Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-12-05
Physics
Condensed Matter
Statistical Mechanics
10 pages, 1 figure
Scientific paper
A crucial problem concerning a large variety of fusion devices is that the confinement due to an external magnetic field is lost above a critical density, while a widely accepted first principles explanation of such a fact is apparently lacking. In the present paper, making use of standard methods of statistical mechanics in the Debye--H\"uckel approximation, we give indications that for a plasma there exists a density threshold corresponding to a transition from order to chaos, the ordered motions being those in which the confining Lorentz force on a single electron prevails over the diffusive effect of the Coulomb forces. The density limit, which is proportional to the square of the magnetic field, turns out to fit not too badly the empirical data for plasma collapses in a large set of fusion devices.
Carati Andrea
Galgani Luigi
Maiocchi A.
Marino Marcos
Martines Emilio
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