TY - JOUR
T1 - Anomalous Collective Dynamics of Autochemotactic Populations
AU - Van Der Kolk, Jasper
AU - Raßhofer, Florian
AU - Swiderski, Richard
AU - Haldar, Astik
AU - Basu, Abhik
AU - Frey, Erwin
N1 - Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2023/8/23
Y1 - 2023/8/23
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85169295994&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.131.088201
DO - 10.1103/PhysRevLett.131.088201
M3 - Article
C2 - 37683146
AN - SCOPUS:85169295994
SN - 0031-9007
VL - 131
JO - Physical Review Letters
JF - Physical Review Letters
IS - 8
M1 - 088201
ER -