TY - JOUR
T1 - Comparison between Smoluchowski and Boltzmann approaches for self-propelled rods
AU - Bertin, Eric
AU - Baskaran, Aparna
AU - Chaté, Hugues
AU - Marchetti, M. Cristina
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/10/20
Y1 - 2015/10/20
N2 - Considering systems of self-propelled polar particles with nematic interactions ("rods"), we compare the continuum equations describing the evolution of polar and nematic order parameters, derived either from Smoluchowski or Boltzmann equations. Our main goal is to understand the discrepancies between the continuum equations obtained so far in both frameworks. We first show that, in the simple case of point-like particles with only alignment interactions, the continuum equations obtained have the same structure in both cases. We further study, in the Smoluchowski framework, the case where an interaction force is added on top of the aligning torque. This clarifies the origin of the additional terms obtained in previous works. Our observations lead us to emphasize the need for a more involved closure scheme than the standard normal form of the distribution when dealing with active systems.
AB - Considering systems of self-propelled polar particles with nematic interactions ("rods"), we compare the continuum equations describing the evolution of polar and nematic order parameters, derived either from Smoluchowski or Boltzmann equations. Our main goal is to understand the discrepancies between the continuum equations obtained so far in both frameworks. We first show that, in the simple case of point-like particles with only alignment interactions, the continuum equations obtained have the same structure in both cases. We further study, in the Smoluchowski framework, the case where an interaction force is added on top of the aligning torque. This clarifies the origin of the additional terms obtained in previous works. Our observations lead us to emphasize the need for a more involved closure scheme than the standard normal form of the distribution when dealing with active systems.
UR - http://www.scopus.com/inward/record.url?scp=84945175513&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84945175513&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.92.042141
DO - 10.1103/PhysRevE.92.042141
M3 - Article
C2 - 26565202
AN - SCOPUS:84945175513
SN - 1539-3755
VL - 92
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 042141
ER -