Scaling and finite-size scaling in the two-dimensional randomly coupled Ising ferromagnet

Finite-size scaling in two-dimensional Ising spin-glass models.

We study the finite-size behavior of two-dimensional spin-glass models. We consider the ±J model for two different values of the probability of the antiferromagnetic bonds and the model with Gaussian distributed couplings. The analysis of renormalization-group invariant quantities, the overlap susceptibility, and the two-point correlation function confirms that they belong to the same universal...

Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions

The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak ...

Finite size scaling analysis of intermittency moments in the two dimensional Ising model

Finite size scaling is shown to work very well for the block variables used in intermittency studies on a 2-d Ising lattice. The intermittency exponents so derived exhibit the expected relations to the magnetic critical exponent of the model. a) Partly supported by the KBN grant 2P30216904. b) Partly supported by the KBN grant 203809101. c) Also Institute of Nuclear Physics, Cracow. d) On leave...

Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets

Finite-size corrections to scaling of critical correlation lengths and free energies of Ising and three-state Potts ferromagnets are analysed by numerical methods, on strips of width N sites of square, triangular and honeycomb lattices. Strong evidence is given that the amplitudes of the ‘analytical’ correction terms, N−2, are identically zero for triangular and honeycomb Ising systems. For Pot...

Ordered Phase in the Two-Dimensional Randomly Coupled Ferromagnet