We have studied the magnetic properties of a mixed ferro–ferrimagnet composed of three different metal ions with spins 12,1, and 32 which includes both ferromagnetic and antiferromagnetic interactions. The system is considered in the frame of an Ising model in the effective-field theory with...

The mixed spin-1 and spin-32 Ising ferrimagnetic system with different anisotropies is studied within the mean-field theory based on Bogoliubov inequality for the Gibbs free energy. Global phase diagrams are obtained in the temperature-anisotropy plane. In particular we find first-order...

In the paper, we study the projections of the real exchange rate dynamics onto the string-like topology. Our approach is inspired by the contemporary movements in the string theory. The string map of data is defined here by the boundary conditions, characteristic length, real valued and the...

Many studies have shown that there are good reasons to claim very low predictability of currency returns; nevertheless, the deviations from true randomness exist which have potential predictive and prognostic power [J. James, Simple trend-following strategies in currency trading, Quantitative...

Dependence of the evolutionary dynamics on the population’s heterogeneity has been reliably recognized and studied within the frame of evolutionary optimization theory. As the causal relation between the heterogeneity and dynamics of environment has been revealed, the possibility to influence...

The paper aims to discuss statistical properties of the multi-agent based model of competitive growth. Each of the agents is described by the growth (or decay) rule of its virtual “mass”, with the rate affected by the interaction with other agents. The interaction depends on the strategy...

An auto-adaptive multicanonical Monte Carlo (MMC) simulation method is suggested and tested on a single-vortex model of magnetic nanoelement. Simulation process consisting of nonequilibrium and equilibrium stages that circumvents ergodicity sampling problems which stem from a potential barrier...