Chaos vs. Linear Instability in the Vlasov Equation: A Fractal Analysis Characterization

Abstract

In this work we discuss the most recent results concerning the Vlasov dynamics inside the spinodal region. The chaotic behaviour which follows an initial regular evolution is characterized through the calculation of the fractal dimension of the distribution of the final modes excited. The ambiguous role of the largest Lyapunov exponent for unstable systems is also critically reviewed.

10 pages, RevTeX, 4 figures not included but available upon request

References in corpus (4)

• Universal Behavior of Lyapunov Exponents in Unstable Systems
• Dynamics of Fragment Formation in the Nuclear Spinodal Region
• Non-Linear Mean Field Dynamics in the Nuclear Spinodal Zone
• Chaotic Scattering in Heavy--Ion Reactions

Cited by in corpus (7)

• Lyapunov instability and finite size effects in a system with long-range forces
• Chaos and Statistical Mechanics in the Hamiltonian Mean Field Model
• One-body dissipation and chaotic dynamics in a classical simulation of a nuclear gas
• Generalized entropy and temperature in nuclear multifragmentation
• Intermittency route to chaos for the nuclear billiard - a quantitative study
• Nonlinearities of the Vlasov equation in the spinodal region
• Chaoticity and Dissipation of Nuclear Collective Motion in a Classical Model