Annual Report 2004
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Together with seven institutes of Russia (IHEP, IMPB RAS, ITEP, KIAM RAS, PNPI RAS, RRC KI, and SINP-MSU), JINR participates in the EGEE (Enabling Grids for E-sciencE) project (leaded by CERN) which was started on 1 April 2004. In the framework of this work the first prototype for resource centre at JINR was installed and is working now. The farm consists of 20 CPUs; the LCG-2 software was installed. The site JINR LCG-2 is included in the GOC Grid monitoring (http://goc.grid.sinica.edu.tw/gstat/lcgce01.jinr.ru/). The JINR LCG-2 site was actively used by some LHC experiments for testing and data production.
In cooperation with the Technical University of Cosice (Slovak Republic) and the Laboratory of Computing and Statistic Physics (Academia Sinica, Taiwan), research was in progress on mathematical simulation of formation of 3D protein structures. In order to study the thermodynamic properties and 3D structures of macromolecules of a protein type, an effective algorithm is required for computing the solvent accessible surface area and the volume of macromolecules deposited in solvent. A method of constructing a special closed surface area made of triangles that allows one to determine if the given point is inside the molecule or else outside of it has been developed. A new analytic method earlier proposed for finding the macromolecules' square and volume, was adapted for calculation with accounting a possible existence of intramolecular cavities .
In the framework of an agreement concluded between JINR and the University of Cape Town, the particle-like excitations of nonlinear damped systems in various models of condensed matter and nonlinear optics have been studied. Theoretical and numerical investigation of traveling solutions in the damped driven nonlinear Schr odinger equation has been performed. This equation has a number of applications in the fluid dynamics models, nonlinear optics, ferromagnet theory, etc. New classes of soliton solutions of NLS equation have been analyzed for the cases of parametric and external driving .
In cooperation with the International Solvay Institute for Physics and Chemistry (Brussels, Belgium) the Department of Mathematics of Aristoteles University (Thessaloniki, Greece), and Moscow Engineering and Physical Institute (Moscow, Russia), the approach for efficient resources distribution in economics based on entropy has been investigated. The scheme developed in previous work on the efficient resources distribution in economic systems with a small number of elements based on entropy was generalized. In order to take into account the asymmetric resources distribution, a new set of two-parameter interpolating functions was introduced. It is demonstrated that the maximal value of entropy is reached only in case of asymmetric distribution of resources. First results on application of the generalized approach to the analysis of incomes distribution for Sweden and Russia populations have shown that the new scheme allows efficient estimation of the state of the analyzed system and control over the resources distribution process .
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