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IntroductionIn the absence of external force fields,the modifiedBoltzmann equations governing Bose- Einsteinparticles and Fermi- Dirac particles can be unifiedto the following form[13 ] ,f(x,v,t)t +v .xf(x,v,t) =Qα(f) (x,v,t) ,(x,v,t)∈ R3× R3× R+ , (BQE)whereα is proportional to h3 (h is Planck' scostant) and R+ =[0 ,∞ ) .The solution f=f(x,v,t) is the particle number density for the gasparticles possessing quantum effects at time t andposition x with velocity v.In a dilute g… 相似文献
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IntroductionAs in Zhang and Lu[1] ,we can write the modifiedBoltzmann equation for particles with quantumeffects in the absence of external force fields asfollows[2 5] :f(x,v,t)t +v .xf(x,v,t) =Qα(f) (x,v,t) ,(x,v,t)∈ R3 × R3 × R+ , (BQE)whereα is proportional to h3 (h is Planck' sconstant) and R+ =[0 ,∞ ) .Let f =f (x,v,t)denote the particle number density for the gasparticles with quantum effects at time t andposition x with velocity v.The collision integralQα(f) in the BQ… 相似文献
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