Status of Vepp-2000 BINP Electron–Positron Collider

Physics of Particles and Nuclei Letters - VEPP-2000 is the only electron–positron collider with round beams. This factor enables one to increase the beam–beam effect limit. During the...     

Lie–Poisson structures over differential algebras

Based on key elements of Olver’s approach to partial differential equations for Hamiltonian evolution, we propose an algebraic construction appropriate for Hamiltonian evolutionary systems with constraints.     

Binary relations,Bäcklund transformations,and wave packet propagation

Theoretical and Mathematical Physics - We propose a mathematical apparatus based on binary relations that expands the possibility of traditional analysis applied to problems in mathematical and...     

Cohomology of a Poisson Algebra

We propose a technique for calculating the cohomology of a Poisson algebra using the Laplace transformation of distributions with compact support. We find the lowest-order cohomologies of this algebra with coefficients in two natural representations: the trivial and the adjoint representations.     

Bäcklund correspondences for evolution equations in a multidimensional space

Our objective is to develop a calculation technique that allows performing an effective algebro-geometric (group) analysis of partial differential equations with arbitrarily many independent variables. We completely describe an important class of multidimensional evolution equations admitting Bäcklund correspondences of a given form. In particular, this class is found to be rather wide, although it turns out to be somewhat richer in the one-dimensional case because the requirement that mixed derivatives be equal is absent.     

On the theory of discharge in crossed fields

A model of a space charge layer that may form between cathode and anode plasmas in the presence of a transverse magnetic field is considered. Collisions are assumed not to affect the motion of electrons in the gas. It is shown that two solutions differing by cathode plasma parameters may take place. Conditions when the effect of collisions may be ignored are found.     

A study of light scattering of mononuclear blood cells with scanning flow cytometry

This study describes the measurement of light scattering of human mononuclear blood cells, the development of an appropriate optical model for those cells, and solution of the inverse light-scattering problem. The angular dependency of light-scattering intensity of mononuclear blood cells was experimentally measured by means of scanning flow cytometry. A sphere consisting of several concentric homogeneous layers with different refractive indices was tested as an optical model for mononuclear blood cells. A five-layer model has given the best agreement between experimental and theoretical light-scattering profiles. The inverse light-scattering problem was solved for a five-layer model with an optimization procedure that allows one to retrieve cell parameters: cell size relates to the outer diameter of the fifth layer; size of the nucleus relates to the outer diameter of the third layer. Mean values of cell size, nuclear size, refractive indices of nucleus and cellular cytoplasm were determined for blood monocytes and lymphocytes.