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Spatial localization in rotating convection and magnetoconvection

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Abstract

Stationary spatially localized states are present in both rotating convection and magnetoconvection. In two-dimensional convection with stress-free boundary conditions, the formation of such states is due to the interaction between convection and a large scale mode: zonal velocity in rotating convection and magnetic potential in magnetoconvection. We develop a higher order theory, a nonlocal fifth order Ginzburg-Landau equation, to describe the effects of spatial modulation near a codimension-two point. Two different bifurcation scenarios are identified. Our results shed light on numerical studies of two-dimensional convective systems with stress-free boundary conditions. This paper is dedicated to Professor Helmut Brand on the occasion of his 60th birthday.

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Authors and Affiliations

  1. Department of Physics, University of California, Berkeley, CA, 94720, USA

    H.-C. Kao & E. Knobloch

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  1. H.-C. Kao
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  2. E. Knobloch
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Correspondence to H.-C. Kao.

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Kao, HC., Knobloch, E. Spatial localization in rotating convection and magnetoconvection. Eur. Phys. J. Spec. Top. 223, 99–120 (2014). https://doi.org/10.1140/epjst/e2014-02087-0

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  • DOI: https://doi.org/10.1140/epjst/e2014-02087-0

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