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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
Volume98
Issue number4
Early online date8 Oct 2018
DOIs
DateAccepted/In press - 30 Aug 2018
DateE-pub ahead of print - 8 Oct 2018
DatePublished (current) - Oct 2018

Abstract

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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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via APS at https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.042115 . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 3 MB, PDF document

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