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Orientational hysteresis in swarms of active particles in external field
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
2015 (English)In: The European Physical Journal Special Topics, ISSN 1951-6355, E-ISSN 1951-6401, Vol. 224, no 7, 1359-1376 p.Article in journal (Refereed) Published
Abstract [en]

Structure and ordering in swarms of active particles have much in common with condensed matter systems like magnets or liquid crystals. A number of important characteristics of such materials can be obtained via dynamic tests such as hysteresis. In this work, we show that dynamic hysteresis can be observed also in swarms of active particles and possesses similar properties to the counterparts in magnetic materials. To study the swarm dynamics, we use computer simulations of the active Brownian particle model with dissipative interactions. The swarm is confined to a narrow linear channel and the one-dimensional polar order parameter is measured. In an oscillating external field, the order parameter demonstrates dynamic hysteresis with the shape of the loop and its area varying with the amplitude and frequency of the applied field, swarm density and the noise intensity. We measure the scaling exponents for the hysteresis loop area, which can be associated with the controllability of the swarm. Although the exponents are non-universal and depend on the system's parameters, their limiting values can be predicted using a generic model of dynamic hysteresis. We also discuss similarities and differences between the swarm ordering dynamics and two-dimensional magnets.

Place, publisher, year, edition, pages
2015. Vol. 224, no 7, 1359-1376 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-260309DOI: 10.1140/epjst/e2015-02464-1ISI: 000358173000014OAI: oai:DiVA.org:uu-260309DiVA: diva2:847502
Note

Funding: Irish Research Council for Science, Engineering and Technology (IRCSET)

Available from: 2015-08-20 Created: 2015-08-18 Last updated: 2017-12-04Bibliographically approved

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Romensky, Maxym

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