Diffusion-controlled aggregation in the continuum approximation

1984 ◽  
Vol 29 (4) ◽  
pp. 2017-2020 ◽  
Author(s):  
R. Ball ◽  
M. Nauenberg ◽  
T. A. Witten
Keyword(s):  
Continuum Approximation ◽  
Diffusion Controlled ◽  
The Continuum

scholarly journals Устойчивость углеродной нанолуковицы в контакте с графитовой подложкой

2019 ◽  
Vol 45 (12) ◽  
pp. 9
Author(s):  
С.Ш. Рехвиашвили ◽  
М.М. Бухурова
Keyword(s):  
Theoretical Model ◽  
Interaction Potential ◽  
Interatomic Interaction ◽  
Continuum Approximation ◽  
Graphite Phase ◽  
Interatomic Interaction Potential ◽  
The Stability ◽  
The Continuum

AbstractA theoretical model describing the stability of a carbon nano-onion in the presence of a bulk catalytic graphite phase is constructed based on the continuum approximation of interatomic interaction potential and mechanics of deformed systems. It is shown that a carbon nano-onion becomes unstable when its radius exceeds double value of the radius of a fullerene C_60 molecule.

scholarly journals A Review of Geometry, Construction and Modelling for Carbon Nanotori

2019 ◽  
Vol 9 (11) ◽  
pp. 2301 ◽  
Author(s):  
Pakhapoom Sarapat ◽  
James Hill ◽  
Duangkamon Baowan
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanostructures ◽  
Single Walled Carbon Nanotubes ◽  
Continuum Approximation ◽  
Interaction Energies ◽  
Jones Potential ◽  
Lennard Jones ◽  
Walled Carbon Nanotubes ◽  
Analytical Expressions ◽  
The Continuum

After the discovery of circular formations of single walled carbon nanotubes called fullerene crop circles, their structure has become one of the most researched amongst carbon nanostructures due to their particular interesting physical properties. Several experiments and simulations have been conducted to understand these intriguing objects, including their formation and their hidden characteristics. It is scientifically conceivable that these crop circles, nowadays referred to as carbon nanotori, can be formed by experimentally bending carbon nanotubes into ring shaped structures or by connecting several sections of carbon nanotubes. Toroidal carbon nanotubes are likely to have many applications, especially in electricity and magnetism. In this review, geometry, construction, modelling and possible applications are discussed and the existing known analytical expressions, as obtained from the Lennard-Jones potential and the continuum approximation, for their interaction energies with other nanostructures are summarised.

A swarm intelligence modeling approach reveals noble gas cluster configurations confined within carbon nanotubes

2020 ◽  
Vol 22 (36) ◽  
pp. 20693-20703 ◽  
Author(s):  
Cheriyacheruvakkara Owais ◽  
Chris John ◽  
Rotti Srinivasamurthy Swathi
Keyword(s):  
Carbon Nanotubes ◽  
Swarm Intelligence ◽  
Noble Gas ◽  
Continuum Approximation ◽  
Confinement Effects ◽  
Modeling Approach ◽  
Intelligence Modeling ◽  
Gas Clusters ◽  
The Continuum

A swarm intelligence modeling approach together with the continuum approximation for carbon nanotubes unravels confinement effects for noble gas clusters.

scholarly journals On the continuum approximation of the on-and-off signal control on dynamic traffic networks

2014 ◽  
Vol 61 ◽  
pp. 73-97 ◽  
Author(s):  
Ke Han ◽  
Vikash V. Gayah ◽  
Benedetto Piccoli ◽  
Terry L. Friesz ◽  
Tao Yao
Keyword(s):  
Continuum Approximation ◽  
Signal Control ◽  
Traffic Networks ◽  
Dynamic Traffic ◽  
The Continuum
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