Seminar talk, 27 February 2006: Difference between revisions
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{{Talk | {{Talk | ||
| speaker = Petr Akhmet'ev | | speaker = Petr Akhmet'ev | ||
| title = On high-order analogs of magnetic helicity integral. Part 1 | | title = On high-order analogs of magnetic helicity integral. Part 1 | ||
| abstract = Magnetic field in an ideal conducting liquid medium satisfies the conservation law of helicity. In a conducting medium with a nonzero magnetic diffusion coefficient the rate of change of magnetic helicity is determined by the current helicity integral. This relation can be explained from topological considerations. The current helicity is computed in experiments. | | abstract = Magnetic field in an ideal conducting liquid medium satisfies the conservation law of helicity. In a conducting medium with a nonzero magnetic diffusion coefficient the rate of change of magnetic helicity is determined by the current helicity integral. This relation can be explained from topological considerations. The current helicity is computed in experiments. | ||
Latest revision as of 18:27, 18 February 2010
Speaker: Petr Akhmet'ev
Title: On high-order analogs of magnetic helicity integral. Part 1
Abstract:
Magnetic field in an ideal conducting liquid medium satisfies the conservation law of helicity. In a conducting medium with a nonzero magnetic diffusion coefficient the rate of change of magnetic helicity is determined by the current helicity integral. This relation can be explained from topological considerations. The current helicity is computed in experiments.
The talk discusses higher analogs (related to higher algebraic invariants of knots and links) of magnetic and current helicity.
References:
P.M. Akhmet’ev, O.V. Kunakovskaya, and V.A. Kutvitskii, Remark on the dissipation of the magnetic helicity integral, 158 (2009) 125-134, doi:10.1007/s11232-009-0010-x; Russian original: Teor. Mat. Fiz. 158 (2009) 150-160, Mi tmf6305