80 citations · 261 across the 14 of their papers we have counts for
16 papers
The Lorentz Process with a Nearly Periodic Distribution of Scatterers
Bernt Wennberg
We consider the Lorentz gas in a distribution of scatterers which microscopically converges to a periodic distribution, and prove that the Lorentz gas in the low density limit sati…
A Kac Model with Exclusion
Eric Carlen, Bernt Wennberg
We consider a one dimension Kac model with conservation of energy and an exclusion rule: Fix a number of particles , and an energy . Let each of the particles have an energ…
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…
The impact of anticipation in dynamical systems
P. Gerlee, K. Tunstrøm, T. Lundh +1
Collective motion in biology is often modelled as a dynamical system, in which individuals are represented as particles whose interactions are determined by the current state of th…
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…
A Boltzmann model for rod alignment and schooling fish
Eric a. Carlen, Maria C. Carvalho, Pierre Degond +1
We consider a Boltzmann model introduced by Bertin, Droz and Greegoire as a binary interaction model of the Vicsek alignment interaction. This model considers particles lying on th…