Lateral instability of stationary spherical reaction balls

A. Tóth, Péter Kevei, D. Horváth

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Three-dimensional stability of stationary reaction balls is investigated in a system consisting of an autocatalysis accompanied by a slow decay of the autocatalyst. Radially stable stationary spherical structures become unstable to three-dimensional perturbations at small decay rate when the radius of the reaction ball is sufficiently large and the reactant diffuses faster than the autocatalyst. A thorough linear stability analysis and simulations in three spatial dimensions are carried out in the simplest system sustaining stationary reaction balls.

Original languageEnglish
Article number036214
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number3
DOIs
Publication statusPublished - 2006

Fingerprint

balls
Lateral
Ball
autocatalysis
dimensional stability
Three-dimensional
sustaining
Linear Stability Analysis
Decay Rate
decay rates
Unstable
Radius
Decay
Perturbation
perturbation
radii
decay
Simulation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Lateral instability of stationary spherical reaction balls. / Tóth, A.; Kevei, Péter; Horváth, D.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 74, No. 3, 036214, 2006.

Research output: Contribution to journalArticle

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