Vortex dynamics and their interactions in quantum trajectories

Vortices are known to play a key role in many important processes in physics and chemistry. Here, we study vortices in connection with the quantum trajectories that can be defined in the framework provided by the de Broglie-Bohm formalism of quantum mechanics. In a previous work, it was shown that t...

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Autores principales: Wisniacki, Diego A., Pujals, Enrique
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v40_n48_p14353_Wisniacki
http://hdl.handle.net/20.500.12110/paper_17518113_v40_n48_p14353_Wisniacki
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_17518113_v40_n48_p14353_Wisniacki
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spelling paper:paper_17518113_v40_n48_p14353_Wisniacki2025-07-30T19:04:18Z Vortex dynamics and their interactions in quantum trajectories Wisniacki, Diego A. Pujals, Enrique Vortices are known to play a key role in many important processes in physics and chemistry. Here, we study vortices in connection with the quantum trajectories that can be defined in the framework provided by the de Broglie-Bohm formalism of quantum mechanics. In a previous work, it was shown that the presence of a single moving vortex is enough to induce chaos in these trajectories. Here, this situation is explored in more detail by discussing the relationship between Lyapunov exponents and the parameters characterizing the vortex dynamics. We also consider the issue when more than one vortex exists. In this case, the interaction among them can annihilate or create pairs of vortices with opposite vorticity. This phenomenon is analyzed from a dynamical point of view, showing how the size of the regular regions in phase space grows, as vortices disappear. © 2007 IOP Publishing Ltd. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pujals, E.R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v40_n48_p14353_Wisniacki http://hdl.handle.net/20.500.12110/paper_17518113_v40_n48_p14353_Wisniacki
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Vortices are known to play a key role in many important processes in physics and chemistry. Here, we study vortices in connection with the quantum trajectories that can be defined in the framework provided by the de Broglie-Bohm formalism of quantum mechanics. In a previous work, it was shown that the presence of a single moving vortex is enough to induce chaos in these trajectories. Here, this situation is explored in more detail by discussing the relationship between Lyapunov exponents and the parameters characterizing the vortex dynamics. We also consider the issue when more than one vortex exists. In this case, the interaction among them can annihilate or create pairs of vortices with opposite vorticity. This phenomenon is analyzed from a dynamical point of view, showing how the size of the regular regions in phase space grows, as vortices disappear. © 2007 IOP Publishing Ltd.
author Wisniacki, Diego A.
Pujals, Enrique
spellingShingle Wisniacki, Diego A.
Pujals, Enrique
Vortex dynamics and their interactions in quantum trajectories
author_facet Wisniacki, Diego A.
Pujals, Enrique
author_sort Wisniacki, Diego A.
title Vortex dynamics and their interactions in quantum trajectories
title_short Vortex dynamics and their interactions in quantum trajectories
title_full Vortex dynamics and their interactions in quantum trajectories
title_fullStr Vortex dynamics and their interactions in quantum trajectories
title_full_unstemmed Vortex dynamics and their interactions in quantum trajectories
title_sort vortex dynamics and their interactions in quantum trajectories
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v40_n48_p14353_Wisniacki
http://hdl.handle.net/20.500.12110/paper_17518113_v40_n48_p14353_Wisniacki
work_keys_str_mv AT wisniackidiegoa vortexdynamicsandtheirinteractionsinquantumtrajectories
AT pujalsenrique vortexdynamicsandtheirinteractionsinquantumtrajectories
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