Non-Equilibrium Phase Transitions - Malte Henkel, Haye Hinrichsen, Sven Lübeck

Non-Equilibrium Phase Transitions

Volume 1: Absorbing Phase Transitions
Buch | Softcover
385 Seiten
2014
Springer (Verlag)
978-94-007-9660-7 (ISBN)
160,49 inkl. MwSt
This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.
"The career structure and funding of the universities [...] currently strongly d- courages academics and faculties from putting any investment into teaching - there are no career or ?nancial rewards in it. This is a great pity, because [...] it is the need toengage indialogue,and to makethings logicaland clear,that istheprimary defence against obscurantism and abstraction. " B. Ward-Perkins, The fall of Rome, Oxford (2005) This is the ?rst volume of a planned two-volume treatise on non-equilibrium phase transitions. While such a topic might sound rather special and a- demic, non-equilibrium critical phenomena occur in much wider contexts than their equilibrium counterparts, and without having to ?ne-tune th- modynamic variables to their 'critical' values in each case. As a matter of fact, most systems in Nature are out of equilibrium. Given that the theme of non-equilibrium phase transitions of second order is wide enough to amount essentially to a treatment of almost all theoretical aspects of non-equilibrium many-body physics, a selection of topics is required to keep such a project within a manageable length. Therefore, Vol.
1 discusses a particular kind of non-equilibrium phase transitions, namely those between an active, ?- tuating state and absorbing states. Volume 2 (to be written by one of us (MH) with M. Pleimling) will be devoted to ageing phenomena.

1 Introduction. 2 Survey of Equilibrium Critical Phenomena. 3 Directed percolation. 4 Scaling Properties of Absorbing Phase Transitions 4.1 Scaling in the Steady State. 5 Universality classes different from directed percolation. Appendices: A Equilibrium Models A.1 Potts model A.2 Clock model A.3 Turban model A.4 Baxter-Wu model A.5 Blume-Capel model A.6 XY model A.7 O(n) model A.8 Double exchange model A.9 Frustrated spin models A.10 Hilhorst-van Leeuven model B Scaling Laws C Diagonalisation of Time-Evolution Operators D Langevin Equations and Path Integrals E Mean-Field Approximations E.1 Simple mean-field/site approximation E.2 Pair-approximation E.3 The ‘hop-away’ mean-field approximation F On Finite-Size Scaling Techniques F.1 Sequences of finite-size estimates F.2 Sequence extrapolation G Numerical Methods G.1 Simulational techniques G.2 Computation of response functions. Solutions. Frequently Used Symbols. Abbreviations. References. Index.

Erscheint lt. Verlag 26.11.2014
Reihe/Serie Theoretical and Mathematical Physics
Zusatzinfo XIII, 385 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Festkörperphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 94-007-9660-9 / 9400796609
ISBN-13 978-94-007-9660-7 / 9789400796607
Zustand Neuware
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