Spatially-Periodic Cluster Pattern of Coupled Forced Oscillators

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Hidetsugu Sakaguchi
Cited by: 0

Abstract

We propose a simple model for periodic clustering of particles under forced oscillation. Effective viscosity is assumed to increase owing to neighboring particles by analogy with the Einstein viscosity law. The linear stability analysis and numerical simulations show that the uniform distribution is unstable, and spatially-periodic and stripe patterns appear respectively in one and two dimensions.

Fields of Study & Subjects

Nonlinear Dynamics and Pattern Formation Dust and Plasma Wave Phenomena stochastic dynamics and bifurcation

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint