Trail-Mediated Self-Interaction

W. Till Kranz; Ramin Golestanian

doi:10.1063/1.5081122

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arXiv · 1811.05805

Trail-Mediated Self-Interaction

W. Till Kranz·Ramin Golestanian

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Abstract

A number of microorganisms leave persistent trails while moving along surfaces. For single-cell organisms, the trail-mediated self-interaction will influence its dynamics. It has been discussed recently [Kranz \textit{et al.} Phys. Rev. Lett. \textbf{117}, 8101 (2016)] that the self-interaction may localize the organism above a critical coupling $χ_c$ to the trail. Here we will derive a generalized active particle model capturing the key features of the self-interaction and analyze its behavior for smaller couplings $χ< χ_c$. We find that fluctuations in propulsion speed shift the localization transition to stronger couplings.

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W. Till Kranz, Ramin Golestanian. 2019-06-06. Trail-Mediated Self-Interaction. https://doi.org/10.1063/1.5081122

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