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Bifurcation of Temperature in Edge Plasmas
Author(s) -
Bachmann P.,
Sünder D.,
Wobig H.
Publication year - 2000
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/1521-3986(200006)40:3/4<399::aid-ctpp399>3.0.co;2-v
Subject(s) - thermal conduction , heat flux , bifurcation , plasma , tokamak , physics , mechanics , rotational symmetry , heat equation , bifurcation theory , materials science , nonlinear system , heat transfer , thermodynamics , quantum mechanics
Multiple solutions and bifurcation phenomena of the 1d heat conduction equation are caused by the non‐monotonic dependence of the impurity radiation function on the temperature [1], [2], or nonlinear boundary conditions for the heat flux to the target plates in the high‐recycling regime [3]. This paper deals with temperature bifurcations in radiative edge plasmas. The starting point is the 3‐dimensional heat conduction equation. At first general existence, stability and bifurcation conditions of multiple steady solutions of the 3d heat conduction equation are discussed. Then the 2d energy balance for the edge plasma both of a axisymmetric plasma device and a limiter tokamak is analyzed. Numerical solutions to the derived stationary 2d heat conduction equation demonstrate different aspects of temperature bifurcations.