Free cooling of a gas of inelastically colliding hard spheres represents a central paradigm of kinetic theory of granular gases. At zero gravity the temperature of a freely cooling homogeneous granular gas follows a power law in time. How does gravity, which brings inhomogeneity, affect the cooling? We combine molecular dynamics simulations, a numerical solution of hydrodynamic equations and an...

Kinetic theory is the simplest approach that describes the dynamics of enormous numbers of particles. Often it is the only one where we can make progress in actually calculating numbers such as viscosity or electrical conductivity! It describes nearly ideal gases: usually the interactions are only taken into account in the collisions (to be defined below) that lead to the approach to equilibriu...

In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for non-equilibrium matter and closely related to the divergences in the kinetic theory of gases. We suggest a scheme of renormalization of such divergences and illustrate it on some examples. In the other papers of these series we develop the general theory of renor...

In a recently developed simple particle mechanics model in which a single particle represents the working fluid (gas) in a heat engine (exemplified by a piston engine) a new approach was outlined for the teaching of concepts to thermodynamic students. By mechanics reasoning a model was developed that demonstrates the connection between the Carnot efficiency limitation of heat engines and the Ke...

We investigate mass transfer during the isothermal absorption of atmospheric trace soluble gases by a single droplet whose size is comparable to the molecular mean free path in air at normal conditions. It is assumed that the trace reactant diffuses to the droplet surface and then reacts with the substances inside the droplet according to the first-order rate law. Our analysis applies a flux-ma...

The physical adsorption of hydrogen sulfide and carbon dioxide gases on the zigzag (5,0) carbon nanotubes doped with nitrogen was investigated through the application of B3LYP/6-31G* at the level of theory on Gaussian 03 software. A variety of stable and high abundance structures of nitrogen doped carbon nanotubes were considered in order to study the interaction between the mentioned gases in ...

The system of gas-dynamic equations, corresponding to the first order of approximation in the successive approximations method of solution of kinetic Boltzmann equation for multi-component mixture of gases, is derived. Interpretation of turbulent flows of gases is proposed within frames of multi-component gas dynamics, as stratified on components flows of gases. PACS numbers: 02.30.Mv, 05.20.Dd...

The present paper completes an earlier result by S. Ukai, T. Yang, and S.-H. Yu [Commun. Math. Phys. 236 (2003), 373−393] on weakly nonlinear half-space problems for the steady Boltzmann equation with hard-sphere potential. 1. Statement of the Problem & Main Result Boundary layers are an important class of flows in the kinetic theory of gases. One of the most significant problems in this contex...