ar X iv : c on d - m at / 9 60 50 32 v 1 6 M ay 1 99 6 THE LOW - TEMPERATURE PHASE OF KAC - ISING MODELS

ar X iv : h ep - l at / 9 30 50 06 v 1 4 M ay 1 99 3 HLRZ 27 / 93 LU TP 93 - 6 April 1993 Finite - size Scaling at Phase Coexistence

From a finite-size scaling (FSS) theory of cumulants of the order parameter at phase coexistence points, we reconstruct the scaling of the moments. Assuming that the cumulants allow a reconstruction of the free energy density no better than as an asymptotic expansion, we find that FSS for moments of low order is still complete. We suggest ways of using this theory for the analysis of numerical ...

ar X iv : c on d - m at / 9 50 40 37 v 1 1 1 A pr 1 99 5 . On the Critical Temperature of Non - Periodic Ising Models on Hexagonal Lattices

The critical temperature of layered Ising models on triangular and honeycomb lattices are calculated in simple, explicit form for arbitrary distribution of the couplings.

ar X iv : c on d - m at / 9 60 50 49 v 2 9 M ay 1 99 6 Gap probability of a one - dimensional gas model

We investigate the gap formation probability of the effective one dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully. † [email protected] †† [email protected] To appear in the In...

ar X iv : c on d - m at / 9 60 50 49 v 1 8 M ay 1 99 6 Gap probability of a one - dimensional gas model

We investigate the gap formation probability of the effective one dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully. † [email protected] †† [email protected] To appear in the In...

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass