ON THE HEAT TRANSFER OF HOLOGRAPHIC TYPE IN NANOSTRUCTURES

被引：0

作者：

Petrescu, Tudor-Cristian ^{[1
]}

Paun, Maria-Alexandra ^{[2
]}

Mihai, Petru ^{[3
]}

Irimiciuc, Stefan-Andrei ^{[4
]}

Paun, Vladimir-Alexandru ^{[5
]}

Agop, Maricel ^{[6
,7
]}

机构：

[1] Gheorghe Asachi Tech Univ, Dept Struct Mech, Blvd Prof Dr Docent Dimitrie Mangeron 1, Iasi 700050, Romania

[2] Swiss Fed Inst Technol EPFL, Sch Engn, Lausanne, Switzerland

[3] Gheorghe Asachi Tech Univ, Dept Concrete Mat Technol & Management, Blvd Prof Dr Docent Dimitrie Mangeron 1, Iasi 700050, Romania

[4] Natl Inst Laser Plasma & Radiat Phys, Str Atomistilor 409, Bucharest 077125, Romania

[5] Five Rescue Res Lab, Paris, France

[6] Gheorghe Asachi Tech Univ, Phys Dept, Blvd Prof Dr Docent Dimitrie Mangeron 59A, Iasi 700050, Romania

[7] Acad Romanian Scientists, Splaiul Independentei 54,Sect 5, Bucharest 050094, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 02期

关键词：

fractal theory of motion; groupal invariances of SL(2R); type; heat; transfer at various scale resolutions; INVARIANCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assimilating any nanostructure with a fractal, in the most general Mandelbrot's sense, non - differentiable behaviors in their dynamics on the heat transfer phenomena are analyzed. As such, nanostructure dynamics on the heat transfer in the form of Schrodinger - type various regimes imply "holographic implementation" of the thermal fields through groupal invariance of SL(2R) type. Then, by means of previous groupal invariance as synchronization group between any nanostructure entities, both the phases and the amplitudes of the entities are affected from a homographic perspective. In a special case of synchronization of nanostructure entities, given by Riccati type gauge, period doubling, damping oscillations, self - modulation and chaotic regimes emerge as natural behaviors in the nanostructure dynamics of the heat transfer processes. The present model can also be applied to a large class of nanostructures (i.e. polymeric biocomposites, "liquid wood", temperature - depending drug release systems etc.).

引用

页码：251 / 262

页数：12

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