scholarly journals Elasticity of a contact-line and avalanche-size distribution at depinning

2010 ◽  
Vol 82 (1) ◽  
Author(s):  
Pierre Le Doussal ◽  
Kay Jörg Wiese
Keyword(s):  
Size Distribution ◽  
Contact Line ◽  
Avalanche Size

scholarly journals Analysis of the one-dimensional Yut-Nori game: Winning strategy and avalanche-size distribution

2013 ◽  
Vol 63 (8) ◽  
pp. 1497-1502
Author(s):  
Hye Jin Park ◽  
Hasung Sim ◽  
Hang-Hyun Jo ◽  
Beom Jun Kim
Keyword(s):  
Size Distribution ◽  
Winning Strategy ◽  
Avalanche Size ◽  
One Dimensional ◽  
The One

AVALANCHES IN THE DIRECTED PERCOLATION DEPINNING AND SELF-ORGANIZED DEPINNING MODELS OF INTERFACE ROUGHENING

Fractals ◽  
1996 ◽  
Vol 04 (03) ◽  
pp. 307-319 ◽  
Author(s):  
S. V. BULDYREV ◽  
L. A. N. AMARAL ◽  
A. -L. BARABÁSI ◽  
S. T. HARRINGTON ◽  
S. HAVLIN ◽  
...  
Keyword(s):  
Size Distribution ◽  
Quenched Disorder ◽  
Directed Percolation ◽  
Invasion Process ◽  
Avalanche Size ◽  
Scaling Properties ◽  
Self Organized ◽  
Interface Roughening

We review the recently introduced Directed Percolation Depinning (DPD) and Self-Organized Depinning (SOD) models for interface roughening with quenched disorder. The differences in the dynamics of the invasion process in these two models are discussed and different avalanche definitions are presented. The scaling properties of the avalanche size distribution and the properties of active cells are discussed.

scholarly journals Macroscopic Quantum Tunneling and Avalanche Size Distribution of 4He Crystallization in Aerogel

2011 ◽  
Vol 80 (12) ◽  
pp. 123601 ◽  
Author(s):  
Ryuji Nomura ◽  
Hirofumi Matsuda ◽  
Ryota Masumoto ◽  
Ken-ichi Ueno ◽  
Yuichi Okuda
Keyword(s):  
Size Distribution ◽  
Quantum Tunneling ◽  
Avalanche Size ◽  
Macroscopic Quantum ◽  
Macroscopic Quantum Tunneling

scholarly journals Size Distribution of Emitted Energies in Local Load Sharing Fiber Bundles

2021 ◽  
Vol 9 ◽  
Author(s):  
Subhadeep Roy ◽  
Soumyajyoti Biswas
Keyword(s):  
Size Distribution ◽  
Power Law ◽  
Linear Relation ◽  
Fiber Bundle ◽  
Average Energy ◽  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles ◽  
Avalanche Size ◽  
Fiber Bundle Model

We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size (s) and the corresponding average energy burst (〈E〉) in this version of the model have a non-linear relation (〈E〉 ~ sγ). Numerical results indicate that γ ≈ 2.5 universally for different failure threshold distributions. With this numerical observation, it is then possible to show that the energy burst distribution is a power law, with a universal exponent value of −(γ + 1).

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

Macrostructure and microphysics of Saturn's E-ring

1984 ◽  
Vol 75 ◽  
pp. 607-613 ◽  
Author(s):  
Kevin D. Pang ◽  
Charles C. Voge ◽  
Jack W. Rhoads
Keyword(s):  
Size Distribution ◽  
Spherical Shape ◽  
Mie Scattering ◽  
Narrow Size Distribution ◽  
Electrostatic Levitation ◽  
Volcanic Origin ◽  
Micron Diameter

Abstract.All observed optical and infrared properties of Saturn's E-ring can be explained in terms of Mie scattering by a narrow size distribution of ice spheres of 2 - 2.5 micron diameter. The spherical shape of the ring particles and their narrow size distribution imply a molten (possibly volcanic) origin on Enceladus. The E-ring consists of many layers, possibly stratified by electrostatic levitation.

Grain Refinement in Titanium-Erbium Alloys

1974 ◽  
Vol 32 ◽  
pp. 522-523
Author(s):  
B. B. Rath ◽  
J. E. O'Neal ◽  
R. J. Lederich
Keyword(s):  
Electron Microscopy ◽  
Size Distribution ◽  
Grain Refinement ◽  
Grain Growth ◽  
Volume Fraction ◽  
Pure Titanium ◽  
Systematic Investigation ◽  
Second Phase ◽  
Titanium Matrix ◽  
Average Size

Addition of small amounts of erbium has a profound effect on recrystallization and grain growth in titanium. Erbium, because of its negligible solubility in titanium, precipitates in the titanium matrix as a finely dispersed second phase. The presence of this phase, depending on its average size, distribution, and volume fraction in titanium, strongly inhibits the migration of grain boundaries during recrystallization and grain growth, and thus produces ultimate grains of sub-micrometer dimensions. A systematic investigation has been conducted to study the isothermal grain growth in electrolytically pure titanium and titanium-erbium alloys (Er concentration ranging from 0-0.3 at.%) over the temperature range of 450 to 850°C by electron microscopy.

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