Pair interaction of charged colloidal spheres near a charged wall

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
Sven H. Behrens ◽  
David G. Grier
2017 ◽  
Vol 19 (35) ◽  
pp. 23849-23853 ◽  
Author(s):  
Håkan Wennerström

An explicit expression, free from adjustable parameters, is derived for the effective pair interaction between charged colloidal spheres at high concentration in a medium containing an electrolyte.


2018 ◽  
Vol 3 (1) ◽  
pp. 5
Author(s):  
Oktaviani Oktaviani ◽  
Yasuhisa Adachi

In our study, we revisited a previously reported method for evaluating the mixing intensity of uniform colloidal spheres in terms of their collision frequency, with the aim of evaluating the validity of this method in the case of a small stirred vessel equipped with an impeller with four paddles. The rates of the salt-induced rapid coagulation of polystyrene latex (PSL) particles with five different diameters were measured as functions of the rotation rate. The ad-hoc assumption of the linear additivity of the perikinetics and the orthokinetics of the coagulation process was used for the analysis. Our previously proposed equation for the rate of turbulent coagulation as a function of the particle diameter, determined for an end-over-end rotation mixing device, was confirmed to be valid. However, it was found that, for small particles and low-mixing rates, i.e., for low Peclet numbers, the rate of coagulation becomes larger than that predicted on the basis of linear additivity because of the coupling effect of Brownian motion and the fluid flow during turbulent mixing. This increase occurred even though the rate was lowered by the wall effect, which resulted in an inhomogeneous distribution of the mixing intensity.


2019 ◽  
Vol 2019 (8) ◽  
pp. 835-837
Author(s):  
N. E. Dubinin ◽  
G. M. Bhuiyan ◽  
F. I. Abbas
Keyword(s):  

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Attila Szolnoki ◽  
Xiaojie Chen

AbstractThe conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a battlefield. For instance some people like to be part of a larger group while other persons prefer to interact in a more personalized, individual way. Both attitudes can be formulated via appropriately chosen traditional games. In particular, the prisoner’s dilemma game is based on pair interaction while the public goods game represents multi-point interactions of group members. To reveal the possible advantage of a certain attitude we extend these models by allowing players not simply to change their strategies but also let them to vary their attitudes for a higher individual income. We show that both attitudes could be the winner at a specific parameter value. Interestingly, however, the subtle interplay between different states may result in a counterintuitive evolutionary outcome where the increase of the multiplication factor of public goods game drives the population to a fully defector state. We point out that the accompanying pattern formation can only be understood via the multipoint or multi-player interactions of different microscopic states where the vicinity of a particular state may influence the relation of two other competitors.


2019 ◽  
Vol 21 (8) ◽  
pp. 083015 ◽  
Author(s):  
Sascha Brinker ◽  
Manuel dos Santos Dias ◽  
Samir Lounis
Keyword(s):  

2009 ◽  
Vol 48 (26) ◽  
pp. 4816-4819 ◽  
Author(s):  
Chen Chen ◽  
Wei Chen ◽  
Jun Lu ◽  
Deren Chu ◽  
Ziyang Huo ◽  
...  

2005 ◽  
Vol 17 (31) ◽  
pp. S2779-S2786 ◽  
Author(s):  
Ana Barreira Fontecha ◽  
Hans Joachim Schöpe ◽  
Hans König ◽  
Thomas Palberg ◽  
René Messina ◽  
...  

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