An exactly soluble three-dimensional spherical-like model is considered to describe the distortive structural phase transition of a crystal with a single defect. The defect can be incorporated in the vibrations of all other particles only if the attractive single-site potential of the defect is...

We perform Monte Carlo simulations on the body-centered-tetragonal helimagnet with Heisenberg spins which has the same breakdown of symmetry as the stacked triangular antiferromagnetic lattices and must belong to the same universality class. We obtain a second-order transition with similar...

Opinion dynamics is studied through a minimal Ising model with three main influences (fields): personal conservatism (power-law distributed), inter-personal and group pressure, and a global field incorporating peer-to-peer and mass communications, which is generated bottom-up from the faction...

Recent empirical observations show that traffic flow is related to various phase transitions, especially at bottlenecks. This paper studies traffic flow induced by an on-ramp in the Nagel–Schreckenberg model. It is shown that when considering the situation that vehicles on main road and...

The Domany–Kinzel cellular automaton is a simple and yet very rich model to study phase transitions in nonequilibrium systems. This model exhibits three characteristic phases: frozen, active and chaotic. In this paper we discuss the behavior of the equal-time two-point correlation functions...

A wide angle X-ray scattering investigation of (polyethylene oxide)n–sodium thiocyanate [(PEO)nNaSCN] mixtures is reported. Temperature dependence analysis for different mixtures is shown, in order to rationalize the multi-phase behaviour. Depending on the amount of salt added and upon the...

The agent-based model treated in the present study describes dynamics of two types of population in a gravity-like potential field. In previous studies, the model was known to exhibit various spatiotemporal patterns on two-dimensioanl lattice systems. However, the patterns were classified...

The dynamical origin of opinion polarization in the real world is an interesting topic that physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on microscopic opinion change. Here we introduce a...

While the major target of this contribution was the stabilization of the theoretically predicted CsCl form of the sodium chloride which could exhibit a singular and peculiar metallic behavior, this study took advantage of the nano-scaled aspect of the synthesized NaCl to report for the first...

We consider convex risk measures in a spatial setting, where the outcome of a financial position depends on the states at different nodes of a network. In analogy to the theory of Gibbs measures in Statistical Mechanics, we discuss the local specification of a global risk measure in terms of...