PROBABILISTIC AND THERMODYNAMIC ASPECTS
OF NONLINEAR DYNAMICS
Satellite Meeting to STATPHYS 20
Brussels, Belgium, July 14-17, 1998
Conference program
JULY 14
9:15 Opening of the meeting by
Professor G. Huez, Dean of the Faculty of Science
Session 1 Spectral Properties, Ergodic Problems
9:30 D. Szasz : Non-integrability of cylindric billiards and transitive Lie-group actions
10:00 S. Tasaki : Exact solutions of the evolution equations of measures for some piecewise linear maps
10:30-11:00 Coffee Break
11:00 L. Bunimovich : Space-time chaos in nonlinear wave equation
11:30 M. Courbage : Chapman-Kolmogorov equation, dynamical systems and infinite memory processes
12:00 C. Tsallis : Nonextensive thermostatistics, multifractality and nonlinear dynamics : some connections
12:30-14:00 Lunch
Session 2 Dynamical systems and statistical mechanics 1- basic problems
14:30 D. Ruelle : A general linear response formula in nonequilibrium statistical mechanics
15:00 G. Jona-Lasinio : Symmetry of transport coefficients for non-reversible microscopic dynamics invariant under the product of time reversal and parity
15:30 J.L. Lebowitz : Nonequilibrium behavior of macroscopic systems : hydrodynamics and beyond
16:00-16:30 Coffee Break
16:30 E.G.D. Cohen : Statistical mechanical and dynamical systems. A comparison
17:00 P. Gaspard : Experimental evidence for microscopic chaos
Session 3
17:30-18:30 Poster Session
JULY 15
Session 4 Dynamical systems and statistical mechanics 2- thermostatted systems
9:30 W. G. Hoover : Reversibility in the context of particle simulations
10:00 D. Searles and
D.J. Evans : The central limit theorem and far-from- equilibrium Green-Kubo relations
10:30 G.P. Morriss : Periodic orbit approaches to nonequilibrium steady states
11:00-11:30 Coffee Break
11:30 L. Rondoni : Periodic orbit expansions in nonequilibrium statistical mechanics
12:00 H. van Beijeren : On the connections between chaos theory and nonequilibrium statistical mechanics : computation of the Lyapunov exponents
12:30 H. Posch : Lyapunov instability of model fluids
13:00-14:30 Lunch
Session 5 Dynamical systems and statistical mechanics 3- transport theory and general aspects
14:30 G. Gallavotti : Fluctuation theorem : possibility of a local version, experimental and theoretical results
15:00 J. R. Dorfman : Two-dimensional deterministic maps with diffusion : hyperbolic and non-hyperbolic behavior
15:30 J.-P. Eckmann : A nonlinear chain between two heat baths : existence and uniqueness of a steady state
16:00-16:30 Coffee Break
16:30 P. Cvitanovic : Beyond the periodic orbit theory
17:00 T. Tel : Chemical or biological activity in open chaotic flows
17:30-18:30 General discussion
JULY 16
Session 6 Quantum complex systems 1
9:30 T. Geisel : What determines the spreading of wave packets
10:00 G. Casati : Quantum non-ergodic behavior
10:30-11:00 Coffee Break
11:00 H. primack : Periodic orbit correlations and spectral statistics in quantum chaotic systems
11:30 K. Nakamura : Chaos and quantum transport in Aharonov-Bohm billiards
12:00 J. Percus : Hydrodynamically motivated models of quantum dynamics
12:30-14:00 Lunch
Session 7 Quantum complex systems 2
14:00 P. Leboeuf : Statistical properties of the time evolution of quantum systems
14:30 P. Szepfalusy : Aspects of nonlinear dynamics and quantum chaos in trapped Bose-Enstein gases
15:00 G. Dewel : Fringe patterns of Bose-Einstein condensates
15:30-16:00 Coffee Break
Session 8 Short communications 1
16:00 R. Artuso : Weak decay of correlations in area preserving maps
16:15 D. Driebe : Spectral decomposition of the tent map with varying height
16:30 F. Bonetto : Global and local phase space contraction
16:45 H. Fujisaka : On-off diffusion and its statistics
17:00 D. Isbister : Symplectic integrators in molecular dynamics
17:15 Z. Kovacs : Hall resistance in thermostatted billiards
17:30 D. Searles : Lyapunov spectra of nonequilibrium fluids
17:45 R. Klages and
K. Rateitschak Thermostatting by deterministic scattering
20:00 Conference dinner
Dinner speaker : M. Feigenbaum
JULY 17
Session 9 Stochastic and mesoscopic systems 1
9:30 C. Dettmann : Trace formulas for stochastic evolution operators : weak noise perturbation theory
10:00 R. Kapral : Mesoscopic kinetic theory models for fluid flow
10:30 K. Kitahara : Symplectic aspects of nonequilibrium thermodynamics
11:00 L. Demetrius : Thermodynamics and directionality principles in evolution
11:30-12:00 Coffee Break
Session 10 Short communications 2
12:00 F. Benatti : Fluctuations in chaotic dynamics
12:15 T. Hondou : Transformation of dynamical fluctuations into coherent
energy: energetics of forced thermal ratchet
12:30 J. Vollmer : Entropy balance, time reversibility and mass transport in dynamical systems
12:45 D. MacKernan : Chaos and observables : obtaining a "finite" statistical description
13:00-14:30 Lunch
Session 11 Stochastic and mesoscopic systems 2
14:30 L. Reichl : Decay processes in quantum dynamical systems and stochastic processes : analogies
15:00 V. Balakrishnan : Recurrences in chaotic systems
15:30 L. Schimansky-Geier : Noise in distributed systems far from equilibrium
16:00 M. San Miguel : Potential versus nonpotential problems in nonequilibrium statistical mechanics
16:30 P. Reimann : Collective transport by noise-induced symmetry breaking
17:00-17:30 Coffee Break
17:30 Closing remarks