a Class of Gaussian Processes
• Large deviations for quadratic functionals of stable Gauss-Markov chains and entropy production
• Entropy production of active Brownian particles going from liquid to hexatic and solid phases
• Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables
• Periodically Driven Harmonic Langevin Systems
• Irreversibility of mesoscopic processes with hydrodynamic interactions
• Relations between entropy rate, entropy production and information geometry in linear stochastic systems
• Symmetry breaking and entropy production during the evolution of spinor Bose-Einstein condensate driven by coherent atom beam
• Classical dissipative cost of quantum control