科研之友
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摘要
In this sequel we extend the derivation of the third order helicity to magnetic fields supported on unlinked domains in three-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 (mu) over bar (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 (mu) over bar (123)-invariant for parametrized Borromean links in R-3.
- 出版日期2010-12
