The bond problem in a one-dimensional percolation theory for finite systems

被引：0
|
作者：
Bureeva, M. A. [1 ]
Volkova, T. V. [1 ]
Udodov, V. N. [1 ]
Potekaev, A. I. [2 ]
机构：
[1] NF Katanov State Univ Khakassia, Abakan, Russia
[2] Tomsk VV Kuibyshev State Univ, VD Kuznetsov Siberian Phys Tech Inst, Tomsk 634050, Russia
来源：
RUSSIAN PHYSICS JOURNAL | 2010年 / 53卷 / 02期
关键词：
percolation theory; bond problem; site problem;
D O I：
10.1007/s11182-010-9407-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The results of investigations of main characteristics of a one-dimensional percolation theory (percolation threshold, critical exponents of correlation radius and specific heat, and free energy) are presented for the bond and site problems. For the first time it is shown that for a finite-size system the stability condition is fulfilled while the scaling hypothesis is inacceptable for one-dimensional bond problem.
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页码：140 / 147
页数：8
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