粘弹介质和电介质的完全单调性与Bernstein函数
讲座名称：
粘弹介质和电介质的完全单调性与Bernstein函数
讲座时间：
2012-05-11
讲座人：
Francesco Mainardi
形式：
校区：
兴庆校区
实践学分：
讲座内容：
Completely monotone and Bernstein functions for linear viscoelastic and dielectric materials
Francesco MAINARDI
Department of Physics, University of Bologna, and INFN
francesco.mainardi@unibo.it; francesco.mainardi@bo.infn.it
In view of the electro-mechanical analogy, linear viscoelastic and dielectric materials exhibit similar features as far as the time-dependent response functions are concerned. As a common characteristic, the relaxation functions are completely monotone (CM) whereas the creep functions are of Bernstein type. This means that these response functions are represented by discrete or continuous distributions of elementary (i.e. exponential) relaxation and creep processes via spectra of relaxation and retardation times of physical relevance. In this talk we will discuss some interesting examples of relaxation and creep phenomena occurring in viscoelastic or dielectric materials, which are described by special CM and Bernstein functions, which turn out to be of Mittag-Leffler, stretched exponential, logarithmic and power law type.
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