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- Aggarwal, MM, et al.
(author)
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Event-by-event fluctuations in particle multiplicities and transverse energy produced in 158A GeVPb plus Pb collisions
- 2002
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In: Physical Review C (Nuclear Physics). - 0556-2813. ; 65:5
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Journal article (peer-reviewed)abstract
- Event-by-event fluctuations in the multiplicities of charged particles and photons, and the total transverse energy in 158A GeV Pb+Pb collisions are studied for a wide range of centralities. For narrow centrality bins the multiplicity and transverse energy distributions are found to be near perfect Gaussians. The effect of detector acceptance on the multiplicity fluctuations has been studied and demonstrated to follow statistical considerations. The centrality dependence of the charged particle multiplicity fluctuations in the measured data has been found to agree reasonably well with those obtained from a participant model. However, for photons the multiplicity fluctuations have been found to be lower compared to those obtained from a participant model. The multiplicity and transverse energy fluctuations have also been compared to those obtained from the VENUS event generator.
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- Bhikkaji, B, et al.
(author)
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Reduced order models for a two-dimensional heat diffusion system
- 2003
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Reports (other academic/artistic)abstract
- In this paper, a two-dimensional heat diffusion system, which is modeled by a partial differential equation (PDE) is considered. Finite order approximations, for the infinite order PDE model, are constructed first by a direct application of the standard finite difference approximation (FD) scheme. Using tools of linear algebra, the constructed FD approximate models are reduced to computationally simpler models without any loss of accuracy. Further, the reduced approximate models are modified by replacing its poles with their respective asymptotic limits. Numerical experiments suggest that the proposed modifications improve the accuracy of the approximate models.
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- Bhikkaji, B, et al.
(author)
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Reduced order models for diffusion systems
- 2001
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In: INTERNATIONAL JOURNAL OF CONTROL. - 0020-7179. ; 74:15, s. 1543-1557
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Journal article (peer-reviewed)abstract
- Mathematical models for diffusion processes like heat propagation, dispersion of pollutants, etc. are normally partial differential equations which involve certain unknown parameters. To use these mathematical models as substitutes of the true system, one
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