Transport in Transition Regimes [Paperback]

This volume focuses on modeling processes for which transport is one of the most complicated components, requiring different transport models in each region. The authors apply questions to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.

IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components. This includes processes that involve a wide range of length scales over different spatio-temporal regions of the problem, ranging from the order of mean-free paths to many times this scale. Consequently, effective modeling techniques require different transport models in each region. The first issue is that of finding efficient simulations techniques, since a fully resolved kinetic simulation is often impractical. One therefore develops homogenization, stochastic, or moment based subgrid models. Another issue is to quantify the discrepancy between macroscopic models and the underlying kinetic description, especially when dispersive effects become macroscopic, for example due to quantum effects in semiconductors and superfluids. These two volumes address these questions in relation to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.BGK-Burnett equations: A new set of second-order hydrodynamic equations for flows in continuum-transition regime.- Steady states for Streaters energy-transport models of self-gravitating particles.- Towards a hybrid Monte Carlo method for rarefied gas dynamics.- Comparison of Monte Carlo and deterministic simulations of a silicon diode.- Discrete-velocity models for numerical simulations in transition al regime for rarefied flows and radiative transfer.- Some recent results on the kinetie theory of phase transitions.- Fluids with multlƒ]