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In a recent work Grappin et al. [1] have shown that low- frequency movementscan be transmitted from one footpoint to the other along a magnetic loop, thusmimicking a friction effect of the corona on the photosphere, and invalidatingthe line-tying approximation. We consider here successively the effect of highfrequencies and turbulent damping on the process. We use a very simpleatmospheric model which allows to study analytically the laminar case, and tostudy the turbulent case both using simple phenomenological arguments and amore sophisticated turbulence model [2]. We find that, except when turbulentdamping is such that all turbulence is damped during loop traversal, couplingstill occurs between distant footpoints, and moreover the coronal field inducedby photospheric movements saturates at finite values.

Coupling Photosphere and Corona: Linear and Turbulent Regimes