arXiv subjects
Publications and source records attributed to V. V. Makhro.
We investigate some dynamical parameters of $λ$ - solitons which arises in the family of implicit difference schemes for the diffusion equation with fractional difference operator $ \frac{\partial ^2}{\partial x^2}$ and imaginary diffusion coefficient. We suppose that such schemes may correspond to fractional diffusion equation with imaginary diffusion coefficient.
We present results of direct numerical calculations for the problem of quantum tunneling through the time-dependent potential barrier. Computations clearly demonstrate existence of the effect of the underbarrier resonance.
We announce a detailed numerical investigation for some class of difference schemes, which arises from Euler implicit scheme. Such schemes demonstrate unusual behavior and leads to origin of solitons. Applications to some nonlinear problems are discussed.
"Phase transitions" between quantum and classical behaviour in large spin magnetic systems discused.
The mechanism of the parametrical stimulated tunneling in the spectrum of the moving domain wall considered. It is shown that such a mechanism can to cause the initial phase of the parametrical evolution of domain wall's surface waves. In turn, this evolution leads to an appearance of essential features in domain walls dynamics.
We propose a novel approach to the problem of a transition from quantum to classical behavior in mesoscopic spin systems. This paper is intended to demonstrate that main cause of such transitions is quantum decoherence which appear as a result of a thermal interaction between spin system and its environment.
We have shown that recent report concerning the first-order phase transitions in the large-spin systems is inaccurate. A kinetic numerical method for making calculations of the transition rate in a bistable system as a function of temperature has been evolved and a new critical value of the transition field (h=0.891) has been found. A physical mechanism caused transition from quantum to classical behavior has been discussed.
A theoretical and numerical investigations of the quantum tunneling of the domain walls in ferromagnets and weak ferromagnets was performed taking into account the interaction between walls and thermal excitations of a crystal. The numerical method for calculations of the probability of a thermally stimulated quantum depinning as the function of temperature at the wide temperature range has been evolved.