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Journal articles on the topic 'Rotating singular interactions'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

SUTYRIN, GEORGI G., JAMES C. McWILLIAMS, and R. SARAVANAN. "Co-rotating stationary states and vertical alignment of geostrophic vortices with thin cores." Journal of Fluid Mechanics 357 (February 25, 1998): 321–49. http://dx.doi.org/10.1017/s0022112097008136.

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We investigate the evolution of nearby like-sign vortices whose centres are at different vertical levels in a stably stratified rotating fluid. We employ two differently singularized representations of the potential vorticity distribution in the quasi-geostrophic equations (QG), in order to elucidate the pair-interaction behaviour previously seen in non-singular QG numerical solutions. The first is an analytically tractable conservative (Hamiltonian) elliptical-moment model (EM) for thin-core vortices, which exhibits a regime of very strong horizontal elongation of a vortex in response to the

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2

Luo, Songrong, Junsheng Cheng, and Kexiang Wei. "A Fault Diagnosis Model Based on LCD-SVD-ANN-MIV and VPMCD for Rotating Machinery." Shock and Vibration 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/5141564.

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The fault diagnosis process is essentially a class discrimination problem. However, traditional class discrimination methods such as SVM and ANN fail to capitalize the interactions among the feature variables. Variable predictive model-based class discrimination (VPMCD) can adequately use the interactions. But the feature extraction and selection will greatly affect the accuracy and stability of VPMCD classifier. Aiming at the nonstationary characteristics of vibration signal from rotating machinery with local fault, singular value decomposition (SVD) technique based local characteristic-scale

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3

Achatz, Ulrich. "Modal and Nonmodal Perturbations of Monochromatic High-Frequency Gravity Waves: Primary Nonlinear Dynamics." Journal of the Atmospheric Sciences 64, no. 6 (2007): 1977–94. http://dx.doi.org/10.1175/jas3940.1.

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The primary nonlinear dynamics of high-frequency gravity waves (HGWs) perturbed by their most prominent normal modes (NMs) or singular vectors (SVs) in a rotating Boussinesq fluid have been studied by direct numerical simulations (DNSs), with wave scales and values of viscosity and diffusivity characteristic for the upper mesosphere. The DNS is 2.5D in that it has only two spatial dimensions, defined by the direction of propagation of the HGW and the direction of propagation of the perturbation in the plane orthogonal to the HGW phase direction, but describes a fully 3D velocity field. Many re

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Lott, François, Riwal Plougonven, and Jacques Vanneste. "Gravity Waves Generated by Sheared Potential Vorticity Anomalies." Journal of the Atmospheric Sciences 67, no. 1 (2010): 157–70. http://dx.doi.org/10.1175/2009jas3134.1.

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Abstract The gravity waves (GWs) generated by potential vorticity (PV) anomalies in a rotating stratified shear flow are examined under the assumptions of constant vertical shear, two-dimensionality, and unbounded domain. Near a PV anomaly, the associated perturbation is well modeled by quasigeostrophic theory. This is not the case at large vertical distances, however, and in particular beyond the two inertial layers that appear above and below the anomaly; there, the perturbation consists of vertically propagating gravity waves. This structure is described analytically, using an expansion in

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Caillol, Philippe. "A singular vorticity wave packet within a rapidly rotating vortex: spiralling versus oscillating motions." Journal of Fluid Mechanics 873 (June 27, 2019): 688–741. http://dx.doi.org/10.1017/jfm.2019.374.

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This paper considers a free vorticity wave packet propagating within a rapidly rotating vortex in the quasi-steady regime, a long time after the wave packet strongly and unsteadily interacted with the vortex. We study a singular, nonlinear, helical and asymmetric shear mode inside a linearly stable, columnar and axisymmetric vortex on the $f$-plane. The amplitude-modulated mode enters resonance with the vortex at a certain radius $r_{c}$, where the phase angular speed is equal to the rotation frequency. The singularity in the modal equation at $r_{c}$ strongly modifies the flow in the three-di

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6

Pan, Xiao-Yin, Yin Chen, Yu-Qi Li, Aaron G. Kogan, and Juhao Wu. "On the gauge transformation for the rotation of the singular string in the Dirac monopole theory." International Journal of Modern Physics A 36, no. 03 (2021): 2150019. http://dx.doi.org/10.1142/s0217751x21500196.

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In the Dirac theory of the quantum-mechanical interaction of a magnetic monopole and an electric charge, the vector potential is singular from the origin to infinity along a certain direction — the so-called Dirac string. Imposing the famous quantization condition, the singular string attached to the monopole can be rotated arbitrarily by a gauge transformation, and hence is not physically observable. By deriving its analytical expression and analyzing its properties, we show that the gauge function [Formula: see text] which rotates the string to another one is a smooth function everywhere in

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Sakajo, Takashi. "Vortex crystals on the surface of a torus." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2158 (2019): 20180344. http://dx.doi.org/10.1098/rsta.2018.0344.

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Vortex crystals are equilibrium states of point vortices whose relative configuration is unchanged throughout the evolution. They are examples of stationary point configurations subject to a logarithmic particle interaction energy, which give rise to phenomenological models of pattern formations in incompressible fluids, superconductors, superfluids and Bose–Einstein condensates. In this paper, we consider vortex crystals rotating at a constant speed in the latitudinal direction on the surface of a torus. The problem of finding vortex crystals is formulated as a linear null equation A Γ = 0 fo

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8

Zhao, Le, Shaopu Yang, and Yongqiang Liu. "Weak Fault Feature Extraction of Axle Box Bearing Based on Pre-Identification and Singular Value Decomposition." Machines 10, no. 12 (2022): 1213. http://dx.doi.org/10.3390/machines10121213.

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The axle box bearing is one of the core rotating components in high-speed trains, having served in complex working conditions for a long time. With the fault feature extraction of the vibration signal, the noise interference caused by the interaction between the wheels and rails becomes apparent. Especially when there is a shortwave defect in the rail, the interaction between wheels and rails will produce high-amplitude impulse interference. To solve the problem of the collected vibration signals of axle box bearings containing strong noise interference and high amplitude impact interference c

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9

Lonigro, Davide. "Generalized spin-boson models with non-normalizable form factors." Journal of Mathematical Physics 63, no. 7 (2022): 072105. http://dx.doi.org/10.1063/5.0085576.

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Generalized spin-boson (GSB) models describe the interaction between a quantum mechanical system and a structured boson environment, mediated by a family of coupling functions known as form factors. We propose an extension of the class of GSB models, which can accommodate non-normalizable form factors provided that they satisfy a weaker growth constraint, thus accounting for a rigorous description of a wider range of physical scenarios; we also show that such “singular” GSB models can be rigorously approximated by GSB models with normalizable form factors. Furthermore, we discuss in greater de

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10

Samelson, R. M. "Lyapunov, Floquet, and singular vectors for baroclinic waves." Nonlinear Processes in Geophysics 8, no. 6 (2001): 439–48. http://dx.doi.org/10.5194/npg-8-439-2001.

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Abstract. The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differential equation for the wave amplitude is coupled to a partial differential equation for the zonal flow correction. The leading Lyapunov vector is nearly parallel to the leading Floquet vector f1 of the lowest-order unstable periodic orbit over most of the attractor. Departures of the Lyapunov vector from this orientation are primarily rotations of the vector in an approximate tangent plan

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11

Feliks, Yizhak, Andreas Groth, Andrew W. Robertson, and Michael Ghil. "Oscillatory Climate Modes in the Indian Monsoon, North Atlantic, and Tropical Pacific." Journal of Climate 26, no. 23 (2013): 9528–44. http://dx.doi.org/10.1175/jcli-d-13-00105.1.

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This paper explores the three-way interactions between the Indian monsoon, the North Atlantic, and the tropical Pacific. Four climate records were analyzed: the monsoon rainfall in two Indian regions, the Southern Oscillation index for the tropical Pacific, and the NAO index for the North Atlantic. The individual records exhibit highly significant oscillatory modes with spectral peaks at 7–8 yr and in the quasi-biennial and quasi-quadrennial bands. The interactions between the three regions were investigated in the light of the synchronization theory of chaotic oscillators. The theory was appl

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12

Wang, Chen, and Neil J. Balmforth. "Strato-rotational instability without resonance." Journal of Fluid Mechanics 846 (May 10, 2018): 815–33. http://dx.doi.org/10.1017/jfm.2018.274.

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Strato-rotational instability (SRI) is normally interpreted as the resonant interactions between normal modes of the internal or Kelvin variety in three-dimensional settings in which the stratification and rotation are orthogonal to both the background flow and its shear. Using a combination of asymptotic analysis and numerical solution of the linear eigenvalue problem for plane Couette flow, it is shown that such resonant interactions can be destroyed by certain singular critical levels. These levels are not classical critical levels, where the phase speed $c$ of a normal mode matches the mea

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13

Simos, N., and C. Chassapis. "A Boundary Integral Approach to Attachment/Spherical Shell Interaction." Journal of Pressure Vessel Technology 119, no. 4 (1997): 407–13. http://dx.doi.org/10.1115/1.2842323.

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In pressure vessel applications, the accurate evaluation of the state of stress in the vicinity of nozzles or rigid attachments is of vital importance to the structural integrity of the vessel. Consequently, a number of investigations have paid attention to the problem and, through analytical and numerical approaches, provided information concerning the effect of system parameters, such as shell curvature and attachment geometry, on stress concentration and effective shell stiffness. While analytical solutions have only been able to provide information to axisymmetric problems, finite element

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14

Damiano, E. R., and R. D. Rabbitt. "A singular perturbation model of fluid dynamics in the vestibular semicircular canal and ampulla." Journal of Fluid Mechanics 307 (January 25, 1996): 333–72. http://dx.doi.org/10.1017/s0022112096000146.

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A matched asymptotic analysis is presented that describes the mechanical response of the vestibular semicircular canals to rotation of the head and includes the fluid–structure interaction which takes place within the enlarged ampullary region of the duct. New theoretical results detail the velocity field in a fluid boundary layer surrounding the cupula. The governing equations were linearized for small perturbations in fluid displacement from the prescribed motion of the head and reduced asymptotically by exploiting the slender geometry of the duct. The results include the pressure drop aroun

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15

Vianna, Marcio L., and Viviane V. Menezes. "Singular Spectrum Analysis of Nonstationary Tidal Currents Applied to ADCP Data from the Northeast Brazilian Shelf." Journal of Atmospheric and Oceanic Technology 23, no. 1 (2006): 138–51. http://dx.doi.org/10.1175/jtech1824.1.

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Abstract The development of new tools for the analysis of nonstationary currents, including tidal currents, has been the subject of recent research. In this work a method for studies of nonstationary barotropic or baroclinic currents based on empirical orthogonal function (EOF) and singular spectrum analysis (SSA) is proposed. It represents a new alternative to other methods of analysis of tidal currents in strong interaction with nontidal forcing, for example, the continuous wavelet transform. The advantage of the SSA method resides in the fact that it is fast, easy to implement, efficient fo

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16

Jiménez, Noé, Enrique González-Mateo, Francisco Camarena, and Kestutis Staliunas. "Synthesizing acoustic drill beams by the superposition of detuned vortices." Journal of the Acoustical Society of America 151, no. 4 (2022): A121. http://dx.doi.org/10.1121/10.0010842.

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We present acoustic drill beams. These singular beams show a dynamic intensity distribution matching the shape of a helix. The intensity distribution rotates along the axis of the beam with a controlled direction and angular frequency, therefore resembling the shape of a mechanical drill bit. Acoustic drills emerge elegantly as the spatio-temporal interference of two confocal and detuned vortex beams. The beam parameters are fully tuneable. The detuned frequency, detuning wave number, and detuned topological charge of the composing beams control the number of arms of the drill, the winding per

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17

Ying, Ruoxian, and Michael H. Peters. "Hydrodynamic interaction of two unequal-sized spheres in a slightly rarefied gas: resistance and mobility functions." Journal of Fluid Mechanics 207 (October 1989): 353–78. http://dx.doi.org/10.1017/s0022112089002612.

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The problem of the hydrodynamic interaction of two unequal-sized spheres in a slightly rarefied gas is treated following the singular perturbation scheme of Sone & Onishi (1978), valid at small, but finite, particle Knudsen numbers. In this method the solution to the linearized BGKW transport equation governing the gas molecular motion consists of two parts: one describing a Knudsen layer where the actual microscopic boundary conditions are applied and the other describing a Hilbert region where the Stokes equations of continuum hydrodynamics hold. The Knudsen-layer solution establishes th

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18

Saxena, Praful, and Santosh Kumar. "Robust Video Watermarking Algorithm based on DCT-SVD approach and Encryption." International Journal on Recent and Innovation Trends in Computing and Communication 11, no. 5 (2023): 85–91. http://dx.doi.org/10.17762/ijritcc.v11i5.6581.

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Sharing of digital media content over the internet is increasing everyday .Digital watermarking is a technique used to protect the intellectual property rights of multimedia content owners. In this paper, we propose a robust video watermarking scheme that utilizes Discrete Cosine Transform (DCT) and Singular Value Decomposition (SVD) for embedding a watermark into video frames. The proposed method uses encryption to make the watermark more robust against malicious attacks. The encryption key is used to modify the watermark before it is embedded in the video frames. The modified watermark is th

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19

Chan, Allan, and Sergio Conti. "Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance." Mathematical Models and Methods in Applied Sciences 25, no. 06 (2015): 1091–124. http://dx.doi.org/10.1142/s0218202515500281.

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Domain branching near the boundary appears in many singularly perturbed models for microstructure in materials and was first demonstrated mathematically by Kohn and Müller for a scalar problem representing the elastic behavior of shape-memory alloys. We study here a model for shape-memory alloys based on the full vectorial problem of nonlinear elasticity, including invariance under rotations, in the case of two wells in two dimensions. We show that, for two wells with two rank-one connections, the energy is proportional to the power 2/3 of the surface energy, in agreement with the scalar model

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20

Meng, Xiuxiang, Andrew Sih, Haitao Li, and Nicholas Cody. "Quantified Analyses of Aggression Pattern in a Captive Population of Musk Deer (Moschus Sifanicus)." Annals of Animal Science 12, no. 3 (2012): 413–21. http://dx.doi.org/10.2478/v10220-012-0035-1.

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Quantified Analyses of Aggression Pattern in a Captive Population of Musk Deer (Moschus Sifanicus)Alpine musk deer (Moschus sifanicus) are endangered as a result of habitat degradation and loss and centuries of widespread poaching. Consequently, musk deer farming was introduced as a measure to not only protect musk deer but also to provide a means for sustainable musk supply. An increased understanding of the social structure of captive populations is essential for both successful farming and improved welfare of individuals. This study recorded agonistic interactions between captive individual

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THESS, A., D. SPIRN, and B. JÜTTNER. "A two-dimensional model for slow convection at infinite Marangoni number." Journal of Fluid Mechanics 331 (January 25, 1997): 283–312. http://dx.doi.org/10.1017/s0022112096003989.

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The free surface of a viscous fluid is a source of convective flow (Marangoni convection) if its surface tension is distributed non-uniformly. Such non-uniformity arises from the dependence of the surface tension on a scalar quantity, either surfactant concentration or temperature. The surface-tension-induced velocity redistributes the scalar forming a closed-loop interaction. It is shown that under the assumptions of (i) small Reynolds number and (ii) vanishing diffusivity this nonlinear process is described by a single self-consistent two-dimensional evolution equation for the scalar field a

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22

Gu, Xu, Xi Yang, Hong Liu, and Dong Yang. "Adaptive Granularity-Fused Keypoint Detection for 6D Pose Estimation of Space Targets." Remote Sensing 16, no. 22 (2024): 4138. http://dx.doi.org/10.3390/rs16224138.

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Estimating the 6D pose of a space target is an intricate task due to factors such as occlusions, changes in visual appearance, and background clutter. Accurate pose determination requires robust algorithms capable of handling these complexities while maintaining reliability under various environmental conditions. Conventional pose estimation for space targets unfolds in two stages: establishing 2D–3D correspondences using keypoint detection networks and 3D models, followed by pose estimation via the perspective-n-point algorithm. The accuracy of this process hinges critically on the initial ke

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23

Sparsha, Ranjan, and Divya S. "Resurgence of So. Eco. Post Covid-19 Pandemic – What Looms Ahead." Shanlax International Journal Fo Arts and Science Humanities 7, S1 (2020): 126–47. https://doi.org/10.5281/zenodo.4014633.

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With the world’s economy slowing down in a snowball effect and the population is at stand-still with freezing market and falling economy with GDP of countries plunging to negative is a repercussion of the covid-19 pandemic that is seen in all the 195 countries of the world. With many countries falling short of measures to recover, some economic sound countries like Australia is progressing towards recession after experiencing growth for straight 29 years. The case that was first recorded in the month of November is now spread all over the world and as of 11th march 2020 WHO has char

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Cao, Yangyang, Alexander Kurganov, Masoud Rostami, and Vladimir Zeitlin. "On the dynamics and interactions of coherent magnetic dipolar structures in a magnetohydrodynamic rotating shallow water model." Journal of Fluid Mechanics 1013 (June 11, 2025). https://doi.org/10.1017/jfm.2025.10260.

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In this study, we explore the evolution of instabilities in magneto-quasi-geostrophic (MQG) modons on the $f$ -plane using a magnetohydrodynamic rotating shallow water model. The numerical experiments have been conducted using a recently proposed second-order flux-globalisation-based path-conservative central-upwind scheme. Our focus is on the evolution and interactions of three key configurations: singular, regular and hollow MQG modons, which represent cases where the magnetic field is confined within the separatrix, evenly distributed inside and outside the separatrix and localised outside

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25

Radhakrishnan, Jayakrishnan, Surya Sridhar, Mohammed Zuber, Eddie Y. K. Ng, and B. Satish Shenoy. "Conceptual design of airborne contra rotating VAWTs for rooftop wind energy." Scientific Reports 15, no. 1 (2025). https://doi.org/10.1038/s41598-025-90601-3.

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Abstract Co-rotating, counter, and contra-rotating Vertical Axis Wind Turbines (VAWTs) offer higher power yields than singular turbines due to synergetic interactions, making them ideal for rooftop applications. This study focuses on enhancing the efficiency of a Contra-Rotating VAWT (CR-VAWT) using a ducted airborne configuration. A wind gathering device (WGD), optimized via the Taguchi method, is integrated around the CR-VAWT, which is elevated using an oblate spheroid aerostat designed through a force-weight approach. CFD analyses reveal that incorporating the WGD boosts power output by 32%

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Wang Xin, Ren Fei-Fan, Han Song, Han Hai-Yan, and Yan Dong. "Perfect Optomechanically induced transparency and slow light in an Rydberg atom-assisted optomechanical system." Acta Physica Sinica, 2023, 0. http://dx.doi.org/10.7498/aps.72.20222264.

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Rydberg atoms have attracted considerable attention due to their several singular properties, such as strong long-range interactions, extremely long lifetimes, and very large polarizability. These features make Rydberg atoms the good candidates for cavity quantum electrodynamics, quantum information, and many-body physics. Recently, the study of optomechanics has become a rapidly developing field due to its important applications in cooling of mechanical resonators, implementing precision measurements, slowing light, and preparing quantum entanglement. Obviously, optomechanical systems pave th

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27

Yang, Hui, Xianghua Su, Yu Zhang, and Linghua Wen. "Topological excitations in rotating spin-orbit-coupled spin-1 Bose-Einstein condensates with in-plane gradient magnetic field." Communications in Theoretical Physics, July 4, 2022. http://dx.doi.org/10.1088/1572-9494/ac7dea.

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Abstract We investigate the topological excitations of rotating spin-1 ferromagnetic Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) in an in-plane quadrupole field. Such a system sustains a rich variety of exotic vortex structures due to the spinor order parameter and the interplay among in-plane quadrupole field, SOC, rotation, and interatomic interaction. For the nonrotating case, with the increase of the quadrupole field strength, the system experiences a transition from a coreless polar-core vortex with a bright soliton to a singular polar-core vortex with a density hole.

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Choi, Sun-Ho, Dohyun Kwon, and Hyowon Seo. "Cucker–Smale type flocking models on a sphere." Journal of Mathematical Physics 65, no. 4 (2024). http://dx.doi.org/10.1063/5.0160493.

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We present a Cucker–Smale type flocking model on a sphere including three terms: a centripetal force, multi-agent interactions on a sphere, and inter-particle bonding forces. We consider a rotation operator to compare velocity vectors on different tangent spaces. Due to the geometric restriction, the rotation operator is singular at antipodal points and the relative velocity between two agents located at these points is not well-defined. We assume that the communication rate between two antipodal points is zero to establish a well-defined flocking operator. We obtain the global-in-time existen

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29

Donatelli, Donatella. "On Some Singular Limits Arising in Fluid Dynamic Modelling." Journal of Mathematical Fluid Mechanics 25, no. 1 (2023). http://dx.doi.org/10.1007/s00021-023-00765-z.

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AbstractFluid dynamic equations are used to model various phenomena arising from physics, engineering, astrophysics, geophysics. One feature is that they take place at different time and length scales and it is important to understand which phenomena occur according to the use of single scales or to the interactions of them. From a mathematical point of view, these various physical behaviours give rise to different singular limits and, consequently to a different analysis of the asymptotic state of the governing equations. In this paper we will analyse a very simplified model given by a linear

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Troll, Moritz, Weichao Shi, Callum Stark, and Mehmet Atlar. "Vortex dynamics impact on the wake flow of a marine rudder with leading-edge tubercles." Journal of Ocean Engineering and Marine Energy, October 8, 2022. http://dx.doi.org/10.1007/s40722-022-00262-x.

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AbstractThe impact of two tubercle leading-edge (TLE) modifications on the turbulent wake of a reference marine rudder at Reynolds number 2.26 × 106 was analysed numerically using Detached Eddy Simulations (DES). This paper studies the counter-rotating vortex pair formation around the TLE and their impact on the wake structures behind the rudder to find out if the vortex interaction can accelerate the tip vortex dissipation. According to the results, the tubercles enhanced lift for angles of attack (AOA) 10º and above, but at the cost of a drag penalty which reduced the rudders’ lift-to-drag r

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Huang, Tao, Haibo Zhao, Hao Chen, Yang Yao, and Peng Yu. "A hybrid Cartesian-meshless method for the simulation of thermal flows with complex immersed objects." Physics of Fluids, September 16, 2022. http://dx.doi.org/10.1063/5.0100224.

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In this study, a hybrid Cartesian-meshless method is first extended to deal with the thermal flows with complex immersed objects. The temperature and flow fields are governed by energy conservation equation and Navier-Stokes equations with Boussinesq approximation, respectively. The governing equations are solved by conventional finite difference scheme on Cartesian grid and generalized finite-difference (GFD) with singular value decomposition (SVD) approximation on meshless nodes, with second-order accuracy. The present thermal SVD-GFD method is applied to simulate the following six numerical

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Le Mouël, J.-L., D. Gibert, V. Courtillot, et al. "On the external forcing of global eruptive activity in the past 300 years." Frontiers in Earth Science 11 (October 19, 2023). http://dx.doi.org/10.3389/feart.2023.1254855.

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The decryption of the temporal sequence of volcanic eruptions is a key step in better anticipating future events. Volcanic activity results from a complex interaction between internal and external processes, with time scales spanning multiple orders of magnitude. We review periodicities that have been detected or correlated with volcanic eruptions/phenomena and interpreted as resulting from external forces. Taking a global perspective and longer time scales than a few years, we approach this interaction by analyzing three time-series using singular spectral analysis: the global number of volca

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Albeverio, Sergio, та Seiichiro Kusuoka. "Construction of a Non-Gaussian and Rotation-Invariant Φ⁴-Measure and Associated Flow on ℝ³ Through Stochastic Quantization". Memoirs of the American Mathematical Society 308, № 1558 (2025). https://doi.org/10.1090/memo/1558.

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A new construction of non-Gaussian, rotation-invariant and reflection positive probability measures μ \mu associated with the φ 3 4 \varphi ^4_3 -model of quantum field theory is presented. Our construction uses a combination of semigroup methods, and methods of stochastic partial differential equations (SPDEs) for finding solutions and stationary measures of the natural stochastic quantization associated with the φ 3 4 \varphi ^4_3 -model. Our starting point is a suitable approximation μ M , N \mu _{M,N} of the measure μ \mu , which we intend to construct. μ M , N \mu _{M,N} is parametrized b

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Moreno, Nicolás, David Vázquez-Cortés, and Eliot Fried. "Sedimentation dynamics of triply twisted Möbius bands: Geometry versus topology." Physical Review Research 6, no. 3 (2024). http://dx.doi.org/10.1103/physrevresearch.6.033141.

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We explore the sedimentation dynamics of triply twisted Möbius bands, each characterized by threefold rotational symmetry but distinguished by its construction and intrinsic geometrical properties. Three types of bands are considered: one with vanishing Gaussian curvature, constructed by isometrically deforming flat rectangular strips through bending without stretching; and two with negative Gaussian curvature, one being constructed by isometrically deforming helicoids. Experiment on these three types of bands, with a focus on varying aspect ratios, reveals a singular phenomenon: while the spi

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35

"The cyclic boundary conditions and crystal vibrations." Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 442, no. 1915 (1993): 373–95. http://dx.doi.org/10.1098/rspa.1993.0109.

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In considering the vibrational properties of a crystal, a rigorous finite transformation of the particle displacements from their reference configuration is introduced. This transformation shows that an arbitrary set of such displacements may be regarded as made up of a rotation, a translation, a homogeneous deformation of the reference configuration, and a set of inhomogeneous deformational orthogonal modes. For a three-dimensional crystal, there are 3 N – 12 such inhomogeneous modes, which, in the limit of a large crystal can be considered wave-like. In the usual treatment beginning with the

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Tan, Wanbin, Zipai Wang, Xinjie Zeng, et al. "High‐resolution motion compensation for brain PET imaging using real‐time electromagnetic motion tracking." Medical Physics, October 18, 2024. http://dx.doi.org/10.1002/mp.17437.

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AbstractBackgroundSubstantial improvements in spatial resolution in brain positron emission tomography (PET) scanners have greatly reduced partial volume effect, making head movement the main source of image blur. To achieve high‐resolution PET neuroimaging, precise real‐time estimation of both head position and orientation is essential for accurate motion compensation.PurposeA high‐resolution electromagnetic motion tracking (EMMT) system with an event‐by‐event motion correction is developed for PET‐CT scanners.MethodsEMMT is comprised of a source, an array of sensors, and a readout electronic

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Radywyl, Natalia. "A Moment's Daydreaming." M/C Journal 12, no. 1 (2009). http://dx.doi.org/10.5204/mcj.118.

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Drift: An IntroductionEntering into Drift is akin to entering—or becoming ensnared by—a hum. Projected across one wall, the work uses abstract visual forms to draw visitors into its meditational folds. Quadraphonic sound circulates in smooth, heavy pulses, like the steady rumble of a train running over deep-set tracks. A succession of vibrating lines occupy the screen, much like the horizontal static of a poorly-tuned television. Gradually, the ambient timbre darkens, the hum becomes more persistent and atmospheric undulations more frequent, until room and body expand with intensity. Throbbing

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