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The maximum entropy method and relaxation for multiple collisions involving highly charged ions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
1996 (English)In: International Journal of Quantum Chemistry, ISSN 0020-7608, Vol. 58, no 6, 689-698 p.Article in journal (Refereed) Published
Abstract [en]

Advantages and disadvantages of the maximum entropy method (MEM) in application to the theory of relaxation are studied. The time evolution of distributions and of associated moments must obey stringent conditions for both finite and infinite intervals. The theoretical considerations are illustrated with examples from charge-state distributions arising in beam-foil spectroscopy. The examples indicate that the possibility to include more than two moments (extension to non-Gaussian case) is severely limited (though feasible) in the static case due to nonpositive definiteness as well as stiffness of the Hessian matrices appearing in the computations. This takes place already for the finite charge-state distribution intervals. For infinite intervals, this is a severe problem as required by the Marcinkiewicz theorem, affecting characteristic functions and, hence, the description of the time evolution of distributions.

Place, publisher, year, edition, pages
Wiley , 1996. Vol. 58, no 6, 689-698 p.
Keyword [en]
Maximum Entropy Method
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:miun:diva-1485DOI: 10.1002/(SICI)1097-461X(1996)58:6<689::AID-QUA11>3.0.CO;2-TLocal ID: 163OAI: oai:DiVA.org:miun-1485DiVA: diva2:26517
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-01-10Bibliographically approved

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CiteExportLink to record
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