Intermittency and clustering in a system of self-driven particles. Cristian Huepe Northwestern University Maximino Aldana University of Chicago. Featuring valuable discussions with Hermann Riecke Mary Silber Leo P. Kadanoff. Outline. Model background Self-driven particle model (SDPM)
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Intermittency and clustering in a system of self-driven particles
University of Chicago
Sum over all particles within interaction range r
Random var. with constant
Angle of the velocity of the ith particle
At every t we update using
The ordered phase
Ordered phase appears because of long-range interactions over time
Histogram of laminar intervals
Intermittent signal in time
…the analytic result is obtained after a Laplace transform:
… Computing the inverse Laplace transform, we compare our analytic approximation with the numerical simulations.