On Three Levels

On Three Levels

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This volume contains the proceedings of a five-day NATO Advanced Research Workshop qOn Three Levels, the mathematical physics of micro-, meso-, and macro phenomena, q conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.Micro-, Meso-, and Macro-Approaches in Physics Mark Fannes, Christan Maes, Andre Verbeure. Equation (conta#39;d) Yang-Baxter, 250 Young, 306 Equilibrium extremal state, 177 local, 44a€“46, 304, 318a€“319, 445a€“449 quantum, ... 45, 49 Landau-Zener, 145a€“146, 149a€“153 Levy-Kintchin, 111 Fortuin-Kasteleyn representation, 86 Fouriera#39;s law, 11 Fractal, 286, 403 ... 271 Levy-Khinchin formula, 111 Lifshitz equation, 305-306 Limit law, 73 Limit Boltzmann-Grad, 5 central, 176, 456 diffusive, anbsp;...

Title:On Three Levels
Author: Mark Fannes, Christan Maes, Andre Verbeure
Publisher:Springer Science & Business Media - 2012-12-06

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