An anisotropic limit of the 3d plaquette Ising model, in which the plaquette couplings in one
direction were set to zero, was solved for free boundary conditions by Suzuki (1972)[1], who …

We investigate the dual of the κ= 0 gonihedric Ising model on a 3D cubic lattice, which may
be written as an anisotropically coupled Ashkin–Teller model. The original κ= 0 gonihedric …

We investigate the behavior of two different order parameters for the Kuramoto model in the
desynchronized phase. Since the primary role of the order parameter is to distinguish …

In this paper we review a recently suggested generalization of the Feynman path integral to
an integral over random surfaces. The proposed action is proportional to the linear size of …

A 3D Ising model with a purely plaquette, 4-spin interaction displays a planar flip symmetry
intermediate between a global and a gauge symmetry and as a consequence has a highly …

A characteristic feature of the 3 d plaquette Ising model is its planar subsystem symmetry.
The quantum version of this model has been shown to be related via a duality to the X-Cube …

Results of Monte Carlo simulations of p-spin models on scale-free hypernetworks are
presented. The hypernetworks are obtained using the preferential attachment algorithm, the …

An inhomogeneous 2-dimensional recursive lattice formed by planar elements has been
designed to investigate the thermodynamics of Ising spin system on the surface/thin film. The …

1.1. Features of the gonihedric Ising model in three dimensions.. 2 1.2. Sketch of the time
evolution of a finite system at the phasecoexistence point between two phases at a …

Abstract (DE) In dieser Dissertation wird das Skalenverhalten derÜbergangstemperatur von
Systemen an diskontinuierlichen Phasenübergängen aus einem Zwei-Zustands-Modell …