Chaotic Dynamics and Transport in Classical and Quantum Systems: Proceedings of the NATO Advanced Study Institute on International Summer School on Chaotic Dynamics and Transport in Classical and Quantum Systems, Cargèse, Corsica, 18 - 30 August 2003. (Google eBook)

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Pierre Collet, M. Courbage, S. Métens, A. Neishtadt, G. Zaslavsky
Springer Science & Business Media, Mar 30, 2006 - Science - 455 pages
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From the 18th to the 30th August 2003 , a NATO Advanced Study Institute (ASI) was held in Cargèse, Corsica, France. Cargèse is a nice small village situated by the mediterranean sea and the Institut d'Etudes Scientifiques de Cargese provides ? a traditional place to organize Theoretical Physics Summer Schools and Workshops * in a closed and well equiped place. The ASI was an International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems". The main goal of the school was to develop the mutual interaction between Physics and Mathematics concerning statistical properties of classical and quantum dynamical systems. Various experimental and numerical observations have shown new phenomena of chaotic and anomalous transport, fractal structures, chaos in physics accelerators and in cooled atoms inside atom-optics billiards, space-time chaos, fluctuations far from equilibrium, quantum decoherence etc. New theoretical methods have been developed in order to modelize and to understand these phenomena (volume preserving and ergodic dynamical systems, non-equilibrium statistical dynamics, fractional kinetics, coupled maps, space-time entropy, quantum dissipative processes etc). The school gathered a team of specialists from several horizons lecturing and discussing on the achievements, perspectives and open problems (both fundamental and applied).
  

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Contents

A SHORT ERGODIC THEORY REFRESHER
1
NOTES ON SPECTRAL THEORY MIXING AND TRANSPORT
15
COMPLEXITY FRACTAL DIMENSIONS AND TOPOLOGICAL ENTROPY IN DYNAMICAL SYSTEMS
36
WORKING WITH COMPLEXITY FUNCTIONS
73
SRB distribution for Anosov maps
87
DYNAMICAL SYSTEMS THEORY OF IRREVERSIBILITY
106
ASPECTS OF OPEN QUANTUM SYSTEM DYNAMICS
159
ENERGY SURFACES AND HIERARCHIES OF BIFURCATIONS
188
FRACTAL TIME RANDOM WALK AND SUBRECOIL LASER COOLING CONSIDERED AS RENEWAL PROCESSES WITH INFINITE MEAN ...
281
ANOMALOUS TRANSPORT IN TWODIMENSIONAL PLASMA TURBULENCE
303
THE ONSET OF SYNCHRONISM IN GLOBALLYLL COUPLED ENSEMBLES OF CHAOTIC AND PERIODIC DYNAMICAL UNITS
320
QUANTUM BREAKING TIME FOR CHAOTIC SYSTEMS WITH PHASE SPACE STRUCTURES
333
HAMILTONIAN CHAOS AND FRACTALS IN CAVITY QUANTUM ELECTRODYNAMICS
349
INERT AND REACTING TRANSPORT
364
TRACER TRANSPORT DURING THE GEOSTROPHIC ADJUSTMENT IN THE EQUATORIAL OCEAN
413
THE FERMIPASTAULAM PROBLEM IN THE THERMODYNAMIC LIMIT
430

PhaseSpace Semiclassical Analysis Around Semiclassical Trace Formulae
225
ATOMOPTICS BILLIARDS
239
CONTROL OF CHAOS AND SEPARATION OF PARTICLES IN INERTIA RATCHETS
268
LECTURES
441
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