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- W2963157286 abstract "In this sequel we extend the derivation of the third order helicity to magnetic fields supported on unlinked domains in 3-space. The formula is expressed in terms of generators of the deRham cohomology of the configuration space of three points in $R^3$, which is a more practical domain from the perspective of applications. It also admits an ergodic interpretation as an average asymptotic Milnor $bar{mu}_{123}$-invariant and allows us to obtain the $L^2$-energy bound for the magnetic field. As an intermediate step we derive an integral formula for Milnor $bar{mu}_{123}$-invariant for parametrized Borromean links in $R^3$." @default.
- W2963157286 created "2019-07-30" @default.
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- W2963157286 date "2010-12-01" @default.
- W2963157286 modified "2023-10-17" @default.
- W2963157286 title "The third order helicity of magnetic fields via link maps. II" @default.
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- W2963157286 doi "https://doi.org/10.1063/1.3516611" @default.
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