Methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equations are presented. Featured methods include the Chapman-Enskog expansion, Grad’s moment method, and the author’s order of magnitude method. The resulting macroscopic equations are compared and discussed by means of simple problems, including linear stability, shock wave structures, and Couette flow.

in the present work, the regioselectivity for a series of diels–alder reactions (4 reactions) has beenstudied using hardness, electrophilicity and polarizability of products.furthermore,thermodynamicand kinetic calculations have been done. in all results predicted pararegioisomer is more favorableregioisomerinthese investigated reactions.all calculations have been done at the dft-b3lyp/6-31g(d)...

in this paper, a new model based on kinetic theory of gases and longitude oscillations of metallic nanocluster on single carbon nanotube (cnt) in addition to phononvibrations of cnt on substrate is presented to describe the growth mechanism of ultra-long cnt in chemical vapor deposition (cvd).interaction between cnt and catalyst is investigated by lennard-jones potential. simulations demonstrat...

We present an approach for the description of fluctuations that are due to finite system size induced correlations in the Kuramoto model of coupled oscillators. We construct a hierarchy for the moments of the density of oscillators that is analogous to the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy in the kinetic theory of plasmas and gases. To calculate the lowest order system size effect, ...

Discrete element based simulations of granular ow in a d velocity space are compared with a particle code that solves kinetic granular ow equations in two and three dimensions The binary collisions of the latter are governed by the same forces as for the discrete elements Both methods are applied to a granular shear ow of equally sized discs and spheres The two dimensional implementation of the...

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...

Recently, the phenomenological description of cosmological particle production processes in terms of effective viscous pressures has attracted some attention. Using a simple creation rate model we discuss the question to what extent this approach is compatible with the kinetic theory of a relativistic gas. We find the effective viscous pressure approach to be consistent with this model for homo...

Quantum plasmas have been studied theoretically for more than four decades. Important early applications include the electron gas in metals and the electron-hole plasma in semiconductors and dimensionally reduced nanostructures. Experiments with lasers and ion beams are now making dense quantum plasmas of electrons and (classical) ions accessible in the laboratory giving rise to increased theor...

Thèse présentée en vue de l'obtention du grade académique de Docteur en Sciences Réalisé sous la direction de

Statistical properties of evolving random graphs are analyzed using kinetic theory. Treating the linking process dynamically, structural characteristics of links, paths, cycles, and components are obtained analytically using the rate equation approach. Scaling laws for finite systems are derived using extreme statistics and scaling arguments.