2019-09-23T09:04:28Z
https://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/7534
2018-09-13T07:12:53Z
com_10261_2855
com_10261_4
col_10261_2857
2008-10-03T11:40:03Z
urn:hdl:10261/7534
Clustering transition in a system of particles self-consistently driven by a shear flow
López, Cristóbal
Exactly Solvable and Integrable Systems
Chaotic Dynamics
[PACS] Nonlinear dynamics and nonlinear dynamical systems
[PACS] Transport processes
5 pages, 2 figures (final publisher version), 11 pages, 2 figures (post-print version).-- PACS nrs.: 05.45.−a, 05.60.−k.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0409028v1
We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by
the distribution of particles itself. The model consists in that the effective velocity of every particle is given by the average of the external flow velocities felt by the particles
located at a distance less than a typical radius, R. Numerical analysis reveals the existence of a transition to clustering depending on the parameters of the external flow and on R. A continuum description in terms of the
number density of particles is derived, and a linear stability analysis of the density equation is performed in order to characterize the transitions observed in the model of interacting particles.
2008-10-03T11:40:03Z
2008-10-03T11:40:03Z
2004-12-06
artículo
Physical Review E 70, 066205 (2004)
1539-3755
http://hdl.handle.net/10261/7534
10.1103/PhysRevE.70.066205
eng
http://dx.doi.org/10.1103/PhysRevE.70.066205
openAccess
American Physical Society