Hydrodynamic Limits and Related Topics ( Fields Institute Communications )

Publication series :Fields Institute Communications

Author: Shui Feng;Anna T. Lawniczak;S. R. S. Varadhan  

Publisher: American Mathematical Society‎

Publication year: 2000

E-ISBN: 9781470430511

P-ISBN(Hardback):  9780821819937

Subject: O414.2 statistical physics

Keyword: 暂无分类

Language: ENG

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Hydrodynamic Limits and Related Topics

Description

This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.

Chapter

Title page

Contents

Preface

Part 1

Lectures on hydrodynamic scaling

Part 2

On a 1-d granular media immersed in a fluid

A class of cellular automata equivalent to deterministic particle systems

Recent results on the Ginzburg-Landau ∇𝜑 interface model

Large scale behavior of a system of interacting diffusions

Stellar dynamics and plasma physics with corrected potentials: Vlasov, Manev, Boltzmann, Smoluchowski

Free boundary problem and hydrodynamic limit

A variational coupling for a totally asymmetric exclusion process with long jumps but no passing

Quantum mechanics, linear Boltzmann equation and renormalization

Back Cover

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