Non-Equilibrium Phase Transitions [electronic resource] : Volume 2: Ageing and Dynamical Scaling Far from Equilibrium /
Henkel, Malte.author.
Pleimling, Michel.author.
This book is Volume 2 of a two-volume set describing two main classes of non-equilibrium phase-transitions. This volume covers dynamical scaling in far-from-equilibrium relaxation behaviour and ageing. Motivated initially by experimental results, dynamical scaling has now been recognised as a cornerstone in the modern understanding of far from equilibrium relaxation. Dynamical scaling is systematically introduced, starting from coarsening phenomena, and existing analytical results and numerical estimates of universal non-equilibrium exponents and scaling functions are reviewed in detail. Ageing phenomena in glasses, as well as in simple magnets, are paradigmatic examples of non-equilibrium dynamical scaling, but may also be found in irreversible systems of chemical reactions. Recent theoretical work sought to understand if dynamical scaling may be just a part of a larger symmetry, called local scale-invariance. Initially, this was motivated by certain analogies with the conformal invariance of equilibrium phase transitions; this work has recently reached a degree of completion and the research is presented, systematically and in detail, in book form for the first time. Numerous worked-out exercises are included. Quite similar ideas apply to the phase transitions of equilibrium systems with competing interactions and interesting physical realisations, for example in Lifshitz points.
Description based upon print version of record.
Theoretical and Mathematical Physics; TitlePage; Copyright Page; Preface; Contents; Chapter 1: Ageing Phenomena; Chapter 2: Exactly Solvable Models; Chapter 3: Simple Ageing: an Overview; Chapter 4: Local Scale-invariance I: z = 2; Chapter 5: Local Scale-invariance II: z =/ 2; Chapter 6: Lifshitz Points: Strongly AnisotropicEquilibrium Critical Points; Appendices; Solutions; References; List of Figures; Index
Includes bibliographical references and index.
This book is Volume 2 of a two-volume set describing two main classes of non-equilibrium phase-transitions. This volume covers dynamical scaling in far-from-equilibrium relaxation behaviour and ageing. Motivated initially by experimental results, dynamical scaling has now been recognised as a cornerstone in the modern understanding of far from equilibrium relaxation. Dynamical scaling is systematically introduced, starting from coarsening phenomena, and existing analytical results and numerical estimates of universal non-equilibrium exponents and scaling functions are reviewed in detail. Ageing phenomena in glasses, as well as in simple magnets, are paradigmatic examples of non-equilibrium dynamical scaling, but may also be found in irreversible systems of chemical reactions. Recent theoretical work sought to understand if dynamical scaling may be just a part of a larger symmetry, called local scale-invariance. Initially, this was motivated by certain analogies with the conformal invariance of equilibrium phase transitions; this work has recently reached a degree of completion and the research is presented, systematically and in detail, in book form for the first time. Numerous worked-out exercises are included. Quite similar ideas apply to the phase transitions of equilibrium systems with competing interactions and interesting physical realisations, for example in Lifshitz points.
Mathematical physics.
Condensed matter.
Statistical physics.
Dynamical systems.
Probabilities.
Physics.
Theoretical, Mathematical and Computational Physics.
Condensed Matter Physics.
Complex Systems.
Probability Theory and Stochastic Processes.
Numerical and Computational Physics, Simulation.
Statistical Physics and Dynamical Systems.