Free dendritic growth model based on nonisothermal interface and microscopic solvability theory

2019 ◽  
Vol 29 (3) ◽  
pp. 601-607 ◽  
Author(s):  
Shu-cheng LIU ◽  
Li-hua LIU ◽  
Shu LI ◽  
Jin-zhong WANG ◽  
Wei LIU
Keyword(s):  
Growth Model ◽  
Dendritic Growth ◽  
Model Based ◽  
Solvability Theory

A soybean growth model based on compensatory growth following defoliation

1986 ◽  
Vol 1 (2) ◽  
pp. 195-206 ◽  
Author(s):  
Hitoshi Kawamoto ◽  
Takashi Saito ◽  
Keizi Kiritani
Keyword(s):  
Growth Model ◽  
Compensatory Growth ◽  
Model Based

scholarly journals Diamond aggregation

2010 ◽  
Vol 149 (2) ◽  
pp. 351-372
Author(s):  
WOUTER KAGER ◽  
LIONEL LEVINE
Keyword(s):  
Random Walk ◽  
Growth Model ◽  
Power Law ◽  
Simple Random Walk ◽  
Internal Diffusion ◽  
Diffusion Limited Aggregation ◽  
Directional Bias ◽  
Model Based ◽  
Diffusion Limited ◽  
Logarithmic Fluctuations

AbstractInternal diffusion-limited aggregation is a growth model based on random walk in ℤd. We study how the shape of the aggregate depends on the law of the underlying walk, focusing on a family of walks in ℤ2 for which the limiting shape is a diamond. Certain of these walks—those with a directional bias toward the origin—have at most logarithmic fluctuations around the limiting shape. This contrasts with the simple random walk, where the limiting shape is a disk and the best known bound on the fluctuations, due to Lawler, is a power law. Our walks enjoy a uniform layering property which simplifies many of the proofs.

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