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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Numerical irreversibility in self-gravitating small N-body systems
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Numerical irreversibility in self-gravitating small N-body systems

机译：自重小N体系统中的数值不可逆性

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Numerical irreversibility due to round-off errors appearing in self-gravitating N-body systems is investigated by means of molecular dynamics methods. As a typical self-gravitating system, a closed spherical system consisting of N point-particles, which are interacting through the Plummer softened potential, is considered. In order to examine the numerical irreversibility, time-reversible simulations are executed: that is, a velocity inversion technique for a time-reversal operation is applied at a certain time during the evolution of the system. Through the simulations with various energy states, it is found that, under a restriction of constant initial potential energy, numerical irreversibility prevails more rapidly with decreasing initial kinetic energy. In other words, the lower the initial kinetic energy (or the lower the total energy), the earlier the memory of the initial conditions is lost. Moreover, an influence of integration step sizes (i.e., time increments Delta t) on numerical irreversibility is examined. As a result, even a small time increment could not improve reversibility of the present self-gravitating system, although the small time increment reduces global errors in total energy. (c) 2007 Elsevier B.V. All rights reserved.
机译：通过分子动力学方法研究了由于自重N体系统中出现的舍入误差引起的数值不可逆性。作为典型的自重系统，考虑了一个由N个点粒子组成的闭合球形系统，它们通过Plummer软化电位相互作用。为了检查数值不可逆性，执行了时间可逆仿真：即，在系统演化过程中的某个时间应用了时间逆操作的速度反转技术。通过对各种能量状态的仿真，发现在恒定的初始势能的限制下，随着初始动能的减小，数值不可逆性会更快地出现。换句话说，初始动能越低（或总能量越低），初始条件的记忆就越早丢失。此外，研究了积分步长（即，时间增量Δt）对数值不可逆性的影响。结果，即使很小的时间增量也不能改善本自重系统的可逆性，尽管小的时间增量减小了总能量的整体误差。 （c）2007 Elsevier B.V.保留所有权利。

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