Excess entropy and central charge of the two-dimensional random-bond Potts model in the large- Q limit

被引：1

作者：

Kovacs, Istvan A. ^{[1
,2
]}

d'Auriac, Jean-Christian Angles ^{[3
]}

Igloi, Ferenc ^{[1
,2
]}

机构：

[1] Wigner Res Ctr, Inst Solid State Phys & Opt, H-1525 Budapest, Hungary

[2] Univ Szeged, Inst Theoret Phys, H-6720 Szeged, Hungary

[3] CNRS, MCBT, Inst Neel, F-38042 Grenoble, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2014年

关键词：

conformal field theory; classical phase transitions (theory); finite-size scaling; disordered systems (theory); 1ST-ORDER PHASE-TRANSITIONS; ISING SPIN CHAINS; CRITICAL-BEHAVIOR; FREE-ENERGY; SYSTEMS; DISORDER;

D O I：

10.1088/1742-5468/2014/09/P09019

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the random-bond Potts model in the large-Q limit and calculate the excess entropy, S-Gamma, of a contour, Gamma, which is given by the mean number of Fortuin-Kasteleyn clusters which are crossed by Gamma. In two dimensions, S-Gamma is proportional to the length of Gamma, to which-at the critical point-there are universal logarithmic corrections due to corners. These are calculated by applying techniques of conformal field theory and compared with the results of large scale numerical calculations. The central charge of the model is obtained from the corner contributions to the excess entropy and independently from the finite-size correction of the free-energy as: lim(Q ->infinity) c(Q)/ ln Q = 0.74(2), close to previous estimates calculated at finite values of Q.

引用

页数：12