Lyapunov exponents in unstable systems.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
; 60(1): 444-8, 1999 Jul.
Article
em En
| MEDLINE
| ID: mdl-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.
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En
Revista:
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
Assunto da revista:
MEDICINA
Ano de publicação:
1999
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Article
País de afiliação:
Itália