minimal sphere
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2011 ◽  
Vol 474-476 ◽  
pp. 7-10 ◽  
Author(s):  
Zhuo Chen ◽  
Zhi Xiong Huang ◽  
Ming Zhang ◽  
Min Xian Shi ◽  
Yan Qin ◽  
...  

This paper introduced a computer simulation model for composite materials which was reinforced by spherical particles. We introduced its algorithm and visualize the model with different particle volume fraction. In order to evaluate the uniformity of the particle distribution, we estimated Particle Center Density and standard deviation of minimal sphere distance.


2010 ◽  
Vol 1 (MEDSI-6) ◽  
Author(s):  
P. Noiré ◽  
N. Jonquerès ◽  
S. Schlutig ◽  
D. Leterme ◽  
T. Roux

In the diffraction community, the goniometer is the main part of the diffractometer, essential for orienting the samples. To characterize the goniometer, the sphere of confusion (SoC) has been measured. The SoC describes the minimal sphere that enclosed the measurements. This essential information is very important for the diffractometer users. In collaboration with Symetrie Inc., Soleil Synchrotron and the CEA, the SoC has been measured with three different metrology methods. These three measurement techniques and the associated results are discussed in this article.


1994 ◽  
Vol 53 (1) ◽  
pp. 75-102 ◽  
Author(s):  
Claudio Gorodski

1989 ◽  
Vol 04 (16) ◽  
pp. 1497-1507 ◽  
Author(s):  
PAWEL O. MAZUR

The final stage of a black hole evaporation due to the Hawking effect is studied. One finds that, including the effects of quantum gravity, a black hole does not evaporate completely losing its energy steadily to a flux of created particles, but rather decays via a change in topology into an asymptotically flat space and an object which is a closed Friedmann Universe. This process is a genuine non-perturbative effect of quantum gravity and becomes the dominant “channel” of a black hole decay for black holes with masses slightly larger than the Planck mass Mp=1019 GeV. We calculate the decay rate of a Schwarzchild black hole with the mass M and discuss other decay “channels” by topology change. An explicit instanton mediating the decay is constructed by matching the Schwarzschild and the “wormhole” Friedmann instantons on the minimal sphere which is a Euclidean section of the event horizon. We show, as an example, that the decay process is mediated in the semi-classical approximation by the gravitational-axionic instanton. However, we argue that the phenomenon discussed in this paper does not depend on the particular instanton approximation and should be discussed in the framwork of the second quantization of interacting geometry suggested in Ref. 17. It is argued that in the more general setting of the Wheeler-De Witt equation, the wave functional describing a black hole is not gaussian because of the existence of an unstable mode.


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