ISSN:
1435-1528
Keywords:
Rheological models
;
viscoelasticity
;
fractional differentiation
;
non-Debye relaxation
;
thermo-rheological simplicity
;
projection operator
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
,
Physics
Notes:
Abstract Relaxation processes in complex systems like polymers or other viscoelastic materials can be described by equations containing fractional differential or integral operators. In order to give a physical motivation for fractional order equations, the fractional relaxation is discussed in the framework of statistical mechanics. We show that fractional relaxation represents a special type of a non-Markovian process. Assuming a separation condition and the validity of the thermo-rheological principle, stating that a change of the temperature only influences the time scale but not the rheological functional form, it is shown that a fractional operator equation for the underlying relaxation process results.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00366960
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