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LYAPUNOV EXPONENT AND THE SOLID-FLUID PHASE TRANSITION

机译:LYAPUNOV指数和固液相变

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We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents lambda(max) for both two-and three-dimensional periodic systems of N-particles for various densities. The particles interact through a soft-core potential. The two-dimensional system exhibits an apparent second-order phase transition as indicated by a lambda-shaped peak in the specific heat. The first derivative of lambda(max) with respect to the temperature shows a peak at the same temperature. The three-dimensional system shows jumps, in both system energy and lambda(max), at the same temperature, suggesting a first-order phase transition. Relaxation phenomena in the phase-transition region are analyzed by using the local time averages. (C) 1997 American Institute of Physics. [References: 20]
机译:我们研究经历了固液相变的多体系统的混沌特性的变化。为此,我们针对不同密度的N粒子的二维和三维周期系统,计算了最大Lyapunov指数lambda(max)的温度依赖性。粒子通过软核势相互作用。二维系统表现出明显的二阶相变,如比热中的λ峰所示。 lambda(max)相对于温度的一阶导数在相同温度下显示一个峰值。三维系统在相同温度下显示出系统能量和lambda(max)的跃变,表明存在一阶相变。通过使用局部时间平均值来分析相变区域中的弛豫现象。 (C)1997美国物理研究所。 [参考:20]

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