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The contributions in this book address both the kinetic approach one using the Boltzmann equation for dissipative gases as well as the less established hydrodynamic description. The last part of the book is devoted to driven granular gases and their analogy with molecular fluids.
Recent developments of discrete methods of fluid dynamics, particularly the two most relevant aspects: the “half” discrete case — discrete Boltzmann equation; and the “totally” discrete one — lattice gas were discussed. Both the conceptual and numerical significance of these discrete models were covered as well as the mathematical problems which arise from them. This Colloquium is the third of a series initiated in Santa Fe (USA 1986) the second having taken place in Torino (Italy 1988).
"Granular Gases" are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively. The dissipation of kinetic energy can lead to effects such as the formation of clusters, anomalous diffusion and characteristic shock waves to name but a few. The book is organized as follows: Part I comprises the rigorous theoretical results for the dilute limit. The detailed properties of binary collisions are described in Part II. Part III contains experimental investigations of granular gases. Large-scale behaviour as found in astrophysical systems is discussed in Part IV. Part V, finally, deals with possible generalizations for dense granular systems.
Recent years have witnessed a resurgence in the kinetic approach to dynamic many-body problems. Modern kinetic theory offers a unifying theoretical framework within which a great variety of seemingly unrelated systems can be explored in a coherent way. Kinetic methods are currently being applied in such areas as the dynamics of colloidal suspensions, granular material flow, electron transport in mesoscopic systems, the calculation of Lyapunov exponents and other properties of classical many-body systems characterised by chaotic behaviour. The present work focuses on Brownian motion, dynamical systems, granular flows, and quantum kinetic theory.
Over the last ten years, elements of the formalism of quantum mechanics have been successfully applied beyond physics in areas such as psychology (especially cognition), economics and finance (especially in the formalization of so-called ‘decision making’), political science, and molecular biology. An important stream of work along these lines, commonly under the heading of quantum-like modeling, has been published in well regarded scientific journals, and major publishers have devoted entire books to the topic. This Festschrift honors a key figure in this field of research: Andrei Khrennikov, who made momentous contributions to it and to quantum foundations themselves. While honoring th...
Contents:NQR in High Tc-Superconductors (M E Garcia & K H Bennemann)On the Critical Temperature of Superconductors from Eliashberg Theory (R Combescot)Defects, Oxygen Ordering and Properties of La-Cu-O and Ba-Bi-O Superconductors (B Dabrowski et al)From Schafroth Pairs to Cooper Pairs (C P Enz)Superconductivity with Local Attraction (R Micnas & S Robaszkiewicz)Quasiparticles in Doped Quantum Antiferromagnets (P Prelovsek et al)Cellular Automata (P Grassberger)Lattice Gas Cellular Automata Beyond the Boltzmann Equation (M H Ernst)A Lattice Gas Model for Orientational Ordering in Liquids (D A Huckaby & M Shinmi)Group Theory and Phases of Superfluid 3He (H W Capel)Fluctuation Theory of Invar Systems (D Wagner)and others Readership: Condensed matter physicists.
This book contains the lectures and one seminar given at the seventh International Summer School on Fundamental Problems in Statistical Mechanics. Most of the lectures are on recent developments in statistical mechanics. The following topics are covered: dynamical systems, phase transitions and critical phenomena, polymers and suspensions, spin glasses, kinetic theory of fluids and cellular automata, computer simulations in statistical mechanics.
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The International Conference on the Progress in Statistical Physics was held in commemoration of Professor Choh, who is renowned for his seminal contribution to the kinetic theory of non-dilute fluids, well known as the Choh-Uhlenbeck equation. During the conference, some of the remarkable progress in the field of statistical physics were reviewed and future directions of statistical physics was discussed.