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math-ph2020★ 3 cited
The BGK equation as the limit of an particle system
Dawan Mustafa, Bernt Wennberg
The spatially homogeneous BGK equation is obtained as the limit if a model of a many particle system, similar to Mark Kac's charicature of the spatially homogeneous Boltzmann equat…
math-ph2015
Chaotic distributions for relativistic particles
Dawan Mustafa, Bernt Wennberg
We study a modified Kac model where the classical kinetic energy is replaced by an arbitrary energy function , . The aim of this paper is to show that the u…
math-ph2013★ 4 cited
Propagation of chaos for the thermostatted Kac master equation
Eric Carlen, Dawan Mustafa, Bernt Wennberg
The Kac model is a simplified model of an -particle system in which the collisions of a real particle system are modeled by random jumps of pairs of particle velocities. Kac pro…