Open AccessAn Expression for the Temperature Gradient in Chaotic Fields
Author(s) -
S R Hudson
Publication year - 2008
Language(s) - English
Resource type - Reports
DOI - 10.2172/950502
Subject(s) - chaotic , invariant (physics) , expression (computer science) , physics , classical mechanics , mathematical analysis , magnetic field , action (physics) , temperature gradient , flow (mathematics) , mathematics , geometry , mechanics , computer science , mathematical physics , quantum mechanics , artificial intelligence , programming language
A coordinate system adapted to the invariant structures of chaotic magnetic fields is constructed. The coordinates are based on a set of ghost-surfaces, defined via an action-gradient flow between the minimax and minimizing periodic orbits. The construction of the chaotic coordinates allows an expression describing the temperature gradient across a chaotic magnetic field to be derived. The results are in close agreement with a numerical calculation