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math-ph2023
Spectral analysis and phase transitions for long-range interactions in harmonic chains of oscillators
Simon Becker, Angeliki Menegaki, Jiming Yu
We consider chains of harmonic oscillators in two dimensions coupled to two Langevin heat reservoirs at different temperatures - a classical model for heat conduction introduce…
math.AP2023
Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus
Josephine Evans, Angeliki Menegaki
We study the non-linear BGK model in 1d coupled to a spatially varying thermostat. We show existence, local uniqueness and linear stability of a steady state when the linear coupli…