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math-ph2020
The optimal spectral gap for regular and disordered harmonic networks of oscillators
Simon Becker, Angeliki Menegaki
We consider one-dimensional chains and multi-dimensional networks of harmonic oscillators coupled to two Langevin heat reservoirs at different temperatures. Each particle interacts…
math.AP2020★ 3 cited
Existence of a Non-Equilibrium Steady State for the Non-linear BGK equation on an interval
Josephine Evans, Angeliki Menegaki
We show existence of a non-equilibrium steady state for the one-dimensional, non-linear BGK model on an interval with diffusive boundary conditions. These boundary conditions repre…