Symmetry property of a generalized Billet's N-split lens

2010 ◽  
Vol 283 (19) ◽  
pp. 3564-3568 ◽  
Author(s):  
Chieh-Jen Cheng ◽  
Jyh-Long Chern
Keyword(s):  
Symmetry Property

On the Radial Symmetry Property for Harmonic Functions

2020 ◽  
Vol 64 (10) ◽  
pp. 9-19
Author(s):  
V. V. Volchkov ◽  
Vit. V. Volchkov
Keyword(s):  
Harmonic Functions ◽  
Symmetry Property ◽  
Radial Symmetry

Adsorption‐stretching analogy for a polymer chain on a plane. Symmetry property of the phase diagram

1994 ◽  
Vol 100 (3) ◽  
pp. 2325-2334 ◽  
Author(s):  
Aleksandr M. Skvortsov ◽  
Aleksey A. Gorbunov ◽  
Leonid I. Klushin
Keyword(s):  
Phase Diagram ◽  
Polymer Chain ◽  
Symmetry Property ◽  
Plane Symmetry

A global random walk on spheres algorithm for transient heat equation and some extensions

2019 ◽  
Vol 25 (1) ◽  
pp. 85-96 ◽  
Author(s):  
Karl K. Sabelfeld
Keyword(s):  
Random Walk ◽  
Heat Equation ◽  
Symmetry Property ◽  
Forthcoming Paper ◽  
Diffusion Reaction ◽  
Advection Diffusion ◽  
The Green Function ◽  
Walk On Spheres Algorithm ◽  
Reaction Equations ◽  
Advection Diffusion Reaction Equations

AbstractWe suggest in this paper a global Random Walk on Spheres (gRWS) method for solving transient boundary value problems, which, in contrast to the classical RWS method, calculates the solution in any desired family ofmprescribed points. The method uses onlyNtrajectories in contrast tomNtrajectories in the conventional RWS algorithm. The idea is based on the symmetry property of the Green function and a double randomization approach. We present the gRWS method for the heat equation with arbitrary initial and boundary conditions, and the Laplace equation. Detailed description is given for 3D problems; the 2D problems can be treated analogously. Further extensions to advection-diffusion-reaction equations will be presented in a forthcoming paper.

Symmetry Property of Fullerenes

2007 ◽  
Vol 4 (6) ◽  
pp. 1202-1205 ◽  
Author(s):  
G. R. Vakili-Nezhaad ◽  
G. A. Mansoori ◽  
A. R. Ashrafi
Keyword(s):  
Symmetry Property

The Interaction of Point Defects with the Martensitic Transformation: A Prototype of Exotic Multiscale Phenomena

MRS Bulletin ◽  
2002 ◽  
Vol 27 (2) ◽  
pp. 116-120 ◽  
Author(s):  
Xiaobing Ren ◽  
Kazuhiro Otsuka
Keyword(s):  
Martensitic Transformation ◽  
Shape Memory ◽  
Point Defects ◽  
Symmetry Property ◽  
Short Range ◽  
Domain Pattern ◽  
Wide Range ◽  
Mesoscopic Level ◽  
Martensitic Materials ◽  
Rich Spectrum

AbstractThe martensitic transformation has so far been studied without considering its interaction with point defects. In this article, we shall show that such interaction, which stems from a universal symmetry property of point defects, can create a rich spectrum of exotic multiscale phenomena in martensitic materials. These phenomena include unique short-range diffusion at the atomic or nano level, remarkable domain-pattern memory at the mesoscopic level, and peculiar rubber-like behavior and aging-induced two-way shape memory at the macroscopic level. Exotic multiscale phenomena may also be found in a wide range of transforming materials, such as ferroelastic, ferroelectric, and ferromagnetic materials. These novel effects may provide new opportunities for these important materials.

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