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Uloga veličine i oblika molekulskih propelera u njihovoj dinamičnoj stabilnosti u modelu kvantnog Braunovog rotatora

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2021
Petrovic_Igor_S.pdf (354.5Kb)
Doctoral_thesis_12923.pdf (2.992Mb)
Author
Petrović, Igor
Mentor
Jeknić-Dugić, Jasmina
Committee members
Đorđević, Goran
Nešić, Ljubiša
Pantić, Milan
Arsenijević, Momir
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Abstract
The subject of this doctoral dissertation research is the rotational dynamics of molecules of a specific shape, the so-called molecular propellers. The main task of the dissertation is to consider the influence of the size and shape of the mentioned molecules upon their dynamic stability. The model used is based on the application of the theory of open quantum systems and the master equations of Caldeira and Leget, as a quantum model of Brownian motion. The size of molecular propellers was introduced into the model through the dependence of the moment of inertia and the strength of the interaction with the environment on the number of blades. Dynamic stability is examined by analysis of standard deviations of the angle and momentum and by the method of quantum first time passage. The obtained results indicate a strict and complex dependence of dynamic stability on the number of blades, temperature and strength of interaction with the environment. The results also show tha...t to achieve the desired level of dynamic stability, it is not possible to apply simple rules but a combination of different stability criteria and a procedure similar to engineering optimization is necessary.

Faculty:
Универзитет у Нишу, Природно-математички факултет
Date:
2021
Keywords:
Braunovo kretanje, dekoherencija, otvoreni kvantni sistemi, prelaz iz kvantnog u klasično, uticaj veličine i oblika, dinamička stabilnost molekulskih propelera / Brownian motion, decoherence, open quantum systems, transition from quantum to classical, influence of size and shape, dynamic stability of molecular propellers
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Handle
https://hdl.handle.net/21.15107/rcub_nardus_21020
URI
http://eteze.ni.ac.rs/application/showtheses?thesesId=8526
https://fedorani.ni.ac.rs/fedora/get/o:1794/bdef:Content/download
https://plus.cobiss.net/cobiss/sr/sr/bib/49602313
https://nardus.mpn.gov.rs/handle/123456789/21020

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