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Phase Transitions and Critical Phenomena
1st Edition - September 21, 2000
Editor: Cyril Domb
Hardback ISBN:
9 7 8 - 0 - 1 2 - 2 2 0 3 1 9 - 0
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 5 3 8 7 6 - 1
The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. It has moved into a… Read more
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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. It has moved into a central place in condensed matter studies.Statistical physics, and more specifically, the theory of transitions between states of matter, more or less defines what we know about 'everyday' matter and its transformations.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.
Researchers and graduate students in statistical physics and general condensed matter physicists.
VOLUME 19 TABLE OF CONTENTS:
General Preface
Preface to Volume 19
Chapter 1: Exactly solvable models for many-body systems far from equilibrium
Gunter M. Schütz
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
Chapter 2: Polymerized membranes, a review
Kay Jörg 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
Variants
Dynamics
Disorder and non-conserved forces
N-colored membranes
Large orders
Conclusions
Appendices
Exercises with solutions
References
General Preface
Preface to Volume 19
Chapter 1: Exactly solvable models for many-body systems far from equilibrium
Gunter M. Schütz
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
Chapter 2: Polymerized membranes, a review
Kay Jörg 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
Variants
Dynamics
Disorder and non-conserved forces
N-colored membranes
Large orders
Conclusions
Appendices
Exercises with solutions
References
- No. of pages: 498
- Language: English
- Published: September 21, 2000
- Imprint: Academic Press
- Hardback ISBN: 9780122203190
- eBook ISBN: 9780080538761
CD
Cyril Domb
Affiliations and expertise
Bar-Illan University, Ramat-Gan, Israel