scholarly journals Second-order fluctuations and current across characteristic for a one-dimensional growth model of independent random walks

2005 ◽  
Vol 33 (2) ◽  
pp. 759-797 ◽  
Author(s):  
Timo Seppäläinen
Keyword(s):  
Random Walks ◽  
Growth Model ◽  
Second Order ◽  
One Dimensional ◽  
Dimensional Growth

ROUGHENING/WETTING TRANSITION IN A GROWTH MODEL WITH ADSORPTION AND DESORPTION

2001 ◽  
Vol 15 (16) ◽  
pp. 2249-2259
Author(s):  
FEDERICO M. RUIZ ◽  
EZEQUIEL V. ALBANO
Keyword(s):  
Phase Diagram ◽  
Numerical Simulations ◽  
Growth Model ◽  
Constant Velocity ◽  
Nearest Neighbors ◽  
Wetting Transition ◽  
Boltzmann Constant ◽  
Rough Interface ◽  
One Dimensional ◽  
Dimensional Growth

A one-dimensional growth model where particles are adsorbed with probability P A and desorbed with probability P D = exp (-nE/k B T), where n is the number of nearest-neighbors (NN), E is the NN interaction energy, k B is the Boltzmann constant and T is the temperature, is presented and studied by means of numerical simulations. It is shown that, at a given temperature, there is a critical adsorption probability [Formula: see text], such as the model displays a roughening/wetting transition between a smooth and a rough interface for [Formula: see text] and [Formula: see text], respectively. The former phase is bounded to the substratum while the later propagates at constant velocity away from the substratum. The roughening phase diagram, i.e. a critical curve [Formula: see text] versus T, is evaluated and discussed.

scholarly journals Preserving the Shape of Functions by Applying Multidimensional Schoenberg-Type Operators

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1016
Author(s):  
Camelia Liliana Moldovan ◽  
Radu Păltănea
Keyword(s):  
Applied Sciences ◽  
Degree Of Approximation ◽  
Higher Order ◽  
Second Order ◽  
Dimensional Case ◽  
Moduli Of Continuity ◽  
One Dimensional ◽  
Multidimensional Generalization ◽  
The One

The paper presents a multidimensional generalization of the Schoenberg operators of higher order. The new operators are powerful tools that can be used for approximation processes in many fields of applied sciences. The construction of these operators uses a symmetry regarding the domain of definition. The degree of approximation by sequences of such operators is given in terms of the first and the second order moduli of continuity. Extending certain results obtained by Marsden in the one-dimensional case, the property of preservation of monotonicity and convexity is proved.

Kinetics-Driven One-Dimensional Growth of van der Waals Layered SnSe

2021 ◽  
Author(s):  
Zhibin Liu ◽  
Keda Ding ◽  
Zhifu Liu ◽  
Faqiang Zhang ◽  
Huarong Zeng ◽  
...  
Keyword(s):  
Van Der Waals ◽  
One Dimensional ◽  
Dimensional Growth

One dimensional polymeric photonic crystal doped with second-order nonlinear optical chromophore

2009 ◽  
Author(s):  
Azusa Inoue ◽  
Shin-ichiro Inoue ◽  
Shiyoshi Yokoyama ◽  
Keisuke Kojima ◽  
Kei Yasui ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Nonlinear Optical ◽  
Second Order ◽  
One Dimensional ◽  
Nonlinear Optical Chromophore

Computer Simulations for Some One-Dimensional Models of Random Walks in Fluctuating Random Environment

2005 ◽  
Vol 121 (3-4) ◽  
pp. 361-372 ◽  
Author(s):  
C. Boldrighini ◽  
G. Cosimi ◽  
S. Frigio ◽  
A. Pellegrinotti
Keyword(s):  
Random Walks ◽  
Computer Simulations ◽  
Random Environment ◽  
One Dimensional ◽  
Dimensional Models
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