From the discrete

kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium, Mathematical and Computer Modelling 49(3-4): 610-616.

Kinetic Theory (Classical, Quantum, and Relativistic Descriptions).

The topics include multiphase continuum formulation for gas-solids reacting flows,

kinetic theory for granular materials, coupled solvers, quadrature-based moment methods for polydisperse gas-solids flow, circulating fluidized beds, and validation approaches to volcanic explosive phenomenology.

In conjunction with the fluid dynamics review of Chapter 1, Chapter 2 provides necessary background information and illustrations of basic two-phase flow concepts, contrasting the deterministic continuum approach with the probabilistic

kinetic theory approach, in order to prepare for the derivation of the modelling equations, two-phase flow analyses, and real-world applications.

The starting point for understanding the deformation behavior of rubber is the

kinetic theory of rubber elasticity, assuming affine deformation and random walk, phantom chain (Gaussian) statistics.

Paper topics include equilibrium statistical mechanics of quantum lattice systems, the rate of local equilibration in

kinetic theory, bifurcations of relative equilibria in simple mechanical systems, and generating spectral gaps by geometry.

Among the topics are the synthesis of hyperbranched polymers via polymerization of functionally symmetric monomer pairs, self-condensing vinyl polymerization, hyperbranched co-polymers synthesized by co-condensation and radical co-polymerization, hyperbranched and dendritic polyolefins prepared by transition metal catalyzed polymerization, the

kinetic theory of hyperbranched polymerization, and biological and medical applications.

According to the

kinetic theory, rubber's elasticity is derived from the micro-Brownian motion of long chain molecules.

Prompted by a March 2005 conference held in San Diego, this volume explores the

kinetic theory of the propagation of ultra-low frequency (ULF) waves, the interaction of ULF waves with charged particles, the role of the ionosphere in generating ULF waves, and sensing methods.

They address atomic structures, determination of the elementary physical charge, loss of definite and multiple proportions in chemistry, kinetics theories of gases, the kinetics theory as it relates to approaches to chemical thermodynamics, the behavior of gases from hydrodynamic laws to

kinetic theory, the transition from the algorithmic mode to understanding of the behavior of gases, methods for the evaluation of scientific textbooks and the methods of understanding quantum numbers.

They cover the fundamental concepts: heat, work, internal energy, enthalpy, and the First Law of Thermodynamics; thermochemistry; entropy and the Second Law of Thermodynamics; chemical equilibrium; the properties of real gases; phase diagrams and the relative stability of solids, liquids and gases; ideal and real solutions; electrochemical cells, batteries and fuel cells; probability; the Boltzmann distribution; ensemble and molecular partition functions; statistical thermodynamics; the

kinetic theory of gases; transport phenomena; elementary chemical kinetics; and complex reaction mechanisms.

0 sets the standard in certain areas of CFD modeling with capabilities new to the field, including the ability to use granular

kinetic theory for Eulerian simulations on unstructured meshes.