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Spontaneous trail formation in populations of auto-chemotactic walkers

Please always quote using this URN: urn:nbn:de:0297-zib-84466
  • We study the formation of trails in populations of self-propelled agents that make oriented deposits of pheromones and also sense such deposits to which they then respond with gradual changes of their direction of motion. Based on extensive off-lattice computer simulations aiming at the scale of insects, e.g., ants, we identify a number of emerging stationary patterns and obtain qualitatively the non-equilibrium \add{state} diagram of the model, spanned by the strength of the agent--pheromone interaction and the number density of the population. In particular, we demonstrate the spontaneous formation of persistent, macroscopic trails, and highlight some behaviour that is consistent with a dynamic phase transition. This includes a characterisation of the mass of system-spanning trails as a potential order parameter. We also propose a dynamic model for a few macroscopic observables, including the sub-population size of trail-following agents, which captures the early phase of trail formation.

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Metadaten
Author:Zahra Mokhtari, Robert I. A. Patterson, Felix Höfling
Document Type:ZIB-Report
MSC-Classification:82-XX STATISTICAL MECHANICS, STRUCTURE OF MATTER
PACS-Classification:80.00.00 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
Date of first Publication:2021/10/22
Series (Serial Number):ZIB-Report (21-36)
ISSN:1438-0064
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