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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Malte Henkel; Michel Jean François Pleimling |

ISBN: | 9789048128686 9048128684 9789048128693 9048128692 |

OCLC Number: | 657642384 |

Description: | XXI, 544 S. |

Contents: | Volume II: 1. Ageing Phenomena 1.1 Introduction 1.2 Phase-Ordering Kinetics 1.3 Phenomenology of Ageing 1.4 Scaling Behaviour of Intergrated Responses 1.5 Values of Non-Equilibrium Exponents 1.6 Global Persistence 2. Exactly Solvable Models 2.1 One-dimensional Glauber-Ising Model 2.2. A Non-Glauberian Kinetic Ising Model 2.3 The Free Random Walk 2.4 The Spherical Model 2.5 The Long-range Spherical Model 2.6 XY-Model in Spin-wave Approximation 2.7 OJK Approximation 2.8 Further Solvable Models 3. Simple Ageing: an Overview 3.1 Non-equilibrium Critical Dynamics 3.2 Ordered Initial States 3.3 Conserved Order-parameter (Model B) 3.4 Fully Frustrated Systems 3.5 Disordered Systems I: Ferromagnets 3.6 Disordered Systems II: Critical Glassy Systems 3.7 Surface Effects 3.8 Ageing with Absorbing Steady-states I 3.9 Ageing with Absorbing Steady-states II 3.10 Reversible Reaction-diffusion Systems 3.11 Growth processes 4. Local scale invariance I: z = 2 4.1 Introduction 4.2 The Schrodinger Group 4.3 From Schrodinger-invariane to Ageing 4.4 Conformal Invariance and Ageing 4.5 Galilei-invariance 4.6 Calculation of Two-time Response and Correlation Functions 4.7 Tests of Ageing and Conformal-invariance for z = 2 4.8 Nonrelativistic AdS/CFT Correspondence 5. Local scale invariance II: z <> 2 5.1 Axioms of Local Scale-invariance 5.2 Construction of the Infinitesimal Generators 5.3 Generalised Bargman Superselection Rule 5.4 Calculation of Two-time Responses 5.5 Calculation of Two-time Correlations 5.6 Tests of Local Scale-invariance with z <> 2 5.7 Global Time-reparametrisation-invariance 5.8 Concluding Remarks 6. Lifshitz Points 6.1 Phenomenology 6.2 Critical Exponents at Lifshitz Points 6.3 A Different Type of Local Scale-transformation 6.4 Application to Lifshitz Points 6.5 Conclusions 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 Hilhorst-van Leeuven Model A.10 Frustrated Spin Models A.11 Weakly random Spin Systems A.12 Logarithmic Sub-scaling Exponents A.13 Ising Spin Glasses A.14 Gauge Glasses D. Langevin Equations and Path Integrals I. Cluster Algorithms: Competing Interactions J. Fractional Derivatives J.1 Singular Fractional Derivatives J.2 Fractional Laplacians K. Conformally Invarioant Interacting Fields K.1 Conformal Invariance and Coupling Constants K.2 Conformally Conserved Currents L. Lie Groups and Lie Algebras: a Reminder L.1 Finite Groups L.2 Continuous Groups and Lie groups L.3 From Lie groups to Lie Algebras and Back L.4 Matrix Representations and the Cartan-Weyl Basis L.5 Function-space Representations L.6 Central Extensions Solutions. Frequently Used Symbols. Abbreviations. References. List of Tables. List of Figures. Index |

Series Title: | Theoretical and mathematical physics |

Responsibility: | Malte Henkel ; Michel Pleimling. |

More information: |

## Reviews

*Editorial reviews*

Publisher Synopsis

From the reviews: "This book is the second of a two-volume work on non-equilibrium phase transitions ... . a well written and valuable introduction to these problems, for mathematicians as well as for physicists. ... The book finishes with several appendices, where the reader can be reminded of useful physical and mathematical results ... a large section where the almost one hundred problems proposed throughout the book are fully worked out, and a huge and very useful reference list of more than seven hundred fifty items." (Fernando Pestana da Costa, Mathematical Reviews, Issue 2011 j) Read more...

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