scholarly journals A New Analytical Solution for Solving the Smoluchowski Equation Due to Nanoparticle Brownian Coagulation for Non-Self-Preserving System

2014 ◽  
Vol 14 (6) ◽  
pp. 1726-1737 ◽  
Author(s):  
Mingzhou Yu ◽  
Martin Seipenbusch ◽  
Jinghua Yang ◽  
Hanhui Jin
Keyword(s):  
Analytical Solution ◽  
Smoluchowski Equation ◽  
Brownian Coagulation

Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential

2005 ◽  
Vol 43 (6) ◽  
pp. 1099-1104 ◽  
Author(s):  
Sun Xiao-Jun ◽  
Lu Xiao-Xia ◽  
Yan Yu-Liang ◽  
Duan Jun-Feng ◽  
Zhang Jing-Shang
Keyword(s):  
Analytical Solution ◽  
Harmonic Oscillator ◽  
Smoluchowski Equation ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential

scholarly journals Active ideal sedimentation: exact two-dimensional steady states

Soft Matter ◽  
2018 ◽  
Vol 14 (9) ◽  
pp. 1614-1621 ◽  
Author(s):  
Sophie Hermann ◽  
Matthias Schmidt
Keyword(s):  
Analytical Solution ◽  
Rotational Diffusion ◽  
Smoluchowski Equation ◽  
Steady States ◽  
Two Dimensional ◽  
Translational And Rotational Diffusion

We determine and illustrate an analytical solution of the Smoluchowski equation for active, ideal colloids under gravity including translational and rotational diffusion.

scholarly journals Smoluchowski equations for linker-mediated irreversible aggregation

Soft Matter ◽  
2020 ◽  
Vol 16 (32) ◽  
pp. 7513-7523
Author(s):  
J. M. Tavares ◽  
G. C. Antunes ◽  
C. S. Dias ◽  
M. M. Telo da Gama ◽  
N. A. M. Araújo
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Computer Simulations ◽  
Smoluchowski Equation ◽  
Experimental Results ◽  
Smoluchowski Equations ◽  
Irreversible Aggregation

An analytical solution of a generalized Smoluchowski equation for linker-mediated aggregation, validated by computer simulations, describes experimental results for the time evolution of clustering.

scholarly journals A new analytical solution for agglomerate growth undergoing Brownian coagulation

2016 ◽  
Vol 40 (9-10) ◽  
pp. 5497-5509 ◽  
Author(s):  
Mingzhou Yu ◽  
Yueyan Liu ◽  
Guodong Jin ◽  
Hanhui Jin
Keyword(s):  
Analytical Solution ◽  
Brownian Coagulation
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