Journal of Hebei University(Natural Science Edition) ›› 2026, Vol. 46 ›› Issue (4): 367-373.DOI: 10.3969/j.issn.1000-1565.2026.04.004

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Numerical simulation on spiral patterns in gas discharge system

YANG Fan, LIU Shuhua   

  1. College of Science, Hebei Agricultural University, Baoding 071001, China
  • Received:2025-12-11 Published:2026-07-14

Abstract: Dynamics of spiral patterns has been simulated using the Ginzburg-Landau equation. The influences of initial condition, boundary perturbation and boundary shape have been simulated. The simulation result shows that the initial condition and the parameters control the type of pattern; boundary condition incorporates the interplay between the environment and the system. When the symmetry of the boundary conditions is different from the symmetry of the force field, the system state is the result of the two different symmetries interacting. That is the boundary conditions modulate the pattern morphology to some extent. The smaller the area scale, the more obvious the boundary effect.The simulated results match the experiment results. This work is of importance for understanding and controlling spiral patterns.

Key words: spiral wave, pattern, numerical simulation, gas discharge

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