Critical behavior of the two-dimensional icosahedron model

Critical behavior of the two-dimensional step model.

Critical behavior of the two-dimensional randomly driven lattice gas.

We investigate the critical behavior of the two-dimensional randomly driven lattice gas, in which particles are driven along one of the lattice axes by an infinite external field with randomly changing sign. A finite-size scaling (FSS) analysis provides novel evidences that this model is not in the same universality class as the driven lattice gas with a constant drive (DLG), contrarily to what...

Critical behavior of the quasi-two-dimensional semiconducting ferromagnet CrSiTe3

The semiconducting ferromagnet CrSiTe3 is a promising candidate for two-dimensional magnet simply by exfoliating down to single layers. To understand the magnetic behavior in thin-film samples and the possible applications, it is necessary to establish the nature of the magnetism in the bulk. In this work, the critical behavior at the paramagnetic to ferromagnetic phase transition in single-cry...

Critical Behavior of the Two-Dimensional First Passage Time

We study the two-dimensional first passage problem in which bonds have zero and unit passage times with probability p and 1 p, respectively. We prove that as the zero-time bonds approach the percolation threshold p~, the first passage time exhibits the same critical behavior as the correlation function of the underlying percolation problem. In particular, if the correlation length obeys ~(p) ~ ...

Critical behavior of the two-dimensional Ising susceptibility.

We report computations of the short- and long-distance (scaling) contributions to the square-lattice Ising susceptibility. Both computations rely on summation of correlation functions, obtained using nonlinear partial difference equations. In terms of a temperature variable tau, linear in T/Tc-1, the short-distance terms have the form tau(p)(ln/tau/)q with p> or =q2. A high- and low-temperature...