Scaling limits of interacting particle systems
By: Claude Kipnis, Claudio Landim.
Contributors: Landim, Claudio, 1965-
Series: Grundlehren der mathematischen Wissenschaften ;; 320
Publisher: Springer
Published: 1999
Place of publication: New York
Language: eng
Number of pages: 442
Subjects: Scaling laws (Statistical physics); Probabilities; Markov processes; Hydrodynamics -- Mathematics; Mathematical physics
Description: "This book presents in a progressive way the techniques used in the proof of the hydrodynamic behavior of interacting particle systems. It starts with introductory material on independent particles and goes all the way to nongradient systems, covering the entropy and the relative entropy methods, asymmetric processes from which hyperbolic equations emerge, the equilibrium fluctuations and the large deviations theory for short-range stochastic dynamics. It reviews, in appendices, some tools of Markov process theory and derives estimates on the spectral gap of reversible, conservative generators. The book is self-contained and can be read by graduate students in mathematics or mathematical physics with standard probability background. It can be used as a support for a graduate on stochastic processes." --FROM THE PUBLISHER.
Notes: Includes bibliographical references and index.