Arguments of the Jaynes' maximum entropy sort have proved to be surprisingly successful in providing one with approximate descriptions of pure states in a variety of scenarios, entirely bypassing any consideration of Schrödinger's equation. Thus far, however, the concomitant algorithm was...

The eigenvalue problem of an electron in the plane in the presence of a repulsive scatterer is studied. The electron is subject to a weak in-plane electric field and a magnetic field perpendicular to the plane. The associated magnetic length is much larger than the range of the scatterer. In...

Perturbation theory can be reformulated as dynamical theory. Then a sequence of perturbative approximations is bijective to a trajectory of dynamical system with discrete time, called the approximation cascade. Here we concentrate our attention on the stability conditions permitting to control...

Among the stationary configurations of the Hamiltonian of a classical O(n) lattice spin model, a class can be identified which is in one-to-one correspondence with all the configurations of an Ising model defined on the same lattice and with the same interactions. Starting from this observation...

In this paper, using both analytic methods and Monte Carlo simulations with our triangle cluster algorithm, we illustrate the scaling behavior of two possible 4th-order connected energy cumulants across the well-known second and first-order phase transitions of the Baxter–Wu model under zero...

Data compressors available in the web have been used to determine magnetic phases for two-dimensional (2D) systems [E. Vogel, G. Saravia, F. Bachmann, B. Fierro, J. Fischer, Phase transitions in Edwards-Anderson model by means of information theory, Physica A 388 2009 4075–4082]. In the...

A quantum spherical version of the site-random XY model in the presence of random field is presented in the boson space. In the phase diagram drawn as a function of the strength of random field, we find that the ferromagnetic and spin-glass phases are reduced by quantum fluctuations and...

We study phase transitions of two-dimensional Lennard-Jones drops. A wide excitation energy range is studied, which encompasses the solid-like to liquid-like phase transition, the weakly evaporating liquid drop and multifragmentation. We are able to calculate the caloric curve for the whole...

The quantum mechanical version of a classical model for studying the orientational degrees of freedom corresponding to a nematic liquid composed of biaxial molecules is presented. The effective degrees of freedom are described by operators carrying an SU(3) representation, which allows the...

An analytical description of the nucleation stage in a supersaturated vapor with instantly created supersaturation is given with taking into account the vapor concentration inhomogeneities arising as a result of depletion due to nonstationary diffusion onto growing droplets. This description is...