On the possibility of invoking wave-particle dualism by addressing localized deformation

The deBroglie relation is applied to the analysis of auto-wave processes of localized plastic flow in various materials and the results obtained are considered. It is found that the localization of plastic deformation can be conveniently addressed by invoking a hypothetical quasi-particle conjugated with the wave process of flow localization. The mass of the quasiparticle and the area of its localization have been defined.Comment: 2 pages, 1 fig. 1 table. Submitted to Phys. Rev. Letter

Inhomogeneous distribution particles in self-gravitational system

The microcanonical partition function for self-gravitational system in three dimensional case has been found. Used approach from the field theory of statistical description of the system was tailored to gravitational interacting particles with regard for an arbitrary spatially inhomogeneous particle distribution. The entropy of self-gravitational system has been found from extreme condition for the effective functional. For inhomogeneous distribution particle (formation few cluster of finite size) the entropy are bigger as the entropy homogeneous distribution of particles. The increasing of entropy of self-gravitational system after formation cluster motive tendency to disperse.Comment: 5 pages, 0 figure

No Stable Distributions in Finance, please!

Failure of the main argument for the use of heavy tailed distribution in Finance is given. More precisely, one cannot observe so many outliers for Cauchy or for symmetric stable distributions as we have in reality. keywords:outliers; financial indexes; heavy tails; Cauchy distribution; stable distribution

Inhomogeneous distribution of particles and temperature in self-gravitating system

Self-gravitating system are non-equilibrium a priory. A new approach is proposed, which employs a non-equilibrium statistical operator into account inhomogeneous distribution of particles and temperature. The method involves the saddle - point procedure to find the dominant contribution to the partition function and thus to obtain all thermodynamic parameters of the system. Probable peculiar features in the behavior of self-gravitating system are considered for various condition. The equation of state for self-gravitating system has been obtained. A new length of statistical instability and parameter of the spatial inhomogeneous distribution of particles and temperature are obtained for real gravitating system.Comment: 10 pages, no figure

Nonequilibrium self-gravitational system

The density of states of self-gravitational system diverges when the particles are spread to infinity. Other problem based an inhomogeneous distribution of particles,which motivate the gravitational interaction. In this sense the statistical mechanics of self-gravitational system is essentially an non-equilibrium problem. A new possible approach to statistical description of self-gravitational system has been proposed. The approach based on non-equilibrium statistical operator, which allow take into account inhomogeneous distribution particle and temperature in self gravitational system. The saddle point procedure, which used in the given method describes the spatially inhomogeneous distribution in self gravitational system accompanied by temperature changing.Comment: 5 pages, 0 figure

Axion mass limit from observations of the neutron star in Cassiopeia A

Direct Chandra observations of a surface temperature of isolated neutron star in Cassiopeia A (Cas A NS) and its cooling scenario which has been recently simultaneously suggested by several scientific teams put stringent constraints on poorly known properties of the superfluid neutron star core. It was found also that the thermal energy losses from Cas A NS are approximately twice more intensive than it can be explained by the neutrino emission. We use these unique data and well-defined cooling scenario to estimate the strength of KSVZ axion interactions with neutrons. We speculate that enlarged energy losses occur owing to emission of axions from superfluid core of the neutron star. If the axion and neutrino losses are comparable we find $c_{n}^{2}m_{a}^{2}\sim 5.7\times 10^{-6}\,\text{eV}^2$, where $m_{a}$ is the axion mass, and $c_{n}$ is the effective Peccei-Quinn charge of the neutron. (Given the QCD uncertainties of the hadronic axion models, the dimensionless constant $c_{n}$ could range from $-0.05$ to $0.14$.)Comment: 10 pages, 1 figur

Nonlinear approach to the entrainment matrix of superfluid nucleon mixture at zero temperature

The superfluid drag effect, in hydrodynamics of pulsating neutron stars, is conventionally described with the aid of the entrainment matrix relating the mass currents with the velocities of superfluid flows in the system. Equations for the entrainment matrix of a superfluid mixture of neutrons and protons are derived with allowance for the strong dependence of the energy gaps on the velocities of superfluid flows. The calculations are carried out in the frame of the Fermi-liquid theory. The equations obtained are highly nonlinear. Numerical solutions to the equations for some typical cases demonstrate that the components of the entrainment matrix possess a highly nonlinear dependence on the velocities of the two superflows simultaneously. This effect, previously ignored, can greatly influence the dynamics of neutron stars.Comment: 14 pages, 5 figures, Accepted for publication in MNRA

The ground state and the character of the interaction between a colloidal particles in a liquid crystals

In this article is proposed the general approach to determination the character of the interaction between colloidal particles in a different liquid crystals. The main idea of this approach are in the presentation of the colloidal particle as sours of the possible deformation of the ground state of the director field. The ground state of liquid crystal imposes restrictions on the possible deformations and as result determine the character of the interaction between the colloidal particles. Based on this approach the Coulomb like interaction between dipole particles in a cholesteric liquid crystal and changing of the character of the interaction in a smactic liquid crystal has been predicted.Comment: 5page

Linear Statistics with Random Coefficients and Characterization of Hyperbolic Secant Distribution

There is given a characterization of hyperbolic secant distribution by the independence of linear forms with random coefficients. We provide a characterization by the identic distribution property. Keywords: hyperbolic secant distribution; characterization of distributions; linear forms; random coefficients

G-casual Stable Probability Distributions

A generalization of stable and casual stable probability distribution is proposed. The notion of \go G-casual stability can be used to introduce discrete analogues of stable distributions on the sent $\mathbb Z$ of integers. In contrary to limit definition of stable distributions on $\mathbb Z$ our has algebraic character. Examples of corresponding limit theorems are given. Keywords: stable distributions; casual stable distribution; discrete stable distributions; limit theorem