Anomalous Collective Dynamics of Autochemotactic Populations

  • Jasper Van Der Kolk
  • , Florian Raßhofer
  • , Richard Swiderski
  • , Astik Haldar
  • , Abhik Basu
  • , Erwin Frey*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

While the role of local interactions in nonequilibrium phase transitions is well studied, a fundamental understanding of the effects of long-range interactions is lacking. We study the critical dynamics of reproducing agents subject to autochemotactic interactions and limited resources. A renormalization group analysis reveals distinct scaling regimes for fast (attractive or repulsive) interactions; for slow signal transduction, the dynamics is dominated by a diffusive fixed point. Furthermore, we present a correction to the Keller-Segel nonlinearity emerging close to the extinction threshold and a novel nonlinear mechanism that stabilizes the continuous transition against the emergence of a characteristic length scale due to a chemotactic collapse.

Original languageEnglish
Article number088201
Number of pages7
JournalPhysical Review Letters
Volume131
Issue number8
DOIs
StatePublished - 23 Aug 2023
Externally publishedYes

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