气液态分子运动的Hurst指数及相图研究

INVESTIGATION OF HURST EXPONENT AND PHASE PATTERN OF MOLECULAR MOTION IN LIQUID AND VAPOR STATE

本文运用分子动力学模拟方法,模拟了不同温度条件下饱和气体和液体氩分子的运动。对气液状态下分子运动在速度空间的演化相图进行了比较。根据分形理论,对实际分子的分数布朗运动特性进行了讨论。应用本文提出的约化规模法,获得了不同温度条件下分子分数布朗运动的Hurst指数和轨迹分维数。饱和液相分子运动的Hurst指数并不随温度单调上升,存在一个极小值。

The characteristic of fractional Brownian motion of argon molecular in saturated liquid phase and vapor phase is investigated under the condition of different temperature by molecular dynamics simulation (MDS). The phase pattern of velocity of molecular motion is compared in saturated state of liquid phase and vapor phase. Based on the theory of fraction and the reduction scale method that is presented in this paper, fractional dimension numbers of the path and Hurst exponent of molecular motion are obtained. Hurst exponent of molecular motion in saturated liquid phase has a minimum in the certain temperature scope.