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Lyapunov exponents in unstable systems.

作者信息

Colonna M, Bonasera A

机构信息

Laboratorio Nazionale del Sud, Via S. Sofia 44, I-95123 Catania, Italy.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):444-8. doi: 10.1103/physreve.60.444.

DOI:10.1103/physreve.60.444
PMID:11969780
Abstract

We investigate the dynamical behavior of unstable systems in the vicinity of the critical point associated with a liquid-gas phase transition. By considering a mean-field treatment, we first perform a linear analysis and discuss the instability growth times. Then, coming to complete Vlasov simulations, we investigate the role of nonlinear effects and calculate the Lyapunov exponents. As a main result, we find that near the critical point, the Lyapunov exponents exhibit a power-law behavior, with a critical exponent beta=0.5. This suggests that in thermodynamical systems the Lyapunov exponent behaves as an order parameter to signal the transition from the liquid to the gas phase.

摘要

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