 94383 E. Carlen, R. Esposito, J.L. Lebowitz, R. Marra and A. Rokhlenko
 Nonunique Stationary States in Driven Systems; The Weakly Ionized Plasma
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Dec 2, 94

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Abstract. We study the electron velocity distribution $f(v, t)$
in a weakly ionized spatially homogeneous plasma in an external
electric field $E$. $f$ satisfies a Boltzmann type equation in which
there are linear terms representing collisions with ions and neutral particles having a specified
Maxwellian distribution as well as a nonlinear electronelectron (ee)
collision term. Using simplified collision terms we prove that, when ee collisions dominate, the long time
asymptotic behavior of $f$ is nonunique
for certain ranges of $E$. This provides a rigorous proof of a dynamical
phase transition for a realistic (model) system.
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