233 research outputs found
Anomalous Diffusion in Velocity Space
The problem of anomalous diffusion in the momentum space is considered on the
basis of the appropriate probability transition function (PTF). New general
equation for description of the diffusion of heavy particles in the gas of the
light particles is formulated on basis of the new approach similar to one in
coordinate space (S. Trigger et al.). The obtained results permit to describe
the various situations when the probability transition function (PTF) has a
long tail in the momentum space. The effective friction and diffusion
coefficients are found.Comment: 11 pages, no figures and table
Relaxation Properties of Small-World Networks
Recently, Watts and Strogatz introduced the so-called small-world networks in
order to describe systems which combine simultaneously properties of regular
and of random lattices. In this work we study diffusion processes defined on
such structures by considering explicitly the probability for a random walker
to be present at the origin. The results are intermediate between the
corresponding ones for fractals and for Cayley trees.Comment: 16 pages, 6 figure
Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems
The renormalization-group (RG) functions for the three-dimensional n-vector
cubic model are calculated in the five-loop approximation. High-precision
numerical estimates for the asymptotic critical exponents of the
three-dimensional impure Ising systems are extracted from the five-loop RG
series by means of the Pade-Borel-Leroy resummation under n = 0. These
exponents are found to be: \gamma = 1.325 +/- 0.003, \eta = 0.025 +/- 0.01, \nu
= 0.671 +/- 0.005, \alpha = - 0.0125 +/- 0.008, \beta = 0.344 +/- 0.006. For
the correction-to-scaling exponent, the less accurate estimate \omega = 0.32
+/- 0.06 is obtained.Comment: 11 pages, LaTeX, no figures, published versio
Velocity-Dependent Friction and Diffusion for Grains in Neutral Gases, Dusty Plasmas and Active Systems
A self-consistent and universal description of friction and diffusion for
Brownian particles (grains) in different systems, as a gas with Boltzmann
collisions, dusty plasma with ion absorption by grains, and for active
particles (e.g., cells in biological systems) is suggested on the basis of the
appropriate Fokker-Planck equation. Restrictions for application of the
Fokker-Planck equation to the problem of velocity-dependent friction and
diffusion coefficients are found. General description for this coefficient is
formulated on the basis of master equation. Relation of the diffusion
coefficient in the coordinate and velocity spaces is found for active (capable
to transfer momentum to the ambient media) and passive particles in the
framework of the Fokker-Planck equation.
The problem of anomalous space diffusion is formulated on the basis of the
appropriate probability transition (PT) function. The method of partial
differentiation is avoided to construct the correct probability distributions
for arbitrary distances, what is important for applications to different
stochastic problems. Generale equation for time-dependent PT function is
formulated and discussed.
Generalized friction in the velocity space is determined and applied to
describe the friction force itself as well as the drag force in the case of a
non-zero driven ion velocity in plasmas. The negative friction due to ion
scattering on grains exists and can be realized for the appropriate
experimental conditions.Comment: 21 page
Five-loop \sqrt\epsilon-expansions for random Ising model and marginal spin dimensionality for cubic systems
The \sqrt\epsilon-expansions for critical exponents of the weakly-disordered
Ising model are calculated up to the five-loop order and found to possess
coefficients with irregular signs and values. The estimate n_c = 2.855 for the
marginal spin dimensionality of the cubic model is obtained by the Pade-Borel
resummation of corresponding five-loop \epsilon-expansion.Comment: 9 pages, TeX, no figure
К вопросу о биотерроризме и биобезопасности
The article offers a brief discussion of biosecurity and bioterrorism policy issues that are directly connected with genetics value determinants, responsibility and outlook of scientist engaged in biotechnology and nanotechnology and also with the problems of nanostructures used when creating genetically modified organisms and products.В статье предлагается рассмотреть вопросы биобезопасности и биотерроризма, что непосредственно связано с ценностными детерминантами генетики, мировоззрением и ответственностью ученого, занимающегося биотехнологиями, нанотехнологиями, а также вопросами применения наноструктур при создании генетически модифицированных организмов и продуктов
Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering
The fixed point that governs the critical behavior of magnets described by
the -vector chiral model under the physical values of () is
shown to be a stable focus both in two and three dimensions. Robust evidence in
favor of this conclusion is obtained within the five-loop and six-loop
renormalization-group analysis in fixed dimension. The spiral-like approach of
the chiral fixed point results in unusual crossover and near-critical regimes
that may imitate varying critical exponents seen in physical and computer
experiments.Comment: 4 pages, 5 figures. Discussion enlarge
Carbon Nanomaterial Produced by Microwave Exfoliation of Graphite Oxide
Carbon-based graphene-like material was obtained through microwave stimulated exfoliation of graph-ite oxide (GO). Properties of this material were investigated by multiple techniques including element analysis, X-ray photoelectron spectroscopy (XPS), mass-spectroscopy, infrared (IR) and Raman spectrosco-py, scanning electron microscopy (SEM) and broadband dielectric spectroscopy. Specific surface area and volume of microwave exfoliated graphite oxide (MEGO) reached 600 m2/g and 6 cm3/g, respectively. It is shown that during such explosive reduction process the sample emits CO2, CO and H2O and, in some cases, SO2 gases. The resulting reduced material exhibits IR spectra similar to that of graphite and a dc-conductivity of 0.12 S/cm. It is also shown that prolonged storage in ambient conditions leads to elevated oxygen content and decrease of specific surface area of the samples.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3511
Configuration Of Grafted Polystyrene Chains In The Melt: Temperature And Concentration Dependence
The concentration profiles of carboxy-terminated polystyrene chains in the melt grafted onto oxide-covered silicon substrates were measured using secondary-ion mass spectroscopy. The grafting density increased with temperature and an enthalpy of +7.4 kcal/mole was deduced for the grafting reaction, SiOH + R(COOH) ⇄ R(COOSi) + H2O. Relatively high grafting densities (σ∼6.6·mg/m2) were achieved with minimal chain distortion or displacement of long chains by shorter ones. Significant stretching of the grafted chains occurred for σ > 10 mg/m2. An equilibrium constant for the grafting reaction incorporating entropy is discussed.69577677
- …