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中国物理学会期刊

连续相变临界点处的分形结构

CSTR: 32037.14.aps.40.584

FRACTAL STRUCTURE AT THE CRITICAL POINT OF CONTINUOUS PHASE TRANSFORMATION

CSTR: 32037.14.aps.40.584
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  • 本文研究了连续相变临界点处关联集团的关联维数,严格地导出了n阶关联维数Dn=d-n/(n-1)·β/v、关联集团的分维α=d-β/v、关联集团中心分布的维数f(α)=d等结果,并讨论了它们的意义。

     

    The correlation dimensions of correlation clusters at the critical point of continuous phase transformation are studied. The correlation dimensions Dn= d-nβ/(n - l)v, the dimension of one cluster a = d-β/v and the dimension of the centres of cluster f(a)=d are derived rigorously, and their meanings are discussed.

     

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