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