Agent-Based Simulation of the Two-Dimensional Patlak-Keller-Segel Model
Statistical Mechanics
2019-09-30 v1
Abstract
The Patlak-Keller-Segel equation describes the chemotactic interactions of small organisms in the continuum limit, and a singular peak appears through spontaneous aggregation when the total mass of the organisms exceeds a critical value. To deal with this singular behavior numerically, we propose an agent-based simulation method in which both the organisms and the chemicals are represented as particles. Our numerical estimates for the threshold behavior are consistent with the analytic predictions.
Keywords
Cite
@article{arxiv.1909.07642,
title = {Agent-Based Simulation of the Two-Dimensional Patlak-Keller-Segel Model},
author = {Gyu Ho Bae and Seung Ki Baek},
journal= {arXiv preprint arXiv:1909.07642},
year = {2019}
}
Comments
6 pages, 2 figures (to appear in J. Korean Phys. Soc.)