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首页> 外文期刊>Journal of Statistical Physics >Finite Volume Corrections and Decay of Correlations in the Canonical Ensemble
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Finite Volume Corrections and Decay of Correlations in the Canonical Ensemble

机译:规范合奏中的有限体积校正和相关性衰减

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摘要

We consider a classical system of particles confined in a box interacting via a finite range pair potential. Given the validity of the cluster expansion in the canonical ensemble we compute the error between the finite and the infinite volume free energy and estimate it to be bounded by the area of the surface of the box's boundary over its volume. We also compute the truncated two-point correlation function and find that the contribution from the ideal gas case is of the order plus an exponentially small error with the distance.
机译:我们考虑了一个经典的粒子系统,它被限制在一个通过有限范围对势相互作用的盒子中。给定规范集合中簇扩展的有效性,我们可以计算有限体积和无限体积自由能之间的误差,并估计该误差由盒子边界表面在其体积上的面积所界定。我们还计算了截断的两点相关函数,发现理想气体情况的贡献为该数量级加上距离的指数小误差。

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