An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

Theoretical ideas for deriving singularities of thermodynamical functions at the second-order
phase transitions in spin systems with weak quenched disorder are considered. In particular …

Abstract Preface; 1. Introduction; Part I. Spin-Glass Systems: 2. Physics of the spin glass
state; 2. The mean-field theory of spin glasses; 4. Physics of replica symmetry breaking; 5 …

We develop a recently proposed mapping of the two-dimensional Ising model with random
exchange (RBIM) via the transfer matrix, to a network model for a disordered system of …

We study the universality class of the Nishimori point in the 2D±J random-bond Ising model
by means of the numerical transfer-matrix method. Using the domain-wall free energy, we …

Abstract The two-dimensional (2D) random-bond Ising model has a novel multicritical point
on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one …

We consider a classical random-bond Ising model (RBIM) with binary distribution of±K
bonds on the square lattice at finite temperature. In the phase diagram of this model there is …

The nonequilibrium relaxation (NER) method is a numerical technique to analyse
equilibrium phase transitions. One can estimate the transition point and critical exponents …

В обзоре излагаются теоретические подходы и идеи, развитые для вычисления
сингулярностей термодинамических функций при фазовых переходах второго рода в …

We present arguments, based on local gauge invariance, that the multicritical point of Ising
spin-glasses should be located on a particular line of the phase diagram known as …