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Dynamics and steady states in excitable mobile agent systems.

Fernando Peruani1, Gustavo J Sibona

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany.

Physical Review Letters
|June 4, 2008
PubMed
Summary

This study explores excitation spreading in 2D mobile agent systems. We found that agent dynamics and contact rates critically influence excitation, revealing three distinct spreading regimes.

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Area of Science:

  • Complex systems
  • Agent-based modeling
  • Statistical physics

Background:

  • Excitations can spread through contact in systems of mobile agents.
  • The dynamics of these agents and their interactions are key to understanding spread patterns.

Purpose of the Study:

  • To investigate how excitation spreads in 2D mobile agent systems.
  • To determine the influence of agent spatial dynamics and contact rates on excitation propagation.
  • To identify distinct regimes of excitation spreading.

Main Methods:

  • Modeling excitation transmission via contact between quiescent and excited agents over a non-vanishing time.
  • Analyzing the impact of agent-agent contact rate (CR) and exposition time (omega).
  • Characterizing steady states and the number of quiescent agents (S) under varying CR.

Main Results:

  • Steady states are highly dependent on spatial agent dynamics.
  • Excitation dynamics exhibit three regimes based on CR.
  • In the excited regime, the number of quiescent agents (S) is inversely proportional to CR.
  • A novel third regime for high CR shows S scaling with an exponent related to omega's scaling with CR.

Conclusions:

  • Agent spatial dynamics and the interplay between exposition time and contact rate are crucial for excitation spreading.
  • The identified three regimes offer a new framework for understanding excitation dynamics in such systems.
  • This research provides insights into the complex behavior of spreading phenomena in mobile agent systems.