Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 34: Nonlinear Dynamics, Synchronization and Chaos I

DY 34.5: Vortrag

Mittwoch, 29. März 2006, 15:30–15:45, H\"UL 186

Chaotic properties of systems of many hard particles. — •Astrid S. de Wijn — Max-Planck-Institut fuer Physik Komplexer Systeme, Noethnitzer Strasse 38, 01187 Dresden, Germany

The dynamics of a system consisting of many spherical hard particles can be described as a single point particle moving in a high-dimensional space with fixed hypercylindrical scatterers with specific orientations and positions. The similarities in the Lyapunov exponents between systems of many particles and high-dimensional billiards are investigated. Comparisons are made between billiards with randomly oriented cylinders and numerical results for systems of many hard particles as well as the analytical results for the high-dimensional Lorentz gas. The similarity shows that the hard-disk systems may be approximated by a spatially homogeneous and isotropic system of scatterers for a calculation of the smaller Lyapunov exponents, apart from the exponent associated with localization. The method of the partial stretching factor is used to calculate these exponents analytically, with results that compare well with simulation results of hard disks and hard spheres.

[1] A. S. de Wijn, Phys. Rev. E 72, 026216 (2005)

[2] A. S. de Wijn and Henk van Beijeren, Phys. Rev. E 70, 036209 (2004)

[3] A. S. de Wijn, Phys. Rev. E 71, 046211 (2005)