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Process of phonon diffusion through crystalline structures

Proces difuzije fonona kroz kristalne strukture

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2017
768.pdf (603.6Kb)
Authors
Šetrajčić, Jovan P.
Jaćimovski, Stevo
Ilić, Dušan I.
Article (Published version)
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Abstract
Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-momentum Green’s functions will be used to calculate the diffusion tensor. These functions enter into Kubo’s formula defining diffusion properties of the system. Calculation of the diffusion tensor requires solving of the system of difference equations. It is shown that the elements of the diffusion tensor express discrete behaviour of the dispersion law of elementary excitations and, more important - that they are temperature independent.
Umesto uobičajenog pristupa, primenom Grinovih funkcija tipa pomeraj-pomeraj, tenzor difuzije izračunat je primenom Grinovih funkcija tipa impuls-impuls. Ove funkcije figurišu u Kubo formuli koja definiše difuzione osobine sistema. Izračunavanje tenzora difuzije zahteva rešavanje sistema diferencnih jednačina. U radu je pokazano da elementi tenzora difuzije ukazuju na diskretnost zakona disperzije elementarnih pobuđenja, i - što je još značajnije - ne zavise od temperature. Rezultati sprovedenih izračunavanja pokazali su da je tenzor difuzije fononskog podsistema u kristalnim strukturama dijagonalan i da svojstvene vrednosti imaju više vrednosti pri nižim frekvencijama. Navedeni zaključci su od velikog značaja, jer potvrđuju makroskopske teorije toplotnog provođenja koje tvrde da je koeficijent difuzije temperaturski invarijatan. Ova činjenica, kao i posledice koji iz nje mogu proizaći, imaju ogroman potencijalni značaj za primenu fononskog inženjeringa, prvenstveno kod savremenih nano...struktura.

Keywords:
crystalline structures / phonons / Green’s functions / diffusion tensor / kristalne strukture / fononi / Grinove funkcije / tenzor difuzije
Source:
Nauka, bezbednost, policija, 2017, 22, 2, 1-12
Publisher:
  • Kriminalističko- policijska akademija, Beograd
Projects:
  • Design and modeling of specific features of nanostructured samples (RS-171039)
  • Inovation of Forensic Methods and their Application (RS-34019)
  • Projekat Ministarstva nauke I tehnološkog razvoja Republike Srpske br. 19/6-020/961-16/15
  • br. 114-451-2092/2016

DOI: 10.5937/nabepo22-13580

ISSN: 0354-8872

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URI
http://jakov.kpu.edu.rs/handle/123456789/770
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  • Radovi istraživača / Researchers' publications
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Jakov

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