A cumulant expansion is used to calculate the transition temperature of Ising models with
random-bond defects. For a concentration, x, of missing interactions in the simple-square …

The problem of the effect of inhomogeneous impurities in a lattice structure on the critical
behaviour of systems which undergo a second-order phase transition is studied on a model …

In quenched random-spin systems, the renormalization group can be used to develop
recursion relations for the probability distribution for random potentials. Alternatively …

A renormalization-group technique is used to study the critical behavior of spin models in
which each interaction has a small independent random width about its average value. The …

A theory of pair connectedness is developed for fluid as well as lattice systems when the
presence of physical clusters of particles in the system is explicitly taken into account …

Rigorous inequalities are proved, which relate percolation probability, mean cluster size and
pair connectedness respectively with magnetization, susceptibility and pair correlation …

The Ising system with a small fraction of random long-range interactions is the simplest
example of small-world phenomena in physics. Considering the latter both in an annealed …

Fisher's rigorous bound chi< chi saw, where chi saw is the susceptibility calculated from the
self-avoiding walk (SAW) generating function, is applied to (i) the ferromagnetic Ising …

Two topics in the forefront of superconductor research--superconductor-insulator transition
in thin films and vortex tunneling in granular, bulk, and high temperature superconductors …

A general formalism is developed to obtain series expansions of the average number of
physical clusters of particles in the framework of Mayer's theory. The special case of lattice …