Uloga veličine i oblika molekulskih propelera u njihovoj dinamičnoj stabilnosti u modelu kvantnog Braunovog rotatora
Author
Petrović, IgorMentor
Jeknić-Dugić, JasminaCommittee members
Đorđević, GoranNešić, Ljubiša

Pantić, Milan
Arsenijević, Momir
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Show full item recordAbstract
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.