The system under consideration is a one-component weakly non-uniform gas with small potential interaction. The investigation is based on the kinetic equation in the case of small interaction with a nonlocal collision integral [1]. In [2] it is shown that the system kinetic energy is not conserved on the basis of the nonlocal collision integral. So the system temperature should be defined on...
We consider theoretically the problem of the pulse transmission along 1D vertical chain of hard spheres, which interact with each other by pair-wise nonlinear Hertz law [1-3]. System is subject into gravity and therefore became inhomogeneous [2,3]. We show, that being excited form the boundary (from the top), system is able to exhibit complex multimode dynamics of pulse propagation. After...
The problem of the influence of an external field on the magnetic moments of ferromagnetic clusters surrounded by an antiferromagnet is studied in this paper. Clusters interact with each other magneticaly. In the case of strong anisotropy such a system can be described by a one-dimensional Ising model with a random exchange in the presence of an effective local field. The inhomogeneity of the...
Bose system in the presence of the condensate is investigated in the Bogolyubov model of the separated condensate (see about in [1]). In this state occupation number ${{n}_{0}}$ of one-particle state with momentum ${p}=0$ is macroscopic one. In this model the system is described by the statistical operator
$
w({{n}{0}})={{e}^{\beta [\Omega ({{n}{0}})-\hat{H}({{n}_{0}})+\mu...
We consider a class of spiking neuronal models with threshold 2, defined by a set of conditions typical for basic threshold-type models, such as the leaky integrate-and-fire or the binding neuron model and also for some artificial neurons. A neuron is fed with a Poisson process. Each output impulse is applied to the neuron itself after a finite delay $\Delta$. This impulse is identical to...