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arXiv · 0806.2308

Dynamics and Steady States in excitable mobile agent systems

Fernando Peruani·Gustavo J. Sibona
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Abstract

We study the spreading of excitations in 2D systems of mobile agents where the excitation is transmitted when a quiescent agent keeps contact with an excited one during a non-vanishing time. We show that the steady states strongly depend on the spatial agent dynamics. Moreover, the coupling between exposition time ($ω$) and agent-agent contact rate (CR) becomes crucial to understand the excitation dynamics, which exhibits three regimes with CR: no excitation for low CR, an excited regime in which the number of quiescent agents (S) is inversely proportional to CR, and for high CR, a novel third regime, model dependent, here S scales with an exponent $ξ-1$, with $ξ$ being the scaling exponent of $ω$ with CR.

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Fernando Peruani, Gustavo J. Sibona. 2008-06-16. Dynamics and Steady States in excitable mobile agent systems. https://doi.org/10.1103/physrevlett.100.168103

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