The dynamics of a system of point vortices is considered in the plane and on the sphere. Particular attention is given to the formation of vortex clusters and to global vortex dynamics, especially in the spherical case. For integrable systems and systems with given symmetries, we show the existence of a critical energy above or below which (depending on the geometry of the surface) the system splits into clusters and vortex dynamics is confined to a particular region. The case of nonidentical vortices is of particular interest since we observe quite different global dynamics depending on the energy and the initial conditions. Furthermore we identify all the relative equilibria configurations as critical points of the reduced energy and we give an instability criterion to deduce instability for certain configurations.
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http://dx.doi.org/10.1063/1.1581451 | DOI Listing |
Med Phys
December 2024
Department of Physics, Lakehead University, Thunder Bay, Ontario, Canada.
Background: This study investigates a multi-angle acquisition method aimed at improving image quality in organ-targeted PET detectors with planar detector heads. Organ-targeted PET technologies have emerged to address limitations of conventional whole-body PET/CT systems, such as restricted axial field-of-view (AFOV), limited spatial resolution, and high radiation exposure associated with PET procedures. The AFOV in organ-targeted PET can be adjusted to the organ of interest, minimizing unwanted signals from other parts of the body, thus improving signal collection efficiency and reducing the dose of administered radiotracer.
View Article and Find Full Text PDFHead Neck
December 2024
Department of Otorhinolaryngology-Head and Neck Surgery, Inselspital, Bern University Hospital and University of Bern, Bern, Switzerland.
Introduction: This study aims to improve the diagnostic yield of cervical fine-needle aspiration (FNA) through training on a novel liver model. Ultrasonography-guided fine-needle aspiration (US-FNA) is crucial for diagnosing head and neck lumps but requires meticulous execution. Limited resources often hinder systematic teaching, making practical models essential for training.
View Article and Find Full Text PDFPhys Chem Chem Phys
December 2024
Ames National Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA.
The impact of inner-sphere water molecules on the binding of rare earth (RE) nitrates to MCM-22 aluminosilicates is analyzed. We used cluster models of MCM-22 to investigate the binding phenomena through localized-basis density functional theory (DFT) calculations. We also conducted plane-wave DFT calculations for a few selected binding configurations using the entire periodic MCM-22 unit cell to check for consistency.
View Article and Find Full Text PDFJ Phys Chem B
December 2024
Peter the Great St. Petersburg Polytechnic University, St. Petersburg 195251, Russian Federation.
J Bodyw Mov Ther
October 2024
Physiotherapy Department, Faculty of Medicine, Health Sciences Campus, University of Murcia, Spain. Electronic address:
Background: The exploration of the spine in the sagittal plane is of great relevance in the health area. The inclinometer has proved to be reliable in the assessment of this sagittal plane. Due to the growth of technology, a number of smartphone apps which simulates the action of the inclinometer have been developed.
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