1997•Physics of the Solid StateRequires access

Cole-Davidson dielectric relaxation as a self-similar relaxation process

Р. Р. Нигматуллин, Ya. E. Ryabov

Abstract

An effort has been undertaken to understand the nature of one type of non-exponential relaxation, namely Cole-Davidson relaxation. Toward this end, a model of relaxation as a self-similar process is proposed. An equation containing operators of fractional integration and differentiation is obtained and solved, which the relaxation function obeys in this case.

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Key concepts: Relaxation (psychology), Cole–Cole equation, Dielectric, Exponential function, Function (biology), Statistical physics, Solid-state physics, Materials science