SPECTRAL DIMENSION OF BRANCHED STRUCTURES - UNIVERSALITY IN GEOMETRICAL DISORDER

被引:14
作者
CASSI, D
REGINA, S
机构
[1] Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma, 43100 Parma, viale delle Scienze
关键词
D O I
10.1103/PhysRevLett.70.1647
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By analytically studying random walk generating functions on a wide class of disordered branched structures we obtain the exact values of their spectral dimensions, which turn out to depend only on the branching degree of these structures. The results show that the spectral dimension is a universal quantity largely disorder independent provided that some boundedness conditions are satisfied; its values are also always less than 2, so that these branched structures are all recursive graphs.
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页码:1647 / 1649
页数:3
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