A time-delayed response of individual living organisms to information exchanged within flocks or swarms
leads to the emergence of complex collective behaviors. A recent experimental setup by (Khadka et al 2018
Nat. Commun. 9 3864), employing synthetic microswimmers, allows to emulate and study such behavior
in a controlled way, in the lab. Motivated by these experiments, we study a system of N Brownian particles
interacting via a retarded harmonic interaction. For N 3 , we characterize its collective behavior
analytically, by solving the pertinent stochastic delay-differential equations, and for N>3 by Brownian
dynamics simulations. The particles form molecule-like non-equilibrium structures which become
unstable with increasing number of particles, delay time, and interaction strength. We evaluate the entropy
and information fluxes maintaining these structures and, to quantitatively characterize their stability,
develop an approximate time-dependent transition-state theory to characterize transitions between
different isomers of the molecules. For completeness, we include a comprehensive discussion of the
analytical solution procedure for systems of linear stochastic delay differential equations in finite
dimension, and new results for covariance and time-correlation matrices
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:84950 |
| Date | 26 April 2023 |
| Creators | Geiss, Daniel, Kroy, Klaus, Holubec, Viktor |
| Publisher | IOP Publishing |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | 1367-2630, 093014 |
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