One-body dissipation and chaotic dynamics in a classical simulation of a nuclear gas

Abstract

In order to understand the origin of one-body dissipation in nuclei, we analyze the behavior of a gas of classical particles moving in a two-dimensional cavity with nuclear dimensions. This "nuclear" billiard has multipole-deformed walls which undergo periodic shape oscillations. We demonstrate that a single particle Hamiltonian containing coupling terms between the particles' motion and the collective coordinate induces a chaotic dynamics for any multipolarity, independently on the geometry of the billiard. If the coupling terms are switched off the "wall formula" predictions are recovered. We discuss the dissipative behavior of the wall motion and its relation with the order-to-chaos transition in the dynamics of the microscopic degrees of freedom.

16 pages, 12 postscript figures included, revtex, new version completely revised accepted by Physical Review C and scheduled to appear in the issue of november 1998

References in corpus (6)

• Lyapunov instability and finite size effects in a system with long-range forces
• Thermalization of a Brownian particle via coupling to low-dimensional chaos
• Coexistence of Regular Undamped Nuclear Dynamics with Intrinsic Chaoticity
• Chaoticity in Vibrating Nuclear Billiards
• Chaotic Scattering in Heavy--Ion Reactions
• Chaos vs. Linear Instability in the Vlasov Equation: A Fractal Analysis Characterization

Cited by in corpus (7)

• Properties of the nuclear medium
• Collective and chaotic motion in self-bound many-body systems
• Code C# for chaos analysis of relativistic many-body systems
• Code C# for chaos analysis of relativistic many-body systems with reactions
• High precision framework for Chaos Many-Body Engine
• Lyapunov Instability versus Relaxation Time in two Coupled Oscillators
• A nonlinear classical model for the decay widths of Isoscalar Giant Monopole Resonances