摘要翻译:
我们提出将力学虚功原理推广到机械系统的随机动力学。通过考虑每个质点的运动,计算出系统中每个质点的作用力和惯性力的总虚功。然后根据Lagrange-D'Alembert动态平衡原理,由虚功的消失系综平均值得到热力学熵最大的热力学平衡态。这种方法将统计力学的最大熵方法与力学的一个基本原理建立了密切的联系,并试图将被许多人认为只是基于概率和熵的主观性的推理原理的最大熵方法赋予基本物理定律的地位。
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英文标题:
《Seeing maximum entropy from the principle of virtual work》
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作者:
Qiuping A. Wang (ISMANS)
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最新提交年份:
2008
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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:
We propose an extension of the principle of virtual work of mechanics to random dynamics of mechanical systems. The total virtual work of the interacting forces and inertial forces on every particle of the system is calculated by considering the motion of each particle. Then according to the principle of Lagrange-d'Alembert for dynamical equilibrium, the vanishing ensemble average of the virtual work gives rise to the thermodynamic equilibrium state with maximization of thermodynamic entropy. This approach establishes a close relationship between the maximum entropy approach for statistical mechanics and a fundamental principle of mechanics, and constitutes an attempt to give the maximum entropy approach, considered by many as only an inference principle based on the subjectivity of probability and entropy, the status of fundamental physics law.
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PDF链接:
https://arxiv.org/pdf/704.1076


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