Pseudo-ɛ-Expansion and the Two-Dimensional Ising Model

Ising Exponents in the Two-dimensional Site-diluted Ising Model

We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using nite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The diierences can be explained as the eeects of logarithmic corrections, without requiring to change the Universality Class.

On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model

For temperatures below the critical temperature, the magnetic susceptibility for the two-dimensional isotropic Ising model can be expressed in terms of an infinite series of multiple integrals. With respect to a parameter related to temperature and the interaction constant, the integrals may be extended to functions analytic outside the unit circle. In a groundbreaking paper, B. G. Nickel [10] ...

Measures for Complexity and the Two-dimensional Ising model

The Phase Separation Line in the Two-Dimensional Ising Model*

We prove that, at low temperature, the line of separation between the two pure phases shows large fluctuations in shape. This implies the translation invariance of the correlation functions associated with some non translation invariant boundary conditions and should be a peculiarity of the dimensionality of the model. 1. The Line of Separation It has recently been conjectured that the surface ...

On the diagonal susceptibility of the two-dimensional Ising model

Articles you may be interested in Social applications of two-dimensional Ising models Am. The critical temperature of two-dimensional and three-dimensional Ising models Am. The critical renormalized coupling constants in the symmetric phase of the three dimensional Ising model AIP Conf. We consider the diagonal susceptibility of the isotropic 2D Ising model for temperatures below the critical t...