Dynamics and Thermodynamics of Systems with Long Range Interactions

Thierry Dauxois, Stefano Ruffo, Ennio Arimondo, Martin Wilkens (Herausgeber)

Buch | Softcover

XI, 492 Seiten

2010 | 1. Softcover reprint of the original 1st ed. 2002
Springer Berlin (Verlag)
978-3-642-07928-3 (ISBN)

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Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.

Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Statistical Mechanics.- Thermo-statistics or Topology of the Microcanonical Entropy Surface.- Ensemble Inequivalence in Mean-Field Models of Magnetism.- Phase Transitions in Finite Systems.- Phase Transitions in Systems with 1/r ? Attractive Interactions.- Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems.- Astrophysics.- Statistical Mechanics of Gravitating Systems in Static and Cosmological Backgrounds.- Statistical Mechanics of Two-Dimensional Vortices and Stellar Systems.- Bose-Einstein Condensation.- Coherence and Superfluidity of Gaseous Bose-Einstein Condensates.- Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices.- Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates.- New Regimes in Cold Gases via Laser-Induced Long-Range Interactions.- Nonlinear Dynamics.- Dynamics and Self-consistent Chaos in a Mean Field Hamiltonian Model.- Kinetic Theory for Plasmas and Wave-Particle Hamiltonian Dynamics.- Emergence of Fractal Clusters in Sequential Adsorption Processes.- The Hamiltonian Mean Field Model: From Dynamics to Statistical Mechanics and Back.

Erscheint lt. Verlag	15.12.2010
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XI, 492 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	760 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Adsorption • astrophysics • Bose-Einstein condensation • Cluster • Entropy • Helium-Atom-Streuung • long-range interaction • long range interactions • nonequilibrium dynamics • nonextensive thermodynamics • Nonlinear Dynamics • phase transition • statistical mechanic • Statistical Mechanics
ISBN-10	3-642-07928-8 / 3642079288
ISBN-13	978-3-642-07928-3 / 9783642079283
Zustand	Neuware