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Absorbing phase transitions

Author: Malte Henkel; Haye Hinrichsen; Sven Lübeck
Publisher: Dordrecht : Springer, 2008.
Edition/Format:   Book : EnglishView all editions and formats

This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation  Read more...


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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Malte Henkel; Haye Hinrichsen; Sven Lübeck
ISBN: 9781402087646 1402087640 9781402087653 1402087659
OCLC Number: 612165422
Description: XI, 385 S.
Contents: 1 Introduction. Problems. 2 Survey of Equilibrium Critical Phenomena 2.1 Phase Transitions in Equilibrium Systems 2.2 Scale Invariance and Universality 2.3 Mean-field and Renormalisation Group Methods 2.4 Fluctuation-dissipation Theorem 2.5 From Scale-invariance to Conformal Invariance. Problems. 3 Directed percolation 3.1 Directed Percolation at First Glance 3.2 Directed Percolation as a Stochastic Process 3.3 Lattice Models of Directed Percolation 3.4 Experiments related to Directed Percolation. Problems. 4 Scaling Properties of Absorbing Phase Transitions 4.1 Scaling in the Steady State 4.2 Dynamical Scaling Behaviour 4.3 Methods of Analysis 4.4 Other Critical Properties. Problems. 5 Universality classes different from directed percolation 5.1 Parity-Conserving Universality Class 5.2 Voter Universality Class 5.3 Compact Directed Percolation 5.4 Tricritical Directed Percolation 5.5 Dynamical Percolation 5.6 Long-range Interactions 5.7 Manna Universality Class 5.8 Pair Contact Process with Diffusion 5.9 First-order Phase Transitions 5.10 Crossover Phenomena 5.11 Quenched Disorder. Problems. Appendices: A Equilibrium Models A.1 Potts model A.2 Clock model A.3 Turban model A.4 Baxter-Wu model A.5 Blume-Capel model A.6 XY model A.7 O(n) model A.8 Double exchange model A.9 Frustrated spin models A.10 Hilhorst-van Leeuven model B Scaling Laws C Diagonalisation of Time-Evolution Operators D Langevin Equations and Path Integrals E Mean-Field Approximations E.1 Simple mean-field/site approximation E.2 Pair-approximation E.3 The 'hop-away' mean-field approximation F On Finite-Size Scaling Techniques F.1 Sequences of finite-size estimates F.2 Sequence extrapolation G Numerical Methods G.1 Simulational techniques G.2 Computation of response functions. Solutions. Frequently Used Symbols. Abbreviations. References. Index.
Responsibility: Malte Henkel ; Haye Hinrichsen ; Sven Lübeck.
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From the reviews: "The monograph concentrates on nonequilibrium phase transitions from fluctuating (ordered) states into so-called absorbing states, which can never be left by the system once Read more...

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