The Self-Driven Particle Model

By Sam and Nate Reid
The Self-Driven Particle Model
The Self-Driven Particle Model is a toy dynamical system in which particles move in 2-dimensions, and interact with each other according to a simple rule. Particles move at a constant speed, and their orientation is set to be the average orientation of all particles (including themselves) within an interaction radius, plus a random term. This model has been shown to exhibit complex dynamical behavior, including a 2nd order phase transition, criticality and clustering. This tutorial introduces the model incrementally, and depicts the computation of the order parameter, critical parameter and critical exponent.

The Self-Driven Particle Model was proposed as a minimal description of swarming behavior in 2-dimensions, and has been compared to transport of groups of quadrupeds, bacterial migration and bird flocking. The model is analagous to the Ising model, with particle randomness analagous to temperature, and particle clusters analogous to spin clusters. This system is highly visual, and the emergent properties are easy to visualize. We hope that this introductory tutorial will facilitate visualization and understanding of emergent complex phenomena.
Author Institutional Affiliation
Sam and Nate Reid
Department of Computer Science
University of Colorado at Boulder
Author Email
Tutorial LevelBasic Tutorial
Contest EntryNo

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