Phase Transitions and Critical Phenomena

Phase Transitions and Critical Phenomena


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Phase Transitions and Critical Phenomena by Cyril M. Domb

The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. No longer an area of specialist interest, it has acquired a central focus in condensed matter studies. The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.
The two review articles in this volume complement each other in a remarkable way. Both deal with what might be called the modern geometric
approach to the properties of macroscopic systems. The first article by Georgii (et al.) describes how recent advances in the application of
geometric ideas leads to a better understanding of pure phases and phase transitions in equilibrium systems. The second article by Alava (et al.)
deals with geometrical aspects of multi-body systems in a hands-on way, going beyond abstract theory to obtain practical answers. The
combination of computers and geometrical ideas described in this volume will doubtless play a major role in the development of statistical
mechanics in the twenty-first century.

Product Details

ISBN-13: 9780122203114
Publisher: Elsevier Science & Technology Books
Publication date: 01/28/1987
Pages: 240
Product dimensions: 6.00(w) x 9.00(h) x (d)

Table of Contents


General Preface
Preface to Volume 19
Chapter 1: Exactly solvable models for many-body systems far from equilibrium
Gunter M. Sch?>Introduction
Quantum Hamiltonian formalism for the master equation
Integrable stochastic processes
Asymptotic behaviour
Equivalences of stochastic processes
The symmetric exclusion process
Driven lattice gases
Reaction-diffusion processes
Free-fermion systems
Experimental realizations of integrable reaction-diffusion systems
A. The two-dimensional vertex model
Universality of interface fluctuations
Exact solution for empty-interval probabilities in the ASEP with open boundaries
Frequently-used notation

Chapter 2: Polymerized membranes, a review
Kay J?Wiese
Introduction and outline
Basic properties of membranes
Field theoretic treatment of tethered membranes
Some useful tools and relation to polymer theory
Proof of perturbative renormalizability
Calculations at 2-loop order
Extracting the physical information: Extrapolations
Other critical exponents
The tricritical point
Disorder and non-conserved forces
N-colored membranes
Large orders
Exercises with solutions

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