On Three Levels: Micro-, Meso-, and Macro-Approaches in Physics

ISBN-13: 9781461360476 / Angielski / Miękka / 2012 / 485 str.

Mark Fannes; Christan Maes; Andre Verbeure

Opis

This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro- phenomena," 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.

Spis treści

Quantum Kinetic Equations; H. Spohn. Microscopic Derivation of Hydrodynamics with Phase Transition in a Plasma Model; G.L. Sewell. Ferromagnetism in Itinerant Electron Systems; H. Tasaki. Homogeneity in the Ground State of the Two-Dimensional Falicov-Kimabll Model; T. Kennedy. Diffusive Limit of the Asymmetric Simple Exclusion; R. Esposito, et al. Weak Coupling Limit; L.J. Landau. Limit Laws for Recurrence Times in Expanding Maps of an Interval; P. Collet. Stochastic Geometric Aspects of Some Quantum Spin Chains; B. Nachtergaele. The Species Totally Asymmetric Simple Exclusion Process; E.R. Speer. How to Reconstruct a Heat Bath; B. Kümmerer. Interacting Particle Systems on Non-Commutative Spaces; T. Matsui. Non-Self-Averaging Effects in Sums of Random Variables, Spin Glasses, Random Maps, and Random Walks; B. Derrida. Quantum Adiabatic Evolution; A. Joye, C.E. Pfister. 48 additional articles. Index.