Multicaloric effect in a piezoelectric layer

Changes in the temperatures and entropy of a piezoelectric layer under the electric field and stresses applied to its boundaries (a multicaloric effect) have been investigated. It has been shown that these changes are composed of three terms, which describe the electrocaloric, elastocaloric, and piezoelectrocaloric effects, respectively. If the influence of the strain gradient on the polarization is taken into account, one more term associated with the flexoelectrocaloric effect arises in the entropy change. The influence of the multicaloric effect on losses and motion of domain walls in ferroelectrics has been discussed.     

Sharpness of certain Campbell and Pommerenke estimates

The paper is concerned with the sharpness of some well-known estimates in universal linear-invariant families of regular functions. It is shown that the estimate of | arg ƒ′(z)|,z ∈ Δ = {z: |z| < 1} obtained by Pommerenke in 1964 is sharp; the extremal function is found. A lower estimate for the Schwarzian derivative in is obtained. For , a sharp estimate of order of the function ƒr(z)=ƒ(rz)/r withr ∈ (0, 1) is found; this estimate is applied to solve other problems. Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 665–672, May, 1998.     

Finitely valent locally biholomorphic mappings of multiconnected domains onto the plane

We give a final solution to the problem of the possibility of a finitely valent locally biholomorphic mapping from an arbitrary multiconnected domain on a complex plane onto the entire complex plane with the indication of the least valency constant.     

Global dynamics of the Kirschner–Panetta model for the tumor immunotherapy

In this paper we examine the global dynamics of the Kirschner–Panetta model describing the tumor immunotherapy. We give upper and lower ultimate bounds for densities of cell populations involved in this model. We demonstrate for this dynamics that there is a positively invariant polytope in the positive orthant. We present sufficient conditions on model parameters and treatment parameters under which all trajectories in the positive orthant tend to the tumor-free equilibrium point. We compare our results with Kirschner–Tsygvintsev results and concern biological implications of our assertions.     

Measurements of the two-neutron transfer reaction induced by a 6He radioactive beam

To estimate the probability of two-neutron configuration in halo nuclei, an experimental method for studying neutron-neutron correlations at the periphery of such nuclei by measuring the two-neutron transfer reaction is proposed. Experimental investigation of the ⁶He + A → ⁴He + B reaction was performed using a 60-MeV ⁶He radioactive beam at the Flerov Laboratory of Nuclear Reactions (Joint Institute for Nuclear Research, Dubna); the technique of nuclear photoemulsions was applied. Search for events of the two-nucleon transfer reaction was performed at the PAVIKOM setup (Lebedev Physical Institute, Russian Academy of Sciences).     

System for processing emulsion data of the OPERA experiment using the PAVICOM facility and prospects of its application to scan objects by muon radiography methods

The last data on the search results for neutrino oscillations in the OPERA experiment and the completed modernization of the PAVICOM facility (Lebedev Physical Institute) for automatic processing of nuclear emulsions of this experiment are presented. A new test application is developed for the PAVICOM to perform all stages of image processing. The application is tested using a GTX570 video card. The processing time for one frame is significantly reduced, which made it possible tomore than tenfold speed up processing. This is of crucial importance not only for prompt acquisition of statistically significant data of the OPERA experiment, but also for planned works on muon radiography.     

Influence of temperature gradients on the composition of crystallization products of ammonium chloroplatinum(IV) and chlorohodium(III) complex salts

The influence of temperature gradients on the particle size and component composition of solid phases in heterogeneous systems of ammonium chloroplatinum(IV) and chlorhodium(III) complex salts was studied. A Benard cell was implemented as applied to not only homogeneous but also heterogeneous systems. Two contributions to the cocrystallization of rhodium with platinum are distinguishable and kinetically resolved: the formation of nonequilibrium solid solutions by ammonium chlorometalates and equilibrium Ostwald ripening. The elucidation of both factors helps in finding crystallization parameters for minimizing the rhodium contamination of platinum in refining practice.     

Linearly Invariant Families of Holomorphic Mappings of a Ball. The Dimension Reduction Method

The notion of a linearly invariant family of mappings of a ball in C was introduced in the article ``Pfaltzgraff J. A., Distortion of locally biholomorphic maps of the n-ball, Complex Variables, 33, 239-253 (1997)'; it generalizes the classical case n=1 studied earlier by Ch. Pommerenke and other authors. In the indicated article, Pfaltzgraff in particular obtained and used a false equality (5.3). Application of this equality also underlies some assertions in other articles. Consequently, some theorems remain unproven. We propose the dimension reduction method which enables us to save the proof and obtain new results on linearly invariant families of mappings of a ball. The idea of the method is simple and consists in reduction of a problem posed for linearly invariant families in C ⁿ to a problem for the classical case of a disk (n=1).     

Formation of two-dimensional photonic-crystal structures in silicon for near-infrared region using fine focused ion beams

One of the two variants of producing two-dimensional photonic crystals in silicon is the formation of ordered macropore structures in a silicon substrate. The characteristic pore dimensions (the diameter and the wall thickness between pores) determine the wavelength range in which such a pore structure exhibits the properties of a photonic crystal. For the near-infrared region, these dimensions approach 1 μm or fall in a submicron region. An ordered structure of macropores with such dimensions is formed in this work using fine focused ion beams to provide the stimulating effect of implanted ions on pore nucleation in given sites on the silicon substrate surface. Pores are shown to nucleate at sites subjected to ion irradiation even at a low implantation dose (2×10¹³ ion/cm²). A model describing the orienting effect of ion irradiation on pore nucleation is proposed. __________ Translated from Fizika Tverdogo Tela, Vol. 46, No. 1, 2004, pp. 35–38. Original Russian Text Copyright ? 2004 by Vyatkin, Gavrilin, Gorbatov, Starkov, Sirotkin.