7,175 research outputs found
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 , where is the axion mass, and
is the effective Peccei-Quinn charge of the neutron. (Given the QCD
uncertainties of the hadronic axion models, the dimensionless constant
could range from to .)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 of integers.
In contrary to limit definition of stable distributions on our has
algebraic character. Examples of corresponding limit theorems are given.
Keywords: stable distributions; casual stable distribution; discrete stable
distributions; limit theorem
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