Bose-Einstein Correlations for Three-Dimensionally Expanding, Cylindrically Symmetric, Finite Systems

The parameters of the Bose-Einstein correlation function may obey an {\it $M_t$-scaling}, as observed in $S + Pb$ and $Pb + Pb$ reactions at CERN SPS. This $M_t$-scaling implies that the Bose-Einstein correlation functions view only a small part of the big and expanding system. The full sizes of the expanding system at the last interaction are shown to be measurable with the help the invariant momentum distribution of the emitted particles. A vanishing duration parameter can also be generated in the considered model-class with a specific $M_t$ dependence.Comment: 35 pages, ReVTeX, LaTeX, no figures, discussion extende

A new cross term in the two-particle Hanbury-Brown-Twiss correlation function

Using two specific models and a model-independent formalism, we show that in addition to the usual quadratic ``side'', ``out'' and ``longitudinal'' terms, a previously neglected ``out-longitudinal'' cross term arises naturally in the exponent of the two-particle correlator. Since its effects can be easily observed, such a term should be included in any experimental fits to correlation data. We also suggest a method of organizing correlation data using rapidity rather than longitudinal momentum differences since in the former every relevant quantity is longitudinally boost invariant.Comment: 11 pages, RevTeX 3.0 and 2 postscript figure

Sensitivity of HBT interferometry to the microscopic dynamics of freeze-out

We study the HBT interferometry of ultra-relativistic nuclear collisions using a freezeout model in which free pions emerge in the course of the last binary collisions in the hadron gas. We show that the HBT correlators of both identical and non-identical pions change with respect to the case of independent pion production. Practical consequences for the design of the event generator with the built in Bose-Einstein correlations are discussed. We argue that the scheme of inclusive measurement of the HBT correlation function does not require the symmetrization of the multi-pion transition amplitudes (wave-functions).Comment: 22 pages, 3 epsf figures, RevTe

Mathematical modeling of regional development indicators in a conceptual model for assessing the impact of the external environment on the regional socio-economic system

In the article the directions of expansion of the complex approach to the assessment of the influence of the external environment on the regional socio-economic system are considered. The authors propose an approach based on mathematical modeling of the main indicators of the development of the region. Empirical data for the development of models has become the departmental expenditure structure of the Bryansk region of the Department of Economic Development and the indicators presented for the development of the forecast of the socio-economic development of the Russian Federation for the period until 2019. When forming a model of indicators of socio-economic development of the region, approximating functions were obtained, limited by the range of specified values of departmental expenditures of the budget of the Bryansk region for 2012-2019. And acting as an interpolating relationship. For the optimal selection of the parameters of the equations, the method of least squares was used. Practical implementation of the conceptual model for assessing the impact of the external environment on the regional socio-economic system determines the need for its automation. The information advisory system developed on the basis of the presented model will allow to automate the process of supporting the adoption of the management decision. The obtained model for assessing the influence of the external environment on the regional socio-economic system is an information and analytical system for monitoring the regional situation as the basis for subsequent management decisions

Development of an information and consulting system for managing production processes

The features of the implementation of the information and advisory system for planning the main parameters of production processes are considered. In particular, mathematical models for calculating the optimal volume of production of gross output in physical terms and in value terms are presented. The implementation of the software subsystems for calculating the total cost of production by the matrix method and the subsystem for calculating the optimal production price per unit of output in the MATLAB environment is described. The developed mathematical models and subsystems of the software application have been tested using the example of a pulp and paper mill. As a tool for measuring the unit cost of a product (works, services), a matrix formula is proposed. The developed information and advisory system will allow to calculate the optimal volumes of gross production in physical terms, as well as the optimal norms of conditional-constant expenses by the most effective method of planning - the balance method