Fields Institute Communications 2000; 141 pp; hardcover Volume: 27 ISBN10: 0821819933 ISBN13: 9780821819937 List Price: US$60 Member Price: US$48 Order Code: FIC/27
 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 minicourse 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. Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Graduate students and research mathematicians interested in interacting particle systems, hydrodynamic limits, and statistical mechanics. Table of Contents Part 1  S. R. S. Varadhan  Lectures on hydrodynamic scaling
Part 2  J. A. Carrillo  On a 1d granular media immersed in a fluid
 H. Fukś  A class of cellular automata equivalent to deterministic particle systems
 T. Funaki  Recent results on the GinzburgLandau \(\nabla\phi\) interface model
 I. Grigorescu  Large scale behavior of a system of interacting diffusions
 R. Illner  Stellar dynamics and plasma physics with corrected potentials: Vlasov, Manev, Boltzmann, Smoluchowski
 J. Quastel  Free boundary problem and hydrodynamic limit
 T. Seppäläinen  A variational coupling for a totally asymmetric exclusion process with long jumps but no passing
 H.T. Yau  Quantum mechanics, linear Boltzmann equation and renormalization
