Title
Uloga veličine i oblika molekulskih propelera u njihovoj dinamičnoj stabilnosti u modelu kvantnog Braunovog rotatora
Creator
Petrović, Igor, 1972-
CONOR:
75789321
Copyright date
2021
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane:
Other responsibilities
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Prirodno-matematički fakultet
Group
Odsek za fiziku
Alternative title
The role of size and shape of molecular propellers in their dynamic stability in a quantum brown rotator model
: doctoral dissertation
Publisher
[I. S. Petrovic]
Format
214 listova
description
Biografija autora sa bibliografijom: list. 211;
Bibliografija: listovi: 207-210.
description
Quantum mechanics
Abstract (en)
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 that 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.
Authors Key words
Braunovo kretanje, dekoherencija, otvoreni kvantni sistemi,
prelaz iz kvantnog u klasično, uticaj veličine i oblika,
dinamička stabilnost molekulskih propelera
Authors Key words
Brownian motion, decoherence, open quantum systems, transition
from quantum to classical, influence of size and shape, dynamic
stability of molecular propellers
Classification
539.194(043.3)
Subject
P 190
Type
Tekst
Abstract (en)
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 that 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.
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