Relaxation Dynamics of Meso-Reservoirs

TL;DR

This paper investigates the dynamic behavior of meso-reservoirs with maximum-entropy states, analyzing their evolution and comparing bosonic and fermionic systems, including transient Bose-Einstein condensate formation.

Contribution

It introduces a model for meso-reservoirs with evolving thermodynamic parameters and compares energy-matter transport in bosonic and fermionic reservoirs.

Findings

Transient Bose-Einstein condensate formation observed in bosonic reservoirs.

Different transport behaviors depending on energy and matter coupling.

Evolution equations derived for thermodynamic parameters over time.

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.