Kinetics of Self-Organization in One Component Active Matter Systems
Abstract
We study an inherently nonequilibrium system consisting of self-propelled particles using molecular dynamics simulation in d=2. The system self-organizes through quorum-sensing interactions characterized by an interaction range λ and a parameter cth. When the local concentration sensed by a particle, represented by an auxiliary variable ci(t) exceeds cth, its self-propulsion velocity abruptly drops to zero, leading to the emergence of particle rich domains. For small λ, we observe a droplet-like morphology of clusters, which crosses over to a bicontinuous structure as λ increases. We confirm this transition by computing the eccentricity of the domains. Next, we characterize the evolving domain morphologies using equal-time correlation function C(r,t) and structure factor S(k,t) of the density field. For a fixed λ, the scaled C(r,t)'s at different times are indistinguishable from each other, indicating dynamical scaling. However, at a fixed time t, the scaling functions differ for different values of λ, confirming a λ-dependent morphological transition. In the large-wavevector limit (k→∞), the tail of S(k,t) consistently follows the Porod's law: S(k,t)∼ k−3. Furthermore, the average domain size L(t) exhibits a power-law growth, L(t)∼ t1/3, independent of λ.
Related
- Extended Onsager's variational principle for nonlinear chemical reaction kinetics in active matter
- Density and shape govern the dynamical self-organization of active matter on a droplet
- Active Neural Matter: A Finite-Window Response Framework for Physical Systems and Distributed AI Workflows
- Yielding versus random organization: convex absorbing transitions in soft matter
- Self-organization and collective migration of active condensates
BibTeX
@misc{chauhan2026kinetics,
title = {{Kinetics of Self-Organization in One Component Active Matter Systems}},
author = {Avinash Chauhan and Prasenjit Das},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00618},
eprint = {2611.00618},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00618},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Kinetics of Self-Organization in One Component Active Matter Systems
AU - Avinash Chauhan
AU - Prasenjit Das
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00618
UR - https://arxiv.org/abs/2611.00618
AB - We study an inherently nonequilibrium system consisting of self-propelled particles using molecular dynamics simulation in d=2. The system self-organizes through quorum-sensing interactions characterized by an interaction range λ and a parameter c_th. When the local concentration sensed by a particle, represented by an auxiliary variable c_i(t) exceeds c_th, its self-propulsion velocity abruptly drops to zero, leading to the emergence of particle rich domains. For small λ, we observe a droplet-like morphology of clusters, which crosses over to a bicontinuous structure as λ increases. We confirm this transition by computing the eccentricity of the domains. Next, we characterize the evolving domain morphologies using equal-time correlation function C(r,t) and structure factor S(k,t) of the density field. For a fixed λ, the scaled C(r,t)'s at different times are indistinguishable from each other, indicating dynamical scaling. However, at a fixed time t, the scaling functions differ for different values of λ, confirming a λ-dependent morphological transition. In the large-wavevector limit (k→∞), the tail of S(k,t) consistently follows the Porod's law: S(k,t)∼ k^−3. Furthermore, the average domain size L(t) exhibits a power-law growth, L(t)∼ t^1/3, independent of λ.
ER -