From Flatland to Spaceland: Higher Dimensional Patterning with Two-Dimensional Materials.
Sign Up to like & getrecommendations! Published in 2017 at "Advanced materials"
DOI: 10.1002/adma.201605096
Abstract: The creation of three-dimensional (3D) structures from two-dimensional (2D) nanomaterial building blocks enables novel chemical, mechanical or physical functionalities that cannot be realized with planar thin films or in bulk materials. Here, we review the… read more here.
Keywords: spaceland higher; two dimensional; flatland spaceland; dimensional patterning ... See more keywords
Boundedness in the higher‐dimensional attraction‐repulsion chemotaxis system involving tensor‐valued sensitivity with saturation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7049
Abstract: In this paper, we consider the attraction‐repulsion parabolic‐parabolic‐parabolic model with nonlinear diffusion ut=∇·(D(u)∇u)−∇·(uS1(x,u,v)∇v)+∇·(uS2(x,u,w)∇w)+ξu−μu2,x∈Ω,t>0,vt=Δv+αu−βv,x∈Ω,t>0,wt=Δw+γu−δw,x∈Ω,t>0, in a smooth bounded domain Ω⊂ℝn(n≥2) , where α, β, γ, δ, μ are given positive parameters and ξ ≥ 0. The function D satisfies D(u) ≥ CDum − 1 for all… read more here.
Keywords: higher dimensional; boundedness higher; attraction; attraction repulsion ... See more keywords
Higher-dimensional Willmore energy as holographic entanglement entropy
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DOI: 10.1007/jhep01(2025)081
Abstract: The vacuum entanglement entropy of a general conformal field theory (CFT) in d = 5 spacetime dimensions contains a universal term, F(A), which has a complicated and non-local dependence on the geometric details of the… read more here.
Keywords: willmore energy; dimensional willmore; energy; higher dimensional ... See more keywords
Higher-dimensional symmetry of AdS2×S2 correlators
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DOI: 10.1007/jhep03(2022)076
Abstract: Abstract It was recently shown that IIB supergravity on AdS5×S5 enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we… read more here.
Keywords: symmetry ads2; dimensional symmetry; higher dimensional; conformal symmetry ... See more keywords
Higher-dimensional magnetic Skyrmions
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DOI: 10.1007/jhep03(2025)016
Abstract: We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an S3 target space, requiring a 4-dimensional magnetization… read more here.
Keywords: skyrmion; magnetic skyrmions; higher dimensional; dimensional magnetic ... See more keywords
Analysis of inflationary models in higher-dimensional uniform inflation
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DOI: 10.1007/jhep04(2025)077
Abstract: We consider higher-dimensional uniform inflation, in which the extra dimensions expand at the same rate as three-dimensional non-compact space during inflation. We compute the cosmological perturbation in D + 4 dimensions and derive the spectral… read more here.
Keywords: dimensional uniform; inflationary models; analysis inflationary; inflation ... See more keywords
Higher dimensional Fourier quasicrystals from Lee–Yang varieties
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DOI: 10.1007/s00222-024-01307-8
Abstract: In this paper, we construct Fourier quasicrystals with unit masses in arbitrary dimensions. This generalizes a one-dimensional construction of Kurasov and Sarnak. To do this, we employ a class of complex algebraic varieties avoiding certain… read more here.
Keywords: dimensional fourier; higher dimensional; usepackage; fourier quasicrystals ... See more keywords
Classical defects in higher-dimensional Einstein gravity coupled to nonlinear $$\sigma $$σ-models
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DOI: 10.1007/s10714-017-2278-8
Abstract: We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $$\sigma $$σ-model with cosmological constant. The $$\sigma $$σ-model can be perceived as exterior configuration of a spontaneously-broken $$SO(D-1)$$SO(D-1) global higher-codimensional “monopole”. Here we allow the… read more here.
Keywords: sigma; gravity coupled; dimensional einstein; coupled nonlinear ... See more keywords
Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity
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DOI: 10.1007/s10714-019-2548-8
Abstract: The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical, planar and hyperbolic… read more here.
Keywords: power maxwell; black hole; maxwell; higher dimensional ... See more keywords
Lie algebra of coupled higher-dimensional forced Burgers’ equation
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DOI: 10.1007/s13370-021-00926-1
Abstract: Symmetry analysis of coupled higher-dimensional forced Burgers’ equation is investigated for various cases. The Lie algebra for the various cases of forcing terms is investigated. Interestingly, for a linear forcing term, the symmetry analysis leads… read more here.
Keywords: burgers equation; dimensional forced; forced burgers; coupled higher ... See more keywords
On Controllability of Networked Higher Dimensional Impulsive Systems
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DOI: 10.1007/s41980-020-00481-8
Abstract: This article proposes various sufficient controllability criteria for a class of networked higher dimensional systems under the influence of impulses exhibited by their state functions. The conditions obtained are characterised in terms of impulse matrices,… read more here.
Keywords: dimensional impulsive; higher dimensional; controllability networked; controllability ... See more keywords