Terahertz Microfluidic Sensing with Dual‐Torus Toroidal Metasurfaces
Sign Up to like & getrecommendations! Published in 2021 at "Advanced Optical Materials"
DOI: 10.1002/adom.202100024
Abstract: Toroidal excitation manifests as currents flowing on the surface of a torus along its meridians that are known as poloidal currents. Several intriguing phenomena such as nonradiating anapole excitation, dynamic Aharonov–Bohm effect, and vector potential… read more here.
Keywords: toroidal resonance; dual torus; torus toroidal; terahertz microfluidic ... See more keywords
Extensions of lattice groups, gerbes and chiral fermions on a torus
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.08.003
Abstract: Abstract Motivated by the topological classification of hamiltonians in condensed matter physics (topological insulators) we study the relations between chiral Dirac operators coupled to an abelian vector potential on a torus in 3 and 1… read more here.
Keywords: chiral fermions; space; group; physics ... See more keywords
Polarized orbifolds associated to quantized Hamiltonian torus actions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104363
Abstract: Suppose given an holomorphic and Hamiltonian action of a compact torus $T$ on a polarized Hodge manifold $M$. Assume that the action lifts to the quantizing line bundle, so that there is an induced unitary… read more here.
Keywords: orbifolds associated; polarized orbifolds; associated quantized; boldsymbol ... See more keywords
Existence theorems for a general 2 × 2 non-Abelian Chern–Simons–Higgs system over a torus
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.03.017
Abstract: In this paper we study a general 2×2 non-Abelian Chern–Simons–Higgs system of the form Δui+1e2(∑j=12Kjieuj−∑j=12∑k=12KkjKjieujeuk)=4π∑j=1Niδpij(x),i=1,2 over a flat 2-torus T2, where e>0, δp is the Dirac measure at p, Ni∈N (i=1,2), K is a non-degenerate… read more here.
Keywords: non abelian; system; chern simons; general non ... See more keywords
Sharp Hardy inequalities on the solid torus
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.042
Abstract: Abstract In this paper, we establish the classical Hardy inequality in the solid torus and some variants of it. The general idea is to use the fact that Sobolev embeddings can be improved in the… read more here.
Keywords: inequalities solid; sharp hardy; torus; solid torus ... See more keywords
Magnetization switching process in a torus nanoring with easy-plane surface anisotropy
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2017.06.130
Abstract: Abstract We have studied the effects of surface shape anisotropy in the magnetization behavior of a torus nanoring by means of Monte Carlo simulations. Stable states (vortex and reverse vortex states) and metastable states (onion… read more here.
Keywords: temperature; vortex; torus nanoring; torus ... See more keywords
Laboratory study of the failed torus mechanism in arched, line-tied, magnetic flux ropes
Sign Up to like & getrecommendations! Published in 2023 at "Physics of Plasmas"
DOI: 10.1063/5.0137457
Abstract: Coronal mass ejections (CMEs) are some of the most energetic and violent events in our solar system. The prediction and understanding of CMEs are of particular importance due to the impact that they can have… read more here.
Keywords: failed torus; torus; flux ropes; mechanism ... See more keywords
Exact percolation probabilities for a square lattice: site percolation on a plane, cylinder, and torus
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac61b8
Abstract: We have found analytical expressions (polynomials) of the percolation probability for site percolation on a square lattice of size L × L sites when considering a plane (the crossing probability in a given direction), a… read more here.
Keywords: plane; cylinder; probability; torus ... See more keywords
Mid-Infrared Dusty Torus Sizes in Active Galactic Nuclei with Hβ Reverberation Mapping
Sign Up to like & getrecommendations! Published in 2023 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stad1136
Abstract: We compile optical and mid-infrared (MIR) light curves from the time-domain surveys (i.e., CRTS, PTF, ZTF and ASAS-SN) and WISE archive for a selected sample of active galactic nuclei (AGNs) with Hβ reverberation mapping (RM)… read more here.
Keywords: active galactic; torus; mid infrared; torus sizes ... See more keywords
How fast does a random walk cover a torus?
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.012115
Abstract: We present high statistics simulation data for the average time 〈T_{cover}(L)〉 that a random walk needs to cover completely a two-dimensional torus of size L×L. They confirm the mathematical prediction that 〈T_{cover}(L)〉∼(LlnL)^{2} for large L,… read more here.
Keywords: fast random; walk cover; torus; cover ... See more keywords
Long-Lived Quantum Vortex Knots
Sign Up to like & getrecommendations! Published in 2018 at "JETP Letters"
DOI: 10.1134/s0021364018050120
Abstract: The dynamics of the simplest torus quantum vortex knots in a superfluid at zero temperature has been simulated with a regularized Biot–Savart law (the torus radii R0 and r0 for the initial vortex configuration are… read more here.
Keywords: lived quantum; quantum vortex; torus; vortex knots ... See more keywords