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Phase transitions in stigmergic territorial systems

Research output: Contribution to journalArticle

Original languageEnglish
Article number042115
Number of pages8
JournalPhysical Review E
Issue number4
Early online date8 Oct 2018
DateAccepted/In press - 30 Aug 2018
DateE-pub ahead of print - 8 Oct 2018
DatePublished (current) - Oct 2018


A mechanism to generate spatially segregated territories in two dimensions consists of individuals depositing their own marks and avoiding foreign ones. This form of environment-mediated interaction, called stigmergy, makes the emerging spatiotemporal territory dynamics quite rich. Short-lived marks produce rapidly morphing and highly mobile territories. Long-lived marks yield slow territories with a narrowly defined shape distribution. The change in territory mobility depending on the time for which individual marks remain active is accompanied by a liquid-hexatic-solid transition akin to the Kosterlitz-Thouless melting scenario.

    Research areas

  • Animal territoriality, phase transitions, ecology, territorial random walk

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    Accepted author manuscript, 3.69 MB, PDF document


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