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Phase Transitions and Critical Phenomena : Volume 18 - Cyril Domb

Phase Transitions and Critical Phenomena

Volume 18

By: Cyril Domb (Editor), Joel Lewis Lebowitz (Editor)

Hardcover Published: 10th October 2000
ISBN: 9780122203183
Number Of Pages: 320

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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.

General Preface
Preface to Volume 19
Exactly solvable models for many-body systems far from equilibrium Gunter
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
Acknowledgements 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
Polymerized membranes, a review Kay
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
Variants Dynamics Disorder and non-conserved forces N-colored membranes
Large orders
Conclusions
Appendices
Exercises with solutions
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780122203183
ISBN-10: 0122203186
Series: Phase Transitions and Critical Phenomena : Book 18
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 320
Published: 10th October 2000
Publisher: ACADEMIC PR INC
Country of Publication: US
Dimensions (cm): 23.65 x 15.75  x 2.49
Weight (kg): 0.59

Earn 467 Qantas Points
on this Book