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This content will become publicly available on March 20, 2026

Title: Memory signatures in path curvature of self-avoidant model particles are revealed by time delayed self mutual information
Emergent behavior in active systems is a complex byproduct of local, often pairwise, interactions. One such interaction is self-avoidance, which experimentally can arise as a response to self-generated environmental signals; such experiments have inspired non-Markovian mathematical models. In previous work, we set out to find “hallmarks of self-avoidant memory in a particle model for environmentally responsive swimming droplets. In our analysis, we found that transient self-trapping was a spatial hallmark of the particle’s self-avoidant memory response. The self-trapping results from the combined effects of behaviors at multiple scales: random reorientations, which occur on the diffusion scale, and the self-avoidant memory response, which occurs on the ballistic (and longer) timescales. In this work, we use the path curvature as it encodes the self-trapping response to estimate an “effective memory lifetime by analyzing the decay of its time-delayed mutual information and subsequently determining the longevity of significant nonlinear correlations. This effective memory lifetime (EML) is longer in systems where the curvature is a product of both self-avoidance and random reorientations as compared to systems without self-avoidance.  more » « less
Award ID(s):
2307297
PAR ID:
10589053
Author(s) / Creator(s):
;
Editor(s):
Green, John Edward
Publisher / Repository:
PLOS
Date Published:
Journal Name:
PLOS Complex Systems
Volume:
2
Issue:
3
ISSN:
2837-8830
Page Range / eLocation ID:
e0000036
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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