The field of phase transitions and critical phenomena continues to be active in research,
producing a steady stream of interesting and fruitful results. It has moved into a central place …

This book gives a pedagogical introduction to the physics of amorphous solids and related
disordered condensed matter systems. Important concepts from statistical mechanics such …

The distributions P (X) of singular thermodynamic quantities, on an ensemble of d-
dimensional quenched random samples of linear size L near a critical point, are analyzed …

We consider glass states of several disordered systems: vortices in impure superconductors,
amorphous magnets, and nematic liquid crystals in random porous media. All these systems …

By the Parisi-Sourlas conjecture, the critical point of a theory with random field (RF) disorder
is described by a supersymmeric (SUSY) conformal field theory (CFT), related to ad-2 …

A bstract We revisit perturbative RG analysis in the replicated Landau-Ginzburg description
of the Random Field Ising Model near the upper critical dimension 6. Working in a field basis …

Most physical and biological systems are disordered, even though the majority of theoretical
models treat disorder as a weak perturbation. One particularly simple system is a …

We apply the recently developed critical minimum-energy subspace scheme for the
investigation of the random-field Ising model. We point out that this method is well suited for …

The effect of the random magnetic field distribution on the phase diagrams and ground state
magnetizations of Ising nanowire is investigated using effective field theory with correlations …

The critical behavior of the random-field Ising model has long been a puzzle. Different
methods predict that its critical exponents in D dimensions are the same as in the pure (D …