Cauchy Modeling as a New Trend in Research of Fullerene- Type Nanomaterials

 

Abstract

In the work, based on the analysis of heat and gas with acoustic phonons by fullerene, the physical criterion Cauchy is the kind of thermal strength before spring strain, which is caused by the nanotube fullerene

Keywords: Thermal Conductivity; Fullerene; Optimization; Numbers Similarity Numbers

Introduction

Studies of the thermal conductivity of structured nano systems draw attention to the fact that in micro- and nanoelectronics the urgent task of heat dissipation released during the operation of electrical elements [1-6]. So, in the process of electrical switching of the element energy is consumed which is on the verge of thermal fluctuations This means that a billion (109) transistor chip uses order energy in a single act 10^-3J. Then, in order of speed 1GHz , the energy consumed can reach values far exceeding the power of a jogging electric kettle

In order to remove Joule-Lenz heat in electric nanoelements, both microchannels with liquid carriers of heat and conductive elements, such as nanocomposite ceramics filled with carbon nanotubes, can be used, which, depending on their chiral characteristics, can alter the physical properties of nano cells. Thus, it was established [9-12] and confirmed by theoretical estimates [13,14] that the thermal conductivity at room temperature of a carbon nanotube can reach values of which significantly exceeds the thermal conductivity of diamon which was considered one of the best heat conductors. Carbon nanotubes are thermally stable, characterized by high electrical conductivity [10], high electron mobility [11], and a large specific surface value [15]. It is believed [16] that the abnormally high thermal conductivity of carbon nanotubes is due to their regular structure and the small number of defects and impurity centers in them. In the elementary cell of graphene there are two carbon atoms, so the dispersion spectrum consists of three optical and three acoustic branches, among which the longitudinal and transverse acoustic modes correspond to the speed of sound 2130 and 1360 M/s

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