UNIVERSAL BEHAVIOR OF LYAPUNOV EXPONENTS IN UNSTABLE SYSTEMS

被引:48
作者
BONASERA, A [1 ]
LATORA, V [1 ]
RAPISARDA, A [1 ]
机构
[1] UNIV CATANIA,DIPARTMENTO FIS,I-95129 CATANIA,ITALY
关键词
D O I
10.1103/PhysRevLett.75.3434
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate the Lyapunov exponents in a classical molecular dynamics framework. Yukawa and Slater-Kirkwood forces are considered in order to give an equation of state that resembles the nuclear and the atomic He-4 equation of state, respectively, near the critical point for liquid-gas phase transition. The largest Lyapunov exponents lambda are always positive and can be very well fitted near the ''critical temperature'' with a functional form lambda proportional to \T - T-c\(-omega), where the exponent omega = 0.15 is independent of the system and mass number. At smaller temperatures we find that lambda proportional to T-0.4498, a universal behavior characteristic of an order to chaos transition.
引用
收藏
页码:3434 / 3437
页数:4
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