Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the
liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples …

The phase transitions and critical properties of two types of inhomogeneous systems are
reviewed. In one case, the local critical behaviour results from the particular shape of the …

The history of critical phenomena goes back to the year 1869 when Andrews discovered the
critical point of carbon dioxide, located at about 31° C and 73 atmospheres pressure. In the …

The quantum Ising chain of length, L, which is separated into two parts by localized or
extended defects is considered at the critical point where scaling of the interface …

We consider the Ising model and the directed walk on two-dimensional layered lattices and
show that the two problems are inherently related: The zero-field thermodynamical …

The authors consider m two-dimensional semi-infinite planes of Ising spins joined together
through surface spins and study the critical behaviour near to the junction. The m= 0 limit of …

The low-energy excitation spectrum of an Ising quantum chain in a transverse field which is
critical (h= J= 1) for 1< or= n< or= L/2 and off-critical (h not= J) for L/2 (n< or= L is calculated …

We consider first-order transitions near line defects in two-dimensional systems with a jump
of the local order parameter at the continuous bulk critical point. Analyzing exact results, a …

The conformal map** w=(L/2π) lnz transforms the critical plane with a radial perturbation α
ρ− y into a cylinder with width L and a constant deviation α (2π/L) y from the bulk critical …

We consider a planar Ising model with an extended defect described by couplings of the
form K (r)= K·(1+ A/r). We determine the spectrum of the corner transfer matrix numerically …