Results 51 to 60 of about 938,544 (352)
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
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‘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
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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
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, 2012 We study the shapes of pored membranes within the framework of the Helfrich theory under the constraints of fixed area and pore size. We show that the mean curvature term leads to a budding- like structure, while the Gaussian curvature term tends to ...
de la Cruz, Monica Olvera +3 more
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Phi-entropy inequalities and Fokker-Planck equations [PDF]
, 2010 We present new $\Phi$-entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure.
Bolley, François, Gentil, Ivan
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Bridge deck disease detection and screening method based on point cloud Gaussian curvature field
Journal of Highway and Transportation Research and DevelopmentIn 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 +4 more
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Prescribing Gaussian curvature on S2
Acta Mathematica, 1987 On the standard two sphere S 2 the Gaussian curvature after a conformal change ds \(2=e^{2u}ds\) \(2_ 0\) is determined by the following equation: \[ (1.1)\quad \Delta u+Ke^{2u}=1\quad on\quad S^ 2 \] where \(\Delta\) denotes the Laplacian relative to the standard metric. The question raised by L.
Chang, Sun-yung Alice, Yang, Paul C.
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Frustrated order on extrinsic geometries
, 2011 We study, analytically and theoretically, defects in a nematically-ordered surface that couple to the extrinsic geometry of a surface. Though the intrinsic geometry tends to confine topological defects to regions of large Gaussian curvature, extrinsic ...
Grason, Gregory M. +2 more
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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 +11 more
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Non-Gaussian curvature distribution of actin-propelled biomimetric colloid trajectories [PDF]
We analyze the motion of colloids propelled by a comet-like tail of polymerizing actin filaments. The curvature of the particle trajectories deviates strongly from a Gaussian distribution, implying that the underlying microscopic processes are ...
Biesheuvel, P.M. +5 more
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