A direct method for Bloch wave excitation by scattering at the edge of a lattice. Part II: Finite size effects

2019 ◽  
Vol 72 (3) ◽  
pp. 387-414
Author(s):  
R I Brougham ◽  
I Thompson
Keyword(s):  
Size Effects ◽  
Water Waves ◽  
Direct Method ◽  
Finite Size ◽  
Wave Theory ◽  
Bloch Wave ◽  
General Context ◽  
Linear Wave ◽  
Finite Size Effects ◽  
Scatterer Size

Summary A method for determining the reflection and transmission properties of a periodic structure occupying a half-space, previously developed for lattices formed from point scatterers, is generalized to allow for finite size effects. This facilitates the consideration of much higher frequencies (or more precisely, much higher scatterer size to wavelength ratios), and also a wider range of boundary conditions. The method is presented in a general context of linear wave theory, and physical interpretations are given for acoustics, elasticity, electromagnetism and water waves.

Thermal Conductivity and Natural Cooling Rate of Excimer-Laser Annealed SI: A Molecular Dynamics Study

2006 ◽  
Vol 910 ◽  
Author(s):  
Byoung-Min Lee ◽  
Baek Seok Seong ◽  
Hong Koo Baik ◽  
Shinji Munetoh ◽  
Teruaki Motooka
Keyword(s):  
Thermal Conductivity ◽  
Molecular Dynamics ◽  
Cooling Rate ◽  
Size Effects ◽  
Direct Method ◽  
Finite Size ◽  
Md Simulations ◽  
Heat Current ◽  
Finite Size Effects ◽  
The Relationship

AbstractTo investigate the relationship between the thermal conductivity and the cooling rate, we have performed molecular-dynamics (MD) simulations based on a combination of the Langevin and Newton equations to deal with a heat transfer from l-Si to c-Si. The thermal conductivity of c-Si was measured by the direct method. In order to deal with finite-size effects, different cell sizes perpendicular to the direction of the heat current were used. The values of the thermal conductivity of 58 W/mK and 35.7 W/mK in the Tersoff potential were obtained at 1000 K and 1500 K, respectively. A MD cell with a length of 488.75 ¡Ê in the direction of a heat flow was used for estimating the natural cooling rate. The initial c/l interface systems were obtained by setting the temperatures of the MD cell at 1000 K and 1500 K, respectively, for Z <= 35 ¡Ê and 3800 K for Z > 35 ¡Ê. During the natural cooling processes, the temperature of the bottom 10 ¡Ê of the MD cell was controlled. The cooling rates of 7.4 × 1011 K/sec for 1000 K and 5.9 × 1011 K/sec for 1500 K were obtained, respectively.

Finite Size Effects on Electroluminescence of Nanoscale Semiconducting Polymer Heterojunctions

1997 ◽  
Vol 9 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Samson A. Jenekhe ◽  
Xuejun Zhang ◽  
X. Linda Chen ◽  
Vi-En Choong ◽  
Yongli Gao ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Semiconducting Polymer

scholarly journals Entanglement, combinatorics and finite-size effects in spin chains

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Spin Chains ◽  
Finite Size Effects

scholarly journals Effect of Bjerrum pairs on electrostatic properties in an electrolyte solution near charged surfaces: A mean-field approach

2021 ◽  
Author(s):  
Jun-Sik Sin
Keyword(s):  
Electrolyte Solution ◽  
Size Effects ◽  
Mean Field ◽  
Finite Size ◽  
Ion Association ◽  
Finite Size Effects ◽  
Field Approach ◽  
Electrostatic Properties ◽  
Charged Surfaces ◽  
Orientational Ordering

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water...

scholarly journals Finite size effects in multilayered polymer systems: Development of PET lamellae under physical confinement

Polymer ◽  
2010 ◽  
Vol 51 (20) ◽  
pp. 4530-4539 ◽  
Author(s):  
A. Flores ◽  
C. Arribas ◽  
F. Fauth ◽  
D. Khariwala ◽  
A. Hiltner ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Systems Development ◽  
Finite Size Effects ◽  
Polymer Systems
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