An exact relation is established between the solid-on-solid model describing the growth of
crystals and the classical XY model. Application of this relation to a special case leads to an …

The dynamic scaling properties of a polycrystalline growth model proposed by Van der Drift
are discussed. We present an analytic derivation of the dynamic exponent, describing the …

In this paper a general and simple method to calculate exactly the critical temperature for
Ising nets on periodic structures is introduced. The method can be used to predict the …

We study the dynamics of an incommensurate chain sliding on a periodic lattice, modeled by
the Frenkel-Kontorova Hamiltonian with initial kinetic energy, without damping and driving …

A Kadanoff lower-bound renormalization transformation with three variational parameters
has been applied to the Blume-Capel model by Burkhardt. We report some additional results …

It has been observed 1 that the spherical model2 can be considered as a limit of infinite spin
dimensionality (n~ cx:). A rigorous proof of this fact was recently given by Kac and Thomson, …

A generalized version of the Villain model is defined which contains the eight-vertex model
as a special case. A renormalization pattern is formulated in terms of this Villain model by …

We discuss the critical behavior of several models, all related to the 19-vertex model. These
models combine Ising and Gaussian degrees of freedom and have central charge c= 3/2 at …

We investigate a 19-vertex version of the two-dimensional fully frustrated XY (FFXY) model.
We construct Yang-Baxter equations for this model and show that there is no solution. …

We compare the dynamical characterization of pure thermodynamical phases as extremal
KMS states and their characterization as extremal time‐ or space‐invariant states. We find that…