Boundary asymmetry, curvature, and corner


 Active pressure depends of shape of non-spherical particles through reorientation at the boundary.

Are there macroscopic consequences of activity for spherical particles (no wall-induced reorientation)?

N. Nikola, A.P. Solon, Y. Kafri, M. Kardar, J. Tailleur, R. Voituriez, Phys. Rev. Lett. 117, 098001 (2016);


  Asymmetric boundaries:

yellow ball   Tangential Ratchet force: Asymmetric walls support a current and net tangential force:

 Random motions of bacteria:        (R. Di Leonardo, et al PNAS 2010)

(Another macroscopic consequence of the absence of time reversibility at microscopic scale.)


  Curving boundaries:

yellow ball   Normal force variations for sinusoidal wall:    

(Density along and into the wall is non-uniform, depending on curvature as well as potential)

           

                    

Variation of pressure with curvature is reminiscent of Laplace's law, implying an activity-induced line (surface) tension:


red ball Sharp corners:

yellow ball   Scale invariant currents and density variations:

yellow ball  Simulations: 

Conserved density is the only slow variable in this system

yellow ball  Analogy to electrostatics (dipolar field sourced at corner):

yellow ballThe strength of resulting currents and corresponding pressure depend on the opening angle.


 

 

 

 

 

 

 

 

 

 

 

 

 

red ball Bendable soft boundary:

+ stabilizing nonlinearities

yellow ballReduction in line tension leads to modulation instability:

yellow ballConfirmation for a granular chain held on a vibrating plate of shaken particles (Physics Viewpoint)

G. Junot, G. Briand, R. Ledesma-Alonso, and O. Dauchot, PRL 119, 028002 (2017)