کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
978807 | 1480201 | 2006 | 16 صفحه PDF | دانلود رایگان |

For honeycomb, square and triangular lattices we consider the groundstate threshold pcpc of spontaneous absolute magnetization in iso- and anisotropic random +/-J+/-J Ising models from so-called uniform classes HCz,SQz,TRzHCz,SQz,TRz. The class index z(⩾1)z(⩾1) gives a fixed number of so-called PAF-bonds on the plaquette perimeter. A PAF-bond is a bond which has a positive (P) probability pp to be antiferromagnetic (AF) and the probability 1-p1-p to be ferromagnetic where pp has the same value for all the PAF-bonds in a considered lattice. The non-PAF-bonds in the lattice are ferromagnetic. In [Achilles et al., Physica A 275 (2000) 178], for each of the uniform classes HC1,…,HC6,SQ1,…,SQ4,TR1,…,TR3 we proposed a so-called basic minimal (maximal) model to obtain the minimal (maximal) pcpc-value in the underlying class. Moreover, supported by estimates from simulations, concerning these basic models, we gave presumably exact values for the minimal (maximal) pcpc. Here we show that the predicted pcpc-values are linked by meaningful factors. To this end, in essence, zz-values (1,2,…,6)(1,2,…,6) and coordination numbers (Δhc=3,Δsq=4,Δtr=6)(Δhc=3,Δsq=4,Δtr=6) are used. Typical factors are (Δsq-1)/(Δhc-1)(Δsq-1)/(Δhc-1) or z1/z2⩾1z1/z2⩾1. Especially, the minimal model case, with its 13 basic models fits in very well. Furthermore, for in-between-models of a uniform class, pcpc is approximated by linear interpolation between pc,minpc,min and pc,maxpc,max from basic minimal and maximal models.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 359, 1 January 2006, Pages 399–414