Simulations of Structural Asymmetries and Dimensional Dependence of Scaling in the Screened Eden Model

2016 ◽  
Author(s):  
Ken A. Hawick
Keyword(s):  
Dimensional Dependence ◽  
Eden Model

VACUUM ENERGY IN SPHERICAL DOMAINS: WKB AND UNIFORM ASYMPTOTIC EXPANSIONS

1996 ◽  
Vol 11 (22) ◽  
pp. 4129-4146 ◽  
Author(s):  
AUGUST ROMEO
Keyword(s):  
Zeta Function ◽  
Asymptotic Expansions ◽  
Zero Point ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Point Energy ◽  
Dimensional Dependence ◽  
Spherical Domains ◽  
Spectral Zeta Function ◽  
Uniform Asymptotic Expansions

We evaluate the finite part of the regularized zero-point energy for a massless scalar field confined in the interior of a D-dimensional spherical region. While some insight is offered into the dimensional dependence of the WKB approximations by examining the residues of the spectral-zeta-function poles, a mode-sum technique based on an integral representation of the Bessel spectral zeta function is applied with the help of uniform asymptotic expansions (u.a.e.’s).

Response to the comment on 'Eden model on the Manhattan lattice'

1986 ◽  
Vol 19 (11) ◽  
pp. 2237-2238 ◽  
Author(s):  
A Chernoutsan ◽  
S Milosevic
Keyword(s):  
Eden Model

scholarly journals Eden Model Simulation of Re-Epithelialization and Angiogenesis of an Epidermal Wound

Processes ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 207
Author(s):  
Ephraim Agyingi ◽  
Luke Wakabayashi ◽  
Tamas Wiandt ◽  
Sophia Maggelakis
Keyword(s):  
Model Simulation ◽  
Cutaneous Wound Healing ◽  
Epidermal Stem Cells ◽  
Wound Edge ◽  
Wound Area ◽  
Cutaneous Wound ◽  
Simulation Results ◽  
Eden Model ◽  
And Migration ◽  
Proliferation And Migration

Among the vital processes of cutaneous wound healing are epithelialization and angiogenesis. The former leads to the successful closure of the wound while the latter ensures that nutrients are delivered to the wound region during and after healing is completed. These processes are regulated by various cytokines and growth factors that subtend their proliferation and migration into the wound region until full healing is attained. Wound epithelialization can be enhanced by the administration of epidermal stem cells (ESC) or impaired by the presence of an infection. This paper uses the Eden model of a growing cluster to independently simulate the processes of epithelialization and angiogenesis in a cutaneous wound for different geometries. Further, simulations illustrating bacterial infection are provided. Our simulation results demonstrate contraction and closure for any wound geometry due to a collective migration of epidermal cells from the wound edge in fractal form and the diffusion of capillary sprouts with the laying down of capillary blocks behind moving tips into the wound area.

Simulated growth and microstructure of DyBa2Cu3O7−x with and without Dy2BaCuO5 addition

1995 ◽  
Vol 10 (2) ◽  
pp. 268-273 ◽  
Author(s):  
N. Vandewalle ◽  
R. Cloots ◽  
M. Ausloos
Keyword(s):  
Growth Front ◽  
Kinetic Mechanism ◽  
Optical Observations ◽  
Kinetic Processes ◽  
Eden Model ◽  
Kinetics Of ◽  
Simulated Growth ◽  
Simple Models ◽  
Growth Probability

We present optical observations of magnetically melt-textured DyBa2Cu3O7−x with and without 20 wt. % excess of Dy2BaCuO5. From these observations, we propose some kinetic mechanism of the growth of 123 compounds. Kinetic processes can be simulated on computers. Two (very) simple models derived from the well-known Eden model are presented. They simulate the growth of the grain front. The simulated patterns agree with the observations. The microstructure of such materials cannot be explained by thermodynamic and chemical considerations alone, but explanations must include the kinetics of the growth front as well. From our observations, we conclude that the growth probability ratios g110/g100 and g100/g001 are of the order of 10 and 50, respectively.

scholarly journals Description of R×T dimensional dependence of YBCO samples with a percolation model

2010 ◽  
Vol 470 (2) ◽  
pp. 159-164 ◽  
Author(s):  
L.A.A. Pereira ◽  
P.R. Junior ◽  
A.R. Jurelo
Keyword(s):  
Percolation Model ◽  
Dimensional Dependence

scholarly journals RESEARCH OF SEAM DIMENSIONAL DEPENDENCE ON THE SHORT-CIRCUIT CURRENT IN MMA WELDING PROCESS / SIŪLĖS MATMENŲ PRIKLAUSOMYBĖS NUO TRUMPOJO JUNGIMO SROVĖS STIPRIO TYRIMAS, VIRINANT GLAISTYTAISIAIS ELEKTRODAIS

2013 ◽  
Vol 5 (6) ◽  
pp. 659-663
Author(s):  
Mindaugas Rimkus ◽  
Ivanas Višniakas ◽  
Česlovas Kazakevičius
Keyword(s):  
Arc Welding ◽  
Drop Size ◽  
Short Circuit ◽  
Welding Process ◽  
Short Circuit Current ◽  
Mma Welding ◽  
Metal Drop ◽  
Dimensional Dependence ◽  
Ridge Height ◽  
Weld Depth

In this article the changes of seams properties of steel S235J2(LST EN 10025:2004) were analyzed, produced by welding withdifferent technology are discussed. Samples were welded byhand arc welding, using AV-23 and AV-66 welding electrodes.The welded seams were made by changing short-circuit current.The duration of weld depth, ridge height, metal drop size, metaldrop frequency, short-circuit time and short-circuit current valueare determinated.The results of the research are given in graphs,final conclusions are also written. Santrauka Straipsnyje tiriami mažaanglio plieno S235J2 (LST EN 10025:2004) virintinių siūlių matmenų pokyčiai, apvirinant plieną skirtingais glaistytaisiais elektrodais įvairiais suvirinimo režimais. Tyrimų metu buvo naudojami AV-23 ir AV-66 glaistytieji elektrodai ir keičiamas trumpojo jungimo srovės stipris. Nustatytas ryšys tarp metalo įvirinimo gylio, rumbelės aukščio, išlydytų lašų dydžio ir kiekio, trumpojo jungimo trukmės ir srovės dydžio. Gauti tyrimų rezultatai, nubraižyti priklausomybių grafikai ir pateiktos išvados.

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