Non-Equilibrium Phase Transitions

Volume 2: Ageing and Dynamical Scaling Far from Equilibrium

  • Malte Henkel
  • Michel Pleimling

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Malte Henkel, Michel Pleimling
    Pages 1-94
  3. Malte Henkel, Michel Pleimling
    Pages 95-140
  4. Malte Henkel, Michel Pleimling
    Pages 141-220
  5. Malte Henkel, Michel Pleimling
    Pages 221-290
  6. Malte Henkel, Michel Pleimling
    Pages 291-336
  7. Malte Henkel, Michel Pleimling
    Pages 337-368
  8. Back Matter
    Pages 369-561

About this book


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.


Phase Transition Phase Transitions ageing phenomena book about dynamical scaling far from equilibrium relaxation phenomena local scale invariance non-equilibrium critical dynamics nonequilibrium phase transitions numerical simulation phenomenological scaling theory physical ageing

Authors and affiliations

  • Malte Henkel
    • 1
  • Michel Pleimling
    • 2
  1. 1.Groupe de Physique Statistique Département de Physique de la Matière et des MatériauxInstitut Jean Lamour Nancy - UniversitéVandœuvre lès Nancy CedexFrance
  2. 2.Physics DepartmentVirginia Polytechnic Institute & State UniversityBlacksburgUnited States

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