scholarly journals Invariance of specific mass increment in the case of non-equilibrium growth

2015 ◽  
Vol 24 (9) ◽  
pp. 090502 ◽  
Author(s):  
L. M. Martyushev ◽  
A. P. Sergeev ◽  
P. S. Terentiev
2013 ◽  
Vol 24 (3) ◽  
pp. 437-453 ◽  
Author(s):  
CARLOS ESCUDERO ◽  
ROBERT HAKL ◽  
IRENEO PERAL ◽  
PEDRO J. TORRES

We present the formal geometric derivation of a non-equilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary radial solutions by means of variational techniques. Our results depend on the size of a parameter that plays the role of the strength of forcing. For small forcing we prove the existence and multiplicity of solutions to the elliptic problem. We discuss our results in the context of non-equilibrium statistical mechanics.


1997 ◽  
Vol 171 (3-4) ◽  
pp. 543-547 ◽  
Author(s):  
Ishwar Das ◽  
Archana Sharma ◽  
Anuj Kumar ◽  
R.S. Lall

2020 ◽  
Vol 22 (5) ◽  
pp. 053033 ◽  
Author(s):  
Dapeng Jing ◽  
Ann Lii-Rosales ◽  
King C Lai ◽  
Qiang Li ◽  
Jaeyoun Kim ◽  
...  

1992 ◽  
Vol 181 (1-2) ◽  
pp. 136-155 ◽  
Author(s):  
Ofer Shochet ◽  
Klaus Kassner ◽  
Eshel Ben-Jacob ◽  
S.G. Lipson ◽  
Heiner Müller-Krumbhaar

2020 ◽  
Vol 492 ◽  
pp. 110203 ◽  
Author(s):  
A. Agosti ◽  
S. Marchesi ◽  
G. Scita ◽  
P. Ciarletta

1999 ◽  
Vol 215 (2) ◽  
pp. 1025-1032 ◽  
Author(s):  
Jizhong Zhang ◽  
Xiaoyan Ye ◽  
Xiaodong Yang

Nature ◽  
1990 ◽  
Vol 343 (6258) ◽  
pp. 523-530 ◽  
Author(s):  
Eshel Ben-Jacob ◽  
Peter Garik

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