Replica Symmetry Breaking in an Axial Model of Quadrupolar Glass

We investigate the replica symmetry breaking (RSB) in a neighborhood of the instability point of the replica-symmetric solution in the axial quadrupolar glass model. We show that the solution with the first-stage RSB is stable against the subsequent RSB. Although there is no reflection symmetry, the first-stage RSB solution continuously bifurcates from the replica-symmetric one. This implies that our model does not belong to either of the two classes into which spin glasses are usually divided.     

Organophosphorus polymers

Summary The transesterification of some dialkyl alkylphosphonates with diethylene glycol, 1,6-hexanediol, and 1,20eicosanediol was investigated.     

On the statistics of ray-tube divergence and wave multirayness in a randomly inhomogeneous medium

A solution of the problem of ray diffusion in a randomly inhomogeneous medium is used to find the statistical properties of multiray fields. The longitudinal-coordinate dependence for the average ray number and the Lagrangian mean-square ray-tube divergence, which is related to the Eulerian mean of a quantity which is inversely proportional to intensity, is obtained.Nizhnii Novgorod Academy of Architecture and Civil Engineering. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 37, No. 3, pp. 323–329, March, 1994.     

Behavior of antifrictional self-lubricating plastics at elevated temperatures in the friction process

Conclusions 1. The process of friction of antifrictional self-lubricating plastics based on F-1 polyarylate and various fillers has been studied. It has been shown that a distinctive feature of this process is the formation of a film of the same composition as that of the antifrictional plastic on the steel surface.2. It has been shown that during the process of friction of antifrictional self-lubricating plastics both structural changes in the mobybdenum disulfide and also tribochemical transformations of molybdenum disulfide and copper, plus reaction of these with the counterbody material, take place in the surface films.3. It has been found that the nature of the tribochemical transformations depends on the chemical composition of the antifrictional self-lubricating plastic and affects the temperature limits of the friction zones.Institute of Heteroorganic Compounds, Academy of Sciences of the USSR, Moscow. Translated from Mekhanika Polimerov, No. 4, pp. 649–657, July–August, 1976.     

Investigation of the physicochemical processes associated with the friction of antifriction materials

Certain physicochemical processes associated with the friction of model antifriction materials based on stiff-chain polymers are examined. The effect of the ambient medium, temperature and the composition of the model antifriction material on the nature of these processes is demonstrated.Institute of Electro-Organic Compounds, Academy of Sciences of the USSR, Moscow. Translated from Mekhanika Polimerov, No. 4, pp. 634–640, July–August, 1974.     

Torsion of a circular cylinder weakened by a cylindrical crack

Leningrad Wood Technology Academy. Translated from Prikladnaya Mekhanika, Vol. 25, No. 3, pp. 11–14, March, 1989.     

On the relationship between the eulerian and lagrangian statistics of a brownian particle

Statistics of particles (smoke aerosol in the atmosphere) reaching a prescribed spatial region are analyzed. The effects of both regular and random forces acting on the particles are taken into account. A method is proposed for calculating the probability distributions of various quantities (time required to reach a prescribed location, particle velocity in its vicinity, etc.), and its scope is determined as depending on the parameters of the problem.     

Behavior of heated particle gas and light-wave diffraction by phase screen in warm-ray model

On the basis of the analogy between the density evolution of a heated gas of noninteracting particles and the diffraction of monochromatic optical waves by a random phase screen, a formula is derived for the correlation function of intensity fluctuations behind the screen. A hypothesis on the statistical splitting of the geometric and diffraction means allows the multiplicity of the integral that determines this function to be reduced by half.     

Correlation function for intensity fluctuations in fractal randomly inhomogeneous medium

Ray-diffusion equations are used to find an expression for an intensity-fluctuation correlation function. The solution is self-similar, which indicates an absence of field caustics in a fractal randomly inhomogeneous medium.Nizhni Novgorod Institute of Architecture and Civil Engineering. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 6, pp. 493–497, June, 1993.