Phase Transitions and Critical Phenomena

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