Record number :
Title of article :
A new interaction potential for swarming models
Author/Authors :
Carrillo، نويسنده , , J.A. and Martin، نويسنده , , S. and Panferov، نويسنده , , V.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Pages :
From page :
To page :
Abstract :
We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions between particles are specified by means of a pairwise potential, repulsive at short ranges and attractive at longer ranges. The exponentially decaying Morse potential is a typical choice, and is known to reproduce certain types of collective motion observed in nature, particularly aligned flocks and rotating mills. We introduce a class of interaction potentials, that we call Quasi-Morse, for which flock and rotating mills states are also observed numerically, however in that case the corresponding macroscopic equations allow for explicit solutions in terms of special functions, with coefficients that can be obtained numerically without solving the particle evolution. We compare the obtained solutions with long-time dynamics of the particle systems and find a close agreement for several types of flock and mill solutions.
Keywords :
Swarming patterns , Individual based models , Self-propelled interacting particles , Quasi-Morse potentials
Journal title :
Physica D Nonlinear Phenomena
Serial Year :
Link To Document :