Abstract
AbstractUnexpected responses of physical systems to external stimuli can be observed when the stimuli are organized into spatial patterns and, especially, when stimuli of different physical origins are involved, leading to the pattern interaction problem. Combinations of weak stimuli—individually only capable of producing marginal local responses—can produce a global response without involving any bifurcations. Its existence is demonstrated by the interaction of properly tuned topography and temperature patterns. When these patterns overlap in a symmetry preserving manner, the resulting convection has the form of local rolls. When these patterns are misaligned, the resulting convection involves global horizontal particle movement with direction depending on the type of misalignment.
Publisher
Springer Science and Business Media LLC
Reference6 articles.
1. Bloch, F. Über die Quantenmechanik der Elektronen in Kristallgittern. Z. Phys. 52, 555–600 (1928).
2. Rayleigh, J. W. S. On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side. Phil. Mag. 32, 529–546 (1916).
3. Bénard, H. Les Tourbillons Cellulaires dans une Nappe Liquide. Revue Générale Science Pure et Applique 11, 1261–1271 (1900).
4. Hossain, M. Z. & Floryan, J. M. Instabilities of natural convection in a periodically heated layer. J. Fluid Mech. 733, 33–67 (2013).
5. Abtahi, A., Hossain, M. Z. & Floryan, J. M. Spectrally accurate algorithm for analysis of convection in corrugated conduits. Comput. Math. Appl. 72, 2636–2659 (2016).
Cited by
17 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献