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Non-Equilibrium Phase Transitions - Volume 2: Ageing and Dynamical Scaling Far from Equilibrium (Hardcover, 2010 ed.)
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Non-Equilibrium Phase Transitions - Volume 2: Ageing and Dynamical Scaling Far from Equilibrium (Hardcover, 2010 ed.)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
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The complete work consists of a two-volume set, describing two main
classes of non-equilibrium phase-transitions, and surveys two main
aspects of non-equilibrium phase-transitions: (a) transitions in
the steady-state and (b) transitions in the relaxation
behavior.Volume 1, Absorbing Phase Transitions, published in 2008,
covered the statics and dynamics of transitions into an absorbing
state. This volume 2 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. Aimed at
researchers and graduate students in physics, the book is also
suitable supplementary reading for advanced undergraduate students.
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