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

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

1995-09-11

arxiv.org/abs/nucl-th/9509020v1

Phys.Rev.C53:2556-2559,1996

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.53.2556

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.

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