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arXiv 1304.2183cond-mat.stat-mech
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多体耗散粒子动力学中的No-go定理

No-go theorem in many body dissipative particle dynamics

Patrick B. Warren

摘要:

多体耗散粒子动力学(MDPD)是一种基于粒子的模拟方法,其中相互作用势是依赖于局部采样密度变量的自能之和。这种函数形式产生了密度相关的成对力,但不是所有这样的力的法律是从一个潜在的和可积性条件,这是一个强有力的约束。一个战略来评估这个约束的影响是说明在这里推导出一个有用的不去定理多组分MDPD。

英文摘要:

Many body dissipative particle dynamics (MDPD) is a particle-based simulation method in which the interaction potential is a sum of self energies depending on locally-sampled density variables. This functional form gives rise to density-dependent pairwise forces, however not all such force laws are derivable from a potential and the integrability condition for this to be the case provides a strong constraint. A strategy to assess the implications of this constraint is illustrated here by the derivation of a useful no-go theorem for multicomponent MDPD.

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