Velocity weakening friction: A renormalization approach

1996 ◽  
Vol 101 (B6) ◽  
pp. 13911-13917 ◽  
Author(s):  
Jean Schmittbuhl ◽  
Jean-Pierre Vilotte ◽  
Stéphane Roux
1990 ◽  
Vol 195 ◽  
Author(s):  
S. Berthier ◽  
K. Driss-Khodja

ABSTRACTIn order to take into account the actual morphology of the inhomogeneous media, we have developed, effective medium models based on a 2D and 3D position space renormalization /1,2/. These models predict the dipolar resonance and the percolation transition with critical exponents in good agreement with theoretical values and fairly reproduce most of the experimental results, whatever the concentration is. Further more, this allows a valuable comparison of the predictions of our models when applied on different lattices like real digitized TEM of cermet films or randomly occupied lattices.


1984 ◽  
Vol 29 (5) ◽  
pp. 2808-2810 ◽  
Author(s):  
Paulo Murilo Oliveira ◽  
Mucio A. Continentino ◽  
Enrique V. Anda

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Andrey Chubukov ◽  
Nikolay V. Prokof'ev ◽  
Boris V. Svistunov

2012 ◽  
Vol 85 (7) ◽  
Author(s):  
J. Segovia ◽  
D. R. Entem ◽  
F. Fernández ◽  
E. Ruiz Arriola

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
C. E. Máximo ◽  
R. Bachelard ◽  
F. E. A. dos Santos ◽  
C. J. Villas-Boas

2013 ◽  
Vol 10 (89) ◽  
pp. 20130720 ◽  
Author(s):  
Simon Gluzman ◽  
Dmitry A. Karpeev ◽  
Leonid V. Berlyand

Effective viscosity (EV) of suspensions of puller-like microswimmers (pullers), for example Chlamydamonas algae, is difficult to measure or simulate for all swimmer concentrations. Although there are good reasons to expect that the EV of pullers is similar to that of passive suspensions, analytical determination of the passive EV for all concentrations remains unsatisfactory. At the same time, the EV of bacterial suspensions is closely linked to collective motion in these systems and is biologically significant. We develop an approach for determining analytical EV estimates at all concentrations for suspensions of pullers as well as for passive suspensions. The proposed methods are based on the ideas of renormalization group (RG) theory and construct the EV formula based on the known asymptotics for small concentrations and near the critical point (i.e. approaching dense packing). For passive suspensions, the method is verified by comparison against known theoretical results. We find that the method performs much better than an earlier RG-based technique. For pullers, the validation is done by comparing them to experiments conducted on Chlamydamonas suspensions.


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