Kinetic Theory of Inhomogeneous Systems

Kinetic Theory of Dynamical Systems

It is generally believed that the dynamics of simple fluids can be considered to be chaotic, at least to the extent that they can be mod-eled as classical systems of particles interacting with short range, repulsive forces. Here we give a brief introduction to those parts of chaos theory that are relevant for understanding some features of non-equilibrium processes in fluids. We introduce the n...

Evolution Systems in Kinetic Theory

In this article we cast the unique solvability of a class of nonautonomous kinetic equations in terms of evolution systems, generalizing semigroup results pertaining to the corresponding autonomous kinetic equations. AMS Subject Classification: 47N55, 82C70

Kinetic fluctuation in the inhomogeneous plasma

Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space nonlocal fluctuations in the collisional plasma is constructed. In local equilibrium a generalized version of the CallenWelton theorem is derived. It is shown that not only the dissipation but also the time and space derivatives of the dispersion determine the amplitude and the width of the spectrum...

Ensemble Density Functional Theory for Inhomogeneous Fractional Quantum Hall Systems

A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit

The Doi kinetic theory for homogeneous flows of rodlike liquid crystalline polymers (LCPs) is extended to inhomogeneous flows through introducing a nonlocal intermolecular potential. An extra term in the form of an elastic body force comes out as a result of this extension. Systematic asympototic analysis in the small Deborah number limit is carried out, and the classical EricksenLeslie equatio...