Results 31 to 40 of about 191,077 (277)

‘Classical’ coherent state generated by curved surface

New Journal of Physics, 2022
Analogous coherent states are deduced from classical optical fields on curved surface in this paper. The Gaussian laser beam, as a fundamental mode, cannot be adequately simulated by coherent states due to their inherent diffraction in flat space. But it
Weifeng Ding, Zhaoying Wang
doaj   +1 more source

Geometrical Aspect of Compressibility Critical Exponent

Frontiers in Physics, 2022
Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one.
J. S. Yu, W. K. Du, Q. H. Liu
doaj   +1 more source

Primordial black hole formation with non-Gaussian curvature perturbations [PDF]

, 2019
In the context of transient constant-roll inflation near a local maximum, we derive the non-perturbative field redefinition that relates a Gaussian random field with the true non-Gaussian curvature perturbation.
Atal, Vicente, Garriga, Jaume, Marcos-Caballero, Airam   +2 more
core   +2 more sources

Prescribing Gaussian curvature on S2 [PDF]

Duke Mathematical Journal, 1990
What functions K can be the Gaussian curvature of a metric on \(S^ 2\) which is pointwise conformal to the standard metric? It is well known that this problem reduces to solving the nonlinear PDE \(\Delta u=1- Ke^{2u}\) where \(\Delta\) is the Laplacian on \(S^ 2\) with its standard metric.
openaire   +3 more sources

Geometric background charge: dislocations on capillary bridges

, 2012
Recent experiments have shown that colloidal crystals confined to weakly curved capillary bridges introduce groups of dislocations organized into `pleats' as means to relieve the stress caused by the Gaussian curvature of the surface.
Irvine, William, Vitelli, Vincenzo
core   +1 more source

Bridge deck disease detection and screening method based on point cloud Gaussian curvature field

Journal of Highway and Transportation Research and Development
In order to efficiently and automatically detect and classify bridge deck diseases, a method using Gaussian curvature to detect bridge deck surface diseases is proposed.
Liang Tang, Xiangyu Zhang, Tong Wu, Yijun Liu, Xinyu Li   +4 more
doaj   +1 more source

Quantifying epithelial cell proliferation on curved surfaces

Frontiers in Physics, 2022
Out-of-plane curvature is an important, but poorly explored geometric parameter that influences cell behavior. We address the impact of curvature on epithelial proliferation through monitoring how MDCK cells proliferate on planar and curved toroidal ...
Ya-Wen Chang, Ya-Wen Chang, Ricardo Cruz-Acuña, Ricardo Cruz-Acuña, Michael Tennenbaum, Alexandros A. Fragkopoulos, Andrés J. García, Andrés J. García, Alberto Fernández-Nieves, Alberto Fernández-Nieves, Alberto Fernández-Nieves, Alberto Fernández-Nieves   +11 more
doaj   +1 more source

Smooth Random Surfaces from Tight Immersions?

, 1993
We investigate actions for dynamically triangulated random surfaces that consist of a gaussian or area term plus the {\it modulus} of the gaussian curvature and compare their behavior with both gaussian plus extrinsic curvature and ``Steiner'' actions ...
A. Billoire, A. M. Polyakov, A. Polyakov, B. Durhuus, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, C. F. Baillie, D. A. Johnston, D. Boulatov, H. Kleinert, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Jurkiewicz, M. Bowick, R. Harnish, R. Renken, R. V. Ambartzumian, S. Catterall, S. Catterall, S. Catterall, T. Willmore, W. Helfrich   +32 more
core   +1 more source

Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves

European Physical Journal C: Particles and Fields, 2023
The observational data of primordial black holes and scalar-induced gravitational waves can constrain the primordial curvature perturbation at small scales. We parameterize the primordial curvature perturbation by a broken power law form and find that it
Zhu Yi, Qin Fei
doaj   +1 more source

Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

Universal Journal of Mathematics and Applications, 2023
In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
Tuğçe Dirim, Betül Bulca Sokur
doaj   +1 more source