scholarly journals Theory of Lubrication due to Poly-Electrolyte Polymer Brushes

2007 ◽  
Vol 1049 ◽  
Author(s):  
Jeffrey B. Sokoloff
Keyword(s):  
Field Theory ◽  
Osmotic Pressure ◽  
Dry Friction ◽  
Polymer Brushes ◽  
Mean Field Theory ◽  
Polymer Brush ◽  
Mean Field ◽  
The Mean ◽  
Coated Surfaces

AbstractIt is shown using a method based on the mean field theory of Miklavic Marcelja that it should be possible for osmotic pressure due to the counterions associated with the two polyelectrolyte polymer brush coated surfaces to support a reasonable load (i.e., about 105 Pa) with the brushes held sufficiently far apart to prevent entanglement of polymers belonging to the two brushes, thus avoiding what is likely to be the dominant mechanisms for static and dry friction.

scholarly journals Friction Between Polymer Brushes

2006 ◽  
Vol 975 ◽  
Author(s):  
Jeffrey B. Sokoloff
Keyword(s):  
Field Theory ◽  
Polymer Brushes ◽  
Mean Field Theory ◽  
Polymer Brush ◽  
Mean Field ◽  
Static Friction ◽  
Solid Surfaces ◽  
Coated Surfaces

ABSTRACTA type of static friction between two polymer brush coated surfaces, resulting from fluctuations from mean field theory is found, but with creep-like motion for forces below the force of static friction, which is much more rapid than the usual creep between solid surfaces in contact.

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

Adsorption of Anionic Surfactants in a Nonionic Polymer Brush: Experiments, Comparison with Mean-Field Theory, and Implications for Brush−Particle Interaction

Langmuir ◽  
2009 ◽  
Vol 25 (16) ◽  
pp. 9252-9261 ◽  
Author(s):  
Wiebe M. de Vos ◽  
P. Maarten Biesheuvel ◽  
Arie de Keizer ◽  
J. Mieke Kleijn ◽  
Martien A. Cohen Stuart
Keyword(s):  
Field Theory ◽  
Anionic Surfactants ◽  
Mean Field Theory ◽  
Particle Interaction ◽  
Polymer Brush ◽  
Mean Field ◽  
Nonionic Polymer

On the mean-field theory of spin glasses

1980 ◽  
Vol 13 (3) ◽  
pp. 403-418 ◽  
Author(s):  
A Blandin ◽  
M Gabay ◽  
T Garel
Keyword(s):  
Field Theory ◽  
Spin Glasses ◽  
Mean Field Theory ◽  
Mean Field ◽  
The Mean
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