The purpose of this thesis is to make an examination of the Maxwell-Boltzmann transport equation and then to suggest methods of deriving the collision terms by fundamental methods. This approach differs from the usual approach in that, classically, the source terms of the Boltzmann equation are obtained by heuristic methods; whereas, herein the collision source terms are induced by curvature of phase space. The most important curvature example of this paper shows that the subspace of free particle motion in an assumedly flat phase space is necessarily curved.Physics, Department o
A numerical method for solving a one-dimensional linear Boltzmann equation is developed using cubic ...
The Fokker-Planck equation describing a beam of charged particles entering a homogeneous medium is s...
Abstract. With the motivation of studying the diffusive propagation of massive particles in crystals...
International audienceWe propose a new model of 2D free particle diffusion on a possibly curved surf...
We build a statistical description of fermions, taking into account the spin degree of freedom in ad...
To calculate the baryon asymmetry in the baryogenesis via leptogenesis scenario one usually uses Bol...
International audienceThis work is devoted to the analysis of the linear Boltzmann equation in a bou...
Abstract. This work is devoted to the analysis of the linear Boltzmann equation in a bounded domain,...
Using simple kinematical arguments, we derive the Fokker-Planck equation for diffusion processes in ...
An attempt is made to discover the physical content of the general-relativistic theory of gases. Und...
Based on the recently found closed-form expressions of the Boltzmann collision integrals in a rigid-...
We study the real time formalism of non-equilibrium many-body theory, in a first quantised language....
Based on the recently found closed-form expressions of the Boltzmann collision integrals in a rigid-...
A new form of the collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is propo...
In this article we present an alternative formulation of the spatially homogeneous Boltzmann equatio...
A numerical method for solving a one-dimensional linear Boltzmann equation is developed using cubic ...
The Fokker-Planck equation describing a beam of charged particles entering a homogeneous medium is s...
Abstract. With the motivation of studying the diffusive propagation of massive particles in crystals...
International audienceWe propose a new model of 2D free particle diffusion on a possibly curved surf...
We build a statistical description of fermions, taking into account the spin degree of freedom in ad...
To calculate the baryon asymmetry in the baryogenesis via leptogenesis scenario one usually uses Bol...
International audienceThis work is devoted to the analysis of the linear Boltzmann equation in a bou...
Abstract. This work is devoted to the analysis of the linear Boltzmann equation in a bounded domain,...
Using simple kinematical arguments, we derive the Fokker-Planck equation for diffusion processes in ...
An attempt is made to discover the physical content of the general-relativistic theory of gases. Und...
Based on the recently found closed-form expressions of the Boltzmann collision integrals in a rigid-...
We study the real time formalism of non-equilibrium many-body theory, in a first quantised language....
Based on the recently found closed-form expressions of the Boltzmann collision integrals in a rigid-...
A new form of the collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is propo...
In this article we present an alternative formulation of the spatially homogeneous Boltzmann equatio...
A numerical method for solving a one-dimensional linear Boltzmann equation is developed using cubic ...
The Fokker-Planck equation describing a beam of charged particles entering a homogeneous medium is s...
Abstract. With the motivation of studying the diffusive propagation of massive particles in crystals...