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Method, apparatus and computer program for multiple time stepping simulation of a thermodynamic system using shadow hamiltonians

机译:使用阴影哈密顿量的热力学系统的多时间步长仿真的方法,装置和计算机程序

摘要

A computer-implemented method including a momentum refreshment process and a conservative dynamics process, wherein the refreshment process including carrying out an operation of mixing the collective momentum vector with a noise vector and carrying out an acceptance/rejection (acceptance and rejection) operation; the dynamics process including applying a multiple time stepping conservative dynamics operation to a current state, in which calculations corresponding to more slowly varying energy parts undergo an averaging procedure and are carried out at a larger time step than calculations corresponding to more quickly varying energy parts; and carrying out an acceptance/rejection operation based on an approximation of the system energy expressed using shadow Hamiltonians and include accepting a current state or returning a replacement state.
机译:一种计算机实现的方法,包括动量刷新处理和保守动力学处理,其中,所述刷新处理包括执行以下步骤:将集体动量矢量与噪声矢量混合,并且执行接受/拒绝(接受和拒绝)操作;动力学过程包括对当前状态进行多次时间步长的保守动力学运算,其中对应于变化较慢的能量部分的计算要经过平均程序,并且要比对应于变化更快的能量部分的计算花费更大的时间步长;以及基于利用阴影哈密顿量表示的系统能量的近似值来执行接受/拒绝操作,并且包括接受当前状态或返回替换状态。

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