In devil's staircase behaviour infinite magnetic configurations imply there's infinite magnetic energy?
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At the moment this is a theoretical mathematical study, but two researchers from UCM have recently proved that, in certain conditions, magnetic fields can send particles to infinity, according to the study published in the journal Quarterly of Applied Mathematics.
"If a particle 'escapes' to infinity it means two things: that it will never stop, and "something else", Antonio Diaz-Cano, one of the authors, explained to SINC. Regarding the first, the particle can never stop, but it can be trapped, doing circles forever around a point, never leaving an enclosed space.
However, the "something else" goes beyond the established limits. "If we imagine a spherical surface with a large radius, the particle will cross the surface going away from it, however big the radius may be" the researcher declares.
Hope it's help you
At the moment this is a theoretical mathematical study, but two researchers from UCM have recently proved that, in certain conditions, magnetic fields can send particles to infinity, according to the study published in the journal Quarterly of Applied Mathematics.
"If a particle 'escapes' to infinity it means two things: that it will never stop, and "something else", Antonio Diaz-Cano, one of the authors, explained to SINC. Regarding the first, the particle can never stop, but it can be trapped, doing circles forever around a point, never leaving an enclosed space.
However, the "something else" goes beyond the established limits. "If we imagine a spherical surface with a large radius, the particle will cross the surface going away from it, however big the radius may be" the researcher declares.
Hope it's help you
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Critical behaviour at the transition by breaking of analyticity and application to the Devil's staircase Article (PDF Available) in Journal of Physics C Solid State Physics 17(3):389
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