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Effect of hyperdiffusivity on turbulent dynamos with helicity

Lookup NU author(s): Professor Axel Brandenburg, Dr Graeme Sarson


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In numerical studies of turbulence, hyperviscosity is often used as a tool to extend the inertial subrange and to reduce the dissipative subrange. By analogy, hyperdiffusivity (or hyperresistivity) is sometimes used in magnetohydrodynamics. The underlying assumption is that only the small scales are affected by this manipulation. In the present paper, possible side effects on the evolution of the large-scale magnetic field are investigated. It is found that for turbulent flows with helicity, hyperdiffusivity causes the dynamo-generated magnetic field to saturate at a higher level than normal diffusivity. This result is successfully interpreted in terms of magnetic helicity conservation, which also predicts that full saturation is reached only after a time comparable to the large-scale magnetic (hyper)diffusion time.

Publication metadata

Author(s): Sarson GR; Brandenburg A

Publication type: Article

Publication status: Published

Journal: Physical Review Letters

Year: 2002

Volume: 88

Issue: 5

ISSN (print): 0031-9007

ISSN (electronic): 1079-7114

Publisher: American Physical Society


DOI: 10.1103/PhysRevLett.88.055003


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