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Назив: Dynamical stability of the weakly nonharmonic propeller-shaped planar Brownian rotator
Аутори: Petrović, Ivica
Jeknić-Dugić J.
Arsenijević, Momir
Dugic, Miroljub
Датум издавања: 2020
Сажетак: © 2020 American Physical Society. Dynamical stability is a prerequisite for control and functioning of desired nanomachines. We utilize the Caldeira-Leggett master equation to investigate dynamical stability of molecular cogwheels modeled as a rigid, propeller-shaped planar rotator. To match certain expected realistic physical situations, we consider a weakly nonharmonic external potential for the rotator. Two methods for investigating stability are used. First, we employ a quantum-mechanical counterpart of the so-called first passage time method. Second, we investigate time dependence of the standard deviation of the rotator for both the angle and angular momentum quantum observables. A perturbationlike procedure is introduced and implemented to provide the closed set of differential equations for the moments. Extensive analysis is performed for different combinations of the values of system parameters. The two methods are, in a sense, mutually complementary. Appropriate for the short time behavior, the first passage time exhibits a numerically relevant dependence only on the damping factor as well as on the rotator size. However, the standard deviations for both the angle and angular momentum observables exhibit strong dependence on the parameter values for both short and long time intervals. Contrary to our expectations, the time decrease of the standard deviations is found for certain parameter regimes. In addition, for certain parameter regimes nonmonotonic dependence on the rotator size is observed for the standard deviations and for the damping of the oscillation amplitude. Hence, nonfulfillment of the classical expectation that the size of the rotator can be reduced to the inertia of the rotator. In effect, the task of designing the desired protocols for the proper control of the molecular rotations becomes an optimization problem that requires further technical elaboration.
URI: https://scidar.kg.ac.rs/handle/123456789/8251
Тип: article
DOI: 10.1103/PhysRevE.101.012105
ISSN: 2470-0045
SCOPUS: 2-s2.0-85078135740
Налази се у колекцијама:Faculty of Science, Kragujevac

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