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
讲座地点 教二南楼304
讲座人 Francesco Mainardi
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.
 

讲座人介绍

意大利博洛尼亚大学物理系教授。1966年获得博洛尼亚大学理论物理硕士,1971年获得博洛尼亚大学高等物理学院学位证书。 1971年任意大利安科纳大学讲师,1973年加入意大利博洛尼亚大学。主要研究领域涉及:特殊函数和分数阶微积分,线形粘弹介质;波传播和扩散的数学描述;统计物理中的随机模型;电介质的介电弛豫理论。曼纳尔迪教授在这些领域发表了一百多篇论文,出版专著5部。担任多家国际期刊杂志编委,以及相关国际学术会议的组委。

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