Journal Article

PreJuSER-1954

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Logarithmic moments of relaxation time distributions

Zorn, R.FZJ*

2002
American Institute of Physics Melville, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/1261  doi:10.1063/1.1446035

Abstract: In this paper a novel way to quantify "nonexponential" relaxations is described. So far, this has been done in two ways: (1) by fitting empirical functions with a small number of parameters, (2) by calculation of the underlying distribution function g(ln tau) of (exponential) relaxations using regularization methods. The method described here is intermediate, it does not assume a specific functional form but also does not aim at the complete distribution g(ln tau) but only its logarithmic moments <(ln tau)(k)>. It is shown that these exist (in contrast to the linear moments) and can be calculated analytically for all currently used empirical descriptions of nonexponential relaxations. Therefore, the logarithmic moments represent a common basis for comparing literature data from authors which prefer different empirical formulas (e.g., those of Kohlrausch and Havriliak-Negami). The logarithmic moments are also shown to be related in a simple way to the (linear) moments of an underlying distribution of activation energies giving them a physical significance. (C) 2002 American Institute of Physics.

Keyword(s): J

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Neutronenstreuung (IFF-NST)

Research Program(s):

1. Kondensierte Materie (M02)

Appears in the scientific report 2002
Notes: This version is available at the following Publisher URL: http://jcp.aip.org

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