Relaxation Dynamics of Meso-Reservoirs

Abstract

We study the phenomenology of maximum-entropy meso-reservoirs, where we assume that their local thermal equilibrium state changes consistently with the heat transferred between the meso-reservoirs. Depending on heat and matter carrying capacities, the chemical potentials and temperatures are allowed to vary in time, and using global conservation relations we solve their evolution equations. We compare two-terminal transport between bosonic and fermionic meso-reservoirs via systems that tightly couple energy and matter currents and systems that do not. For bosonic reservoirs we observe the temporary formation of a Bose-Einstein condensate in one of the meso-reservoirs from an initial nonequilibrium setup.

added appendices, to appear in NJP

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• Dynamics of micro and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation
• Effective time-dependent temperature for fermionic master equations beyond the Markov and the secular approximations
• Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
• Feedback-charging a metallic island
• Steady-state heat engines driven by finite reservoirs
• Quantum states from mixtures of equilibrium distributions
• Global-Local Duality of Energetic Control Cost in Multipartite Quantum Correlated Systems
• Quantum transport between finite reservoirs