Dipole‐Quadrupole Model and Multipole Analysis of Resonant Membrane Metasurfaces
Laser &Photonics Reviews, EarlyView.Membrane metasurfaces, arrays of holes in a dielectric membrane, are appealing because they require no substrate and allow access to resonant near‐fields. However, developing a comprehensive theoretical description for them remains challenging. We introduce a semi‐analytical dipole‐quadrupole approach to analyze their resonant spectra at arbitrary ...
Izzatjon Allayarov +2 more
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Topological Photonic Devices and Circuits at Terahertz Frequencies
Laser &Photonics Reviews, EarlyView.This review examines how 3D topological insulators and emerging topological photonic phases enable robust, low‐loss and defect‐immune terahertz devices. Fundamental properties, device implementations and topological transport mechanisms are surveyed, revealing new opportunities for reconfigurable, high‐performance THz components and scalable ...
Samane Kalhor +3 more
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Dirac-equation signal processing: Physics boosts topological machine learning. [PDF]
PNAS NexusWang R, Tian Y, Liò P, Bianconi G.
europepmc +1 more source
Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Derivation of Dirac equation from the stochastic optimal control principles of quantum mechanics. [PDF]
Sci RepYordanov V.
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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Free Energies of Reaction for Aqueous Glycine Condensation Chemistry at Extreme Temperatures
Geophysical Monograph Series, Page 271-283., 2020 This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Matthew Kroonblawd, Nir Goldman
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
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