Phase Transitions and Critical Phenomena
- Cyril Domb, Bar-Illan University, Ramat-Gan, Israel
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.View full description
Researchers and graduate students in statistical physics and general condensed matter physicists.
- Published: September 2000
- Imprint: ACADEMIC PRESS
- ISBN: 978-0-12-220319-0
Table of ContentsVOLUME 19 TABLE OF CONTENTS:General PrefacePreface to Volume 19Chapter 1: Exactly solvable models for many-body systems far from equilibriumGunter M. SchÃ¼tzIntroductionQuantum Hamiltonian formalism for the master equationIntegrable stochastic processesAsymptotic behaviourEquivalences of stochastic processesThe symmetric exclusion processDriven lattice gasesReaction-diffusion processesFree-fermion systemsExperimental realizations of integrable reaction-diffusion systemsAcknowledgementsA. The two-dimensional vertex modelUniversality of interface fluctuationsExact solution for empty-interval probabilities in the ASEP with open boundariesFrequently-used notationChapter 2: Polymerized membranes, a reviewKay JÃ¶rg WieseIntroduction and outlineBasic properties of membranesField theoretic treatment of tethered membranesSome useful tools and relation to polymer theoryProof of perturbative renormalizabilityCalculations at 2-loop orderExtracting the physical information: ExtrapolationsOther critical exponentsThe tricritical pointVariantsDynamicsDisorder and non-conserved forcesN-colored membranesLarge ordersConclusionsAppendicesExercises with solutionsReferences