摘要翻译:
利用完整约束对平衡系统施加恒定的瞬时位形温度。根据完整约束的引入方式和动力学所保留的相空间分布函数的不同,得到了三组不同的运动方程。首先,利用Gauss最小约束原理,证明了它不保持正则分布。其次,利用修正的哈密顿量来寻找一个提供受限微正则分布的动力学。最后,我们给出了一个特殊设计的方程,它既满足温度约束,又产生一个受限制的正则系综。
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英文标题:
《Isoconfigurational thermostat》
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作者:
Igor Rychkov and Debra J. Searles
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
A holonomic constraint is used to enforce a constant instantaneous configurational temperature on an equilibrium system. Three sets of equations of motion are obtained, differing according to the way in which the holonomic constraint is introduced and the phase space distribution function that is preserved by the dynamics. Firstly, Gauss' principle of least constraint is used, and it is shown that it does not preserve the canonical distribution. Secondly, a modified Hamiltonian is used to find a dynamics that provides a restricted microcanonical distribution. Lastly, we provide equations that are specifically designed to both satisfy the temperature constraint and produce a restricted canonical ensemble.
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PDF链接:
https://arxiv.org/pdf/706.0438