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math-ph2020★ 2 cited
On a thermostated Kac model with rescaling
Roberto Cortez, Hagop Tossounian
We introduce a global thermostat on Kac's 1D model for the velocities of particles in a space-homogeneous gas subjected to binary collisions, also interacting with a (local) Maxwel…
math.PR2020★ 8 cited
Uniform propagation of chaos for the thermostated Kac model
Roberto Cortez, Hagop Tossounian
We consider Kac's 1D N-particle system coupled to an ideal thermostat at temperature T, introduced by Bonetto, Loss, and Vaidyanathan in 2014. We obtain a propagation of chaos resu…