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力学学报 1994
NONLINEAR THERMAL INSTABILITY IN AN IDEALIZED DYNAMICAL SYSTEM OF FISOPM PLASMAS
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Abstract:
The nonlinear thermal instabilitv in an idealizeddvnamical svstem ofdeuterium-tritium fusion plasma is discussed in the present paper.There are mass andenergy exchanges between the system and its surroundings.The evolution equations ofzero-dimension approximation are adopted.Firstly,the nonlinear thermal stability criteriaare obtained for the autonomous svstem and five different confinement laws.Then,thenonlinear evolution equations for the disturbances of unstable solution are solveJd for theconstant confinement law.It is shown that the disturbance of number density always tendsto zero,while the disturbance of internal energy approaches asymptotically to a finite valuefor the case of nonlinear instabilitv instead of infinity for the case of linear instability.