Critical Size for Bulk-to-Discrete Transition in 2D Aliphatic Layers: Abrupt Size Effect Observed via Calorimetry and Solid-State13C NMR

2017 ◽  
Vol 121 (25) ◽  
pp. 13916-13929 ◽  
Author(s):  
Zichao Ye ◽  
Lito P. de la Rama ◽  
Mikhail Y. Efremov ◽  
Andre Sutrisno ◽  
Leslie H. Allen
Keyword(s):  
Size Effect ◽  
Critical Size ◽  
Discrete Transition

Determination of Transitional Size of Metal Clusters

2013 ◽  
Author(s):  
Y. H. Park ◽  
I. Hijazi
Keyword(s):  
Monte Carlo ◽  
Size Effect ◽  
Ground State ◽  
Global Minimum ◽  
Metal Clusters ◽  
Critical Size ◽  
Empirical Method ◽  
Ground State Structure ◽  
State Structure ◽  
Eam Potential

We investigated the transitional size of metal clusters where the electronic effect and the size effect on the ground state structure become weaker. Identification of a transitional size cluster provides the means to efficiently determine the ground state structure of large clusters using density functional theory. Beyond the critical size of clusters, geometrical effects become important and the putative global minimum obtained from an empirical method can be used to determine the true ground state structure where the size effect on structures is less significant. We identified the lowest-energy structure using a first principles method in combination with the global search algorithm. We then used the similarity function to quantify structural difference and similarity between the global minimum obtained from an empirical method and the true ground state structure. Two structures become similar beyond a certain critical size. To investigate low-lying structures of metal clusters, we used a Monte Carlo simulated annealing method which employs the Aggregate-Volume-Bias Monte Carlo (AVBMC) algorithm. Incorporated in the Monte Carlo method is an Embedded Atom Method (EAM) potential developed by the authors.

Phenomenological Study of the Size Effect on Martensitic Transformation in Nanograined Powders

2007 ◽  
Vol 353-358 ◽  
pp. 2151-2154
Author(s):  
Hong Bin Wang ◽  
Xiao Chun Wu
Keyword(s):  
Martensitic Transformation ◽  
Size Effect ◽  
Present Model ◽  
Phenomenological Study ◽  
Critical Size ◽  
Calculation Results ◽  
Strain Coefficient ◽  
Interface Strain ◽  
The Difference ◽  
Lower Temperature

On the basis of the Landau-Ginzburg models established by Falk and other authors, a new model for martensitic transformation in nanograined powder is developed, in which the influence of the interface on martensitic transformation in nanograined powder is considered. The interface strain coefficient K, the factor describing the difference of the strain between the interface and the core of a nano-grain, was suggested in this paper. The equation in the present model was solved numerically, and the size effect was observed. The calculation results show that the critical size increases with the drop in temperature, which means that the lower temperature will promote martensitic transformation in nanograined materials.

Cluster critical size effect during growth on a heterogeneous surface

2004 ◽  
Vol 69 (8) ◽  
Author(s):  
I. Chado ◽  
C. Goyhenex ◽  
H. Bulou ◽  
J. P. Bucher
Keyword(s):  
Size Effect ◽  
Critical Size ◽  
Heterogeneous Surface

Quantum size effect dependent critical size cluster and finite size effects

2009 ◽  
Vol 105 (9) ◽  
pp. 094307 ◽  
Author(s):  
S. M. Binz ◽  
M. Hupalo ◽  
M. C. Tringides
Keyword(s):  
Size Effect ◽  
Size Effects ◽  
Critical Size ◽  
Finite Size ◽  
Quantum Size Effect ◽  
Finite Size Effects ◽  
Quantum Size

ON TELEGRAPH COUPLED MAP LATTICE AND ITS APPLICATIONS

2001 ◽  
Vol 12 (10) ◽  
pp. 1525-1535 ◽  
Author(s):  
E. AHMED ◽  
H. A. ABDUSALAM ◽  
E. S. FAHMY
Keyword(s):  
Diffusion Equation ◽  
Size Effect ◽  
Critical Size ◽  
Small World ◽  
Reaction Diffusion ◽  
Finite Amplitude ◽  
Coupled Map Lattice ◽  
Reaction Diffusion Equation ◽  
Small World Network ◽  
Two Dimensional

In the present paper, we will study the general telegraph coupled map lattice and finite amplitude instability will be discussed. The persistence in telegraph reaction diffusion equation (TRD) will be studied in two dimensional systems and we show the critical size effect where phenomena persist only if the domain is large enough. Some applications are introduced and we made a simulation on the small world network, which is more realistic than the ordinary lattices in many cases.

Study on the Size Effect of the BaTiO3 Nanowires by LGD Theory

2008 ◽  
Vol 33-37 ◽  
pp. 913-918
Author(s):  
Jia Wang Hong ◽  
Dai Ning Fang
Keyword(s):  
Curie Temperature ◽  
Size Effect ◽  
Size Effects ◽  
Size Dependence ◽  
Critical Size ◽  
Ferroelectric Properties ◽  
Bulk Materials ◽  
Size Dependent

As the size of ferroelectric nanostructures decreases, the fundamental questions of the size dependence of the ferroelectric properties, and of their possible disappearance at a finite critical size, become crucial. In this paper, Landau-Ginzburg-Devonshire(LGD) theory is introduced to study the size-dependent ferroelectric properties of BaTiO3 nanowires. Our results demonstrate that the Curie temperature and mean polarization decrease with the reducing of nanowire diameters. We further show that these size effects are significant only when the nanowire diameters are less than 20nm, Above this, the ferroelectric behaviors of nanowires are almost the same as those of bulk materials and size effect can be neglected.

Critical size effect for chemically doped β-cristobalite transformation

2000 ◽  
Vol 45 (3-4) ◽  
pp. 175-179 ◽  
Author(s):  
S.J Lee ◽  
C.H Lee
Keyword(s):  
Size Effect ◽  
Critical Size
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