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Controlling stable Bloch points with electric currents [PDF]
Scientific Reports, 2023 The Bloch point is a point singularity in the magnetisation configuration, where the magnetisation vanishes. It can exist as an equilibrium configuration and plays an important role in many magnetisation reversal processes.
Martin Lang +4 more
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On the nonexistence of stable currents in submanifolds of a Euclidean space [PDF]
Tohoku Mathematical Journal, 2004 Let \(M^m\) be a compact Riemannian manifold immersed in Euclidean space \(\mathbb R^{m+k}\). The main result of the paper is that there are no stable currents in \(M^m\) if one of the following pinching conditions holds: 1) The sectional curvature \(K\) satisfies \(K > (k/4)(\lambda_0 - \mu_0)^2\) where \(\lambda_0\) and \(\mu_0\) are the maximum and ...
exaly +4 more sources
On stable quantum currents [PDF]
Journal of Mathematical Physics, 2020 We study the transport properties of discrete quantum dynamical systems on the lattice, in particular, coined quantum walks and the Chalker–Coddington model. We prove the existence of a non-trivial charge transport implying that the absolutely continuous spectrum covers the whole unit circle under mild assumptions.
Asch, Joachim +2 more
openaire +2 more sources
Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
Mathematics, 2022 In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi +3 more
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On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
Mathematics, 2021 In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
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The Homology of Warped Product Submanifolds of Spheres and Their Applications
Mathematics, 2023 The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups.
Lamia Saeed Alqahtani +3 more
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Cell Reports, 2023 Summary: Intracortical microstimulation (ICMS) enables applications ranging from neuroprosthetics to causal circuit manipulations. However, the resolution, efficacy, and chronic stability of neuromodulation are often compromised by adverse tissue ...
Roy Lycke +12 more
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Statistical Birkeland current distributions from magnetic field observations by the Iridium constellation [PDF]
Annales Geophysicae, 2008 We present a statistical analysis of Birkeland currents derived from Iridium magnetometer data acquired in the Northern Hemisphere to determine the dependence of large-scale currents on the interplanetary magnetic field (IMF) direction.
B. J. Anderson +4 more
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Forum of Mathematics, Sigma, 2021 Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the development of
Dídac Martínez-Granado +1 more
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