Non-Equilibrium Phase Transitions
Henkel, Malte.
Non-Equilibrium Phase Transitions Volume 2: Ageing and Dynamical Scaling Far from Equilibrium / [recurso electrónico] : by Malte Henkel, Michel Pleimling. - XXI, 544 p. online resource. - Theoretical and Mathematical Physics, 1864-5879 . - Theoretical and Mathematical Physics, .
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.
9789048128693
Physics.
Distribution (Probability theory).
Physics.
Theoretical, Mathematical and Computational Physics.
Condensed Matter Physics.
Statistical Physics, Dynamical Systems and Complexity.
Probability Theory and Stochastic Processes.
Numerical and Computational Physics.
QC19.2-20.85
530.1
Non-Equilibrium Phase Transitions Volume 2: Ageing and Dynamical Scaling Far from Equilibrium / [recurso electrónico] : by Malte Henkel, Michel Pleimling. - XXI, 544 p. online resource. - Theoretical and Mathematical Physics, 1864-5879 . - Theoretical and Mathematical Physics, .
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.
9789048128693
Physics.
Distribution (Probability theory).
Physics.
Theoretical, Mathematical and Computational Physics.
Condensed Matter Physics.
Statistical Physics, Dynamical Systems and Complexity.
Probability Theory and Stochastic Processes.
Numerical and Computational Physics.
QC19.2-20.85
530.1
