9 citations · 28 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Equilibration in the Kac Model using the GTW Metric
Hagop Tossounian
We use the Fourier based Gabetta-Toscani-Wennberg (GTW) metric to study the rate of convergence to equilibrium for the Kac model in dimension. We take the initial velocit…
Uniform Approximation of a Maxwellian Thermostat by Finite Reservoirs
Federico Bonetto, Michael Loss, Hagop Tossounian +1
We study the evolution of a system of M particles in contact with a large reservoir of N>>M particles. The reservoir is initially in equilibrium at temperature T=1/β. The evolution…
Partially Thermostated Kac Model
Hagop Tossounian, Ranjini Vaidyanathan
We study a system of particles interacting through the Kac collision, with of them interacting, in addition, with a Maxwellian thermostat at temperature . We use…