Integral equation theory of polymer melts: density fluctuations, static structure factor, and comparison with incompressible and continuum limit models

1988 ◽  
Vol 21 (10) ◽  
pp. 3082-3087 ◽  
Author(s):  
Kenneth S. Schweizer ◽  
John G. Curro
Keyword(s):  
Integral Equation ◽  
Structure Factor ◽  
Continuum Limit ◽  
Polymer Melts ◽  
Density Fluctuations ◽  
Integral Equation Theory ◽  
Static Structure Factor ◽  
Static Structure ◽  
Limit Models

scholarly journals Numerical study of a model of terahertz collective modes in DNA

2021 ◽  
Vol 2094 (2) ◽  
pp. 022012
Author(s):  
V E Zakhvataev ◽  
O S Volodko ◽  
L A Kompaniets ◽  
D V Zlobin
Keyword(s):  
Structure Factor ◽  
Biological Function ◽  
Numerical Study ◽  
Density Fluctuations ◽  
Wave Number ◽  
Collective Modes ◽  
Static Structure Factor ◽  
Structural Effects ◽  
Static Structure ◽  
Parametric Dependencies

Abstract Terahertz density fluctuations in DNA have been recognized to be associated with biological function of DNA and widely studied both experimentally and theoretically. In the present work, we investigate numerically a new model for the terahertz dynamics of density fluctuations in DNA, proposed earlier. This model considers the length scales corresponding to wave numbers up to the position of the maximum of the static structure factor and allows to reflect structural effects caused by the dependence of the static structure factor on wave number. We study the parametric dependencies of the model to elucidate the effect of dlocalization of the dynamics of density fluctuations caused by structural effects.

The static structure factor S(Q) of partially deuterated ethyl- and hexylmethacrylate polymers

2000 ◽  
Vol 276-278 ◽  
pp. 369-370 ◽  
Author(s):  
G. Meier ◽  
U. Pawelzik ◽  
W. Schweika ◽  
W. Kockelmann
Keyword(s):  
Structure Factor ◽  
Static Structure Factor ◽  
Static Structure

Finite size effects in the static structure factor of dusty plasmas

2014 ◽  
Vol 21 (7) ◽  
pp. 073704 ◽  
Author(s):  
A. E. Davletov ◽  
L. T. Yerimbetova ◽  
Ye. S. Mukhametkarimov ◽  
A. K. Ospanova
Keyword(s):  
Structure Factor ◽  
Size Effects ◽  
Finite Size ◽  
Dusty Plasmas ◽  
Static Structure Factor ◽  
Static Structure ◽  
Finite Size Effects

The static structure factor of hydrogen in the liquid state

2004 ◽  
Vol 350 (1-3) ◽  
pp. E1067-E1069
Author(s):  
M Celli ◽  
F Formisano ◽  
E Guarini ◽  
R Magli ◽  
M Zoppi ◽  
...  
Keyword(s):  
Structure Factor ◽  
Liquid State ◽  
Static Structure Factor ◽  
Static Structure

scholarly journals Stone–Wales defects preserve hyperuniformity in amorphous two-dimensional networks

2021 ◽  
Vol 118 (3) ◽  
pp. e2016862118
Author(s):  
Duyu Chen ◽  
Yu Zheng ◽  
Lei Liu ◽  
Ge Zhang ◽  
Mohan Chen ◽  
...  
Keyword(s):  
2D Materials ◽  
Single Layer ◽  
Salient Feature ◽  
Density Fluctuations ◽  
Wave Number ◽  
Static Structure Factor ◽  
Two Dimensional ◽  
Static Structure ◽  
Topological Transformation ◽  
Amorphous Graphene

Disordered hyperuniformity (DHU) is a recently discovered novel state of many-body systems that possesses vanishing normalized infinite-wavelength density fluctuations similar to a perfect crystal and an amorphous structure like a liquid or glass. Here, we discover a hyperuniformity-preserving topological transformation in two-dimensional (2D) network structures that involves continuous introduction of Stone–Wales (SW) defects. Specifically, the static structure factor S(k) of the resulting defected networks possesses the scaling S(k)∼kα for small wave number k, where 1≤α(p)≤2 monotonically decreases as the SW defect concentration p increases, reaches α≈1 at p≈0.12, and remains almost flat beyond this p. Our findings have important implications for amorphous 2D materials since the SW defects are well known to capture the salient feature of disorder in these materials. Verified by recently synthesized single-layer amorphous graphene, our network models reveal unique electronic transport mechanisms and mechanical behaviors associated with distinct classes of disorder in 2D materials.

scholarly journals Hyperuniformity and static structure factor of amorphous silicon in the infinite-wavelength limit

2019 ◽  
Vol 1252 ◽  
pp. 012003
Author(s):  
Devilal Dahal ◽  
Raymond Atta-Fynn ◽  
S. R. Elliott ◽  
Parthapratim Biswas
Keyword(s):  
Amorphous Silicon ◽  
Structure Factor ◽  
Static Structure Factor ◽  
Static Structure ◽  
Wavelength Limit
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