Non-Equilibrium Phase Transitions

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 Persistence2. 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 Models3. 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 Schrödinger Group 4.3 From Schrödinger-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 Correspondence5. 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 Remarks6. 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 ConclusionsAppendices: 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

Malte Henkel, born in 1960, received his Master's degree from the University of Bonn in 1984, and his PhD in 1987, when he also won the annual prize of the Minerva Foundation. From that year onward he has been a long-term visitor in many institutes, including the ITP at Santa Barbara, USA, the SPhT at Saclay, France, and the universities of Oxford, UK, Vienna, Austria, Padova, Italy, and Lisbon, Portugal. In 1995 he was appointed a professor at the University of Nancy I. His current research encompasses equilibrium and non-equilibrium phase transitions, using field-theoretical and numerical methods in general. In particular, his current focus is on dynamical scaling behaviour realised in ageing phenomena far from equilibrium. He has published well over a hundred articles and three monographs, one of which is Volume I of this set.

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)