Scale-free network hidden in a collapsing polymer.

Scale-free network hidden in a collapsing polymer.
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DOI:
10.1103/physreve.72.055102
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发表时间:
2004-09
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
A. Kabakçıoğlu;Attilio L. Stella
A. Kabakçıoğlu;Attilio L. Stella
中科院分区:
其他
文献类型:
--
作者:
A. Kabakçıoğlu;Attilio L. Stella

文献摘要

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我们表明,聚合物的塌缩球状相适应其接触的无标度不相容图。发现该网络的度分布随指数γ=1/(2-c)衰减,直至截止度dc与L(2-c)成正比,其中是致密聚合物的环指数(二维c=11/8),是聚合物的长度。我们的结果举例说明了无标度网络是如何走出标准临界点的。
We show that the collapsed globular phase of a polymer accommodates a scale-free incompatibility graph of its contacts. The degree distribution of this network is found to decay with the exponent gamma=1/(2-c) up to a cutoff degree dc proportional to L(2-c), where is the loop exponent for dense polymers (c=11/8 in two dimensions) and is the length of the polymer. Our results exemplify how a scale-free network can emerge from standard criticality.