Electron Mass Operator in a Strong Magnetic Field and Dynamical Chiral Symmetry Breaking

The electron mass operator in a strong magnetic field is calculated. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation. The effect of the electron dynamical mass generation by a magnetic field is investigated. In a model with N charged fermions, it is shown that some critical number N_{cr} exists for any value of the electromagnetic coupling constant alpha, such that the fermion dynamical mass is generated with a doublet splitting for N < N_{cr}, and the dynamical mass does not arise at all for N > N_{cr}, thus leaving the chiral symmetry unbroken.Comment: 4 pages, REVTEX4, 3 figure

On gravitational flow in the Relativistic Theory of Gravitation

A definition of the gravitational flow and a short description of the recipe of its calculation are presented.Comment: 6 page

Electron mass operator in a strong magnetic field

The electron mass operator in a strong magnetic field is calculated by summation of the leading log contributions in all orders of the perturbation theory. An influence of the strong field on the virtual photon polarization operator is taken into account. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation.Comment: 7 pages, LATEX, 1 PS figure, submitted to Modern Physics Letters

Analysis of patterns formed by two-component diffusion limited aggregation

We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The particles aggregate on a linear substrate which consists of periodically or randomly placed particles of different kinds. We analyze the influence of initial patterns on the structure of growing clusters. It is shown that at small distances from the substrate, the cluster structures repeat initial patterns. However, starting from a critical distance the initial periodicity is abruptly lost, and the particle distribution tends to a random one. An approach describing the evolution of the number of branches is proposed. Our calculations show that the initial patter can be detected only at the distance which is not larger than approximately one and a half of the characteristic pattern size.Comment: Accepted for publication in Physical Review

Diagnosing magnetars with transient cooling

Transient X-ray emission, with an approximate t^{-0.7} decay, was observed from SGR 1900+14 over 40 days following the the giant flare of 27 Aug 1998. We calculate in detail the diffusion of heat to the surface of a neutron star through an intense 10^{14}-10^{15} G magnetic field, following the release of magnetic energy in its outer layers. We show that the power law index, the fraction of burst energy in the afterglow, and the return to persistent emission can all be understood if the star is composed of normal baryonic material.Comment: 9 pages, 1 eps figur

The impact of obesity on the structure of osteoarthrosis of large joints of the lower limb.

The prevalence of osteoarthrosis (OA) among adults over 40 years is taking one of the leading places in the common structure of joint pathology. Obesity – is of the comorbidities associated with OA, one of the risk factors of development and progression of OA. The aim of this study was to evaluate the influence of obesity on the structure of knee and hip OA on the stage of total joint replacement, depending on the patient`s gender, age and degree of obesity. The study involved 170 inpatient case histories of patients with OA undergoing treatment in the department of  large joints replacement (64 men and 106 women): 95 patients with OA of hip joint and 75 – with OA of knee joint, among whom there were 110 patients with obesity and 60 – without it. The middle age of the patients was by 63,8±7,69 years. High prevalence of obesity among patients with OA of knee and hip joints was found, with significant higher number of obese patients with OA of knee joint and among female patients. It has been demonstrated a significant increase in the frequency of total knee joint replacement associated with the increase of body mass index among patients with OA of knee joint. The presence of obesity was associated with earlier terms of the total joint replacement performing, especially among male patients