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arXiv 0912.2491cond-mat.softcond-mat.stat-mech
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静态颗粒堆积正则系综中的力平衡

Force balance in canonical ensembles of static granular packings

Brian P. Tighe, Thijs J. H. Vlugt

摘要:

我们调查的作用,局部力平衡的过渡从静态颗粒包装的微正则系综,其特征在于由不变的应力,正则系综。二维的填充允许相互的平铺,力平衡的集体效应是这种平铺的面积在微正则系综中也是不变的。我们提出了分析应力,平铺面积和平铺面积波动之间的关系,并表明,一个典型的合奏可以通过一个密集的热力学参数共轭到一个或另一个的特点。我们测试的等效性不同的合奏通过第一个典型的模拟力网络合奏,一个模型系统。

英文摘要:

We investigate the role of local force balance in the transition from a microcanonical ensemble of static granular packings, characterized by an invariant stress, to a canonical ensemble. Packings in two dimensions admit a reciprocal tiling, and a collective effect of force balance is that the area of this tiling is also invariant in a microcanonical ensemble. We present analytical relations between stress, tiling area and tiling area fluctuations, and show that a canonical ensemble can be characterized by an intensive thermodynamic parameter conjugate to one or the other. We test the equivalence of different ensembles through the first canonical simulations of the force network ensemble, a model system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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