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Microscopic Variability Alters Macroscopic Rotation Speed in Stochastic Spiral Waves

Year: 2025

Type: preprint

Abstract: We present a general theory for noise-induced corrections to the angular velocity of spiral waves. Stochasticity produces two second-order effects: an instantaneous term from heterogeneity that always slows rotation, and an orbital-drift term from temporal fluctuations that can either accelerate or decelerate it. For our parameters, orbital drift is weaker, producing a net slowdown. Analytical predictions match Barkley-model simulations with temporal noise. Examination of additional noise types in silico confirms angular velocity slowing. This mechanism provides a robust route by which stochasticity reshapes spiral dynamics in excitable media, with direct implications for arrhythmias and neural wave propagation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2511.21710

Authors: Kamphuis, Jolien, Kabus, Desmond, Hupkes, Hermen Jan, De Coster, Tim

Institutions: Leiden University, University of Applied Sciences Leiden, Leiden University Medical Center

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, HORIZON EUROPE Framework Programme

OpenAlex ID: W4416940375

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