Buch, Englisch, 385 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 770 g
Volume 1: Absorbing Phase Transitions
Buch, Englisch, 385 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 770 g
Reihe: Theoretical and Mathematical Physics
ISBN: 978-1-4020-8764-6
Verlag: Springer Netherlands
“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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Naturwissenschaften Chemie Anorganische Chemie Festkörperchemie
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
Weitere Infos & Material
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.
