Henkel, Malte.
Non-Equilibrium Phase Transitions Volume 2: Ageing and Dynamical Scaling Far from Equilibrium / [electronic resource] : 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
10.1007/978-90-481-2869-3 doi
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 / [electronic resource] : 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
10.1007/978-90-481-2869-3 doi
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