Geometric order parameter equations

Details Geometric order parameter equations Geometric order parameter equations

2006-08-07

arxiv.org/abs/nlin/0608011v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

10 pages, 3 figures. Submitted to Physical Review Letters

Scientific paper

Aggregation of particles whose interaction potential depends on their mutual orientation is considered. The aggregation dynamics is derived using a version of Darcy's law and a variational principle depending on the geometric nature of the physical quantities. The evolution equations that result separate into two classes: either characteristic equations, or gradient flow equations. We derive analytical solutions of both types of equations which are collapsed (clumped) states and show their dynamical emergence from smooth initial conditions in numerical simuations.

Affiliated with

Also associated with

No associations

Rating

Geometric order parameter equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric order parameter equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric order parameter equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601351