Fluid analysis of positrons in soft matter
Date
2011
Authors
Boyle, G J
White, Ronald Douglas
Robson, Robert
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Volume Title
Publisher
Institute of Physics Publishing
Abstract
Improvements to Positron Emission Tomography (PET) technology depend to a large extent on obtaining a better understanding of positron transport processes in soft condensed matter. The most economically computational, physically tenable method of carrying out such an investigation is the fluid approach, in which the Boltzmann kinetic equation is replaced by a hierarchy of low order, velocity moment equations, in which collision terms are approximated by extending 'momentum transfer theory' to allow for coherent scattering arising from the structure of the medium. We show how these fluid equations furnish structure-modifed versions of well known semi-empirical relations linking transport coefficients, and give numerical calculations for simple models.
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Keywords
Keywords: Boltzmann kinetic equations; Collision term; Fluid analysis; Fluid equations; Low order; Moment equations; Numerical calculation; Semiempirical relations; Soft condensed matters; Soft matter; Transport coefficient; Transport process; Boltzmann equation; C
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Journal of Physics: Conference Series
Type
Conference paper
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2037-12-31
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