核聚变与等离子体物理
覈聚變與等離子體物理
핵취변여등리자체물리
NUCLEAR FUSION AND PLASMA PHYSICS
2015年
2期
97-102
,共6页
赵康%蒋海斌%何宏达%何志雄
趙康%蔣海斌%何宏達%何誌雄
조강%장해빈%하굉체%하지웅
高能量粒子%尾隆分布%色散函数
高能量粒子%尾隆分佈%色散函數
고능량입자%미륭분포%색산함수
Energetic particles%Bump-on-tail%Dispersion function
当同时使用离子(或电子)回旋及中性束注入方式加热等离子体时,高能量粒子的能量分布函数一般应为尾部隆起(简称尾隆)分布。这种具有正能量梯度区域的分布函数更容易激发不稳定性,同时由于分布函数尾部隆起,在色散关系中引入了新的色散函数。主要研究了这种新色散函数的计算方法,结果表明:色散函数实部是关于原点对称的奇函数;而虚部则是关于纵轴对称的偶函数。色散函数的实部有2~4个极值点且极值点的位置与尾隆分布函数的能量梯度Δ有关、虚部有1~3个极值点但极值点位置与Δ无关。当其宗量趋于无穷大时,色散函数的值趋于零。当尾隆分布趋近于麦克斯韦分布时,用该方法计算的结果与色散函数表中给出的结果非常吻合。
噹同時使用離子(或電子)迴鏇及中性束註入方式加熱等離子體時,高能量粒子的能量分佈函數一般應為尾部隆起(簡稱尾隆)分佈。這種具有正能量梯度區域的分佈函數更容易激髮不穩定性,同時由于分佈函數尾部隆起,在色散關繫中引入瞭新的色散函數。主要研究瞭這種新色散函數的計算方法,結果錶明:色散函數實部是關于原點對稱的奇函數;而虛部則是關于縱軸對稱的偶函數。色散函數的實部有2~4箇極值點且極值點的位置與尾隆分佈函數的能量梯度Δ有關、虛部有1~3箇極值點但極值點位置與Δ無關。噹其宗量趨于無窮大時,色散函數的值趨于零。噹尾隆分佈趨近于麥剋斯韋分佈時,用該方法計算的結果與色散函數錶中給齣的結果非常吻閤。
당동시사용리자(혹전자)회선급중성속주입방식가열등리자체시,고능량입자적능량분포함수일반응위미부륭기(간칭미륭)분포。저충구유정능량제도구역적분포함수경용역격발불은정성,동시유우분포함수미부륭기,재색산관계중인입료신적색산함수。주요연구료저충신색산함수적계산방법,결과표명:색산함수실부시관우원점대칭적기함수;이허부칙시관우종축대칭적우함수。색산함수적실부유2~4개겁치점차겁치점적위치여미륭분포함수적능량제도Δ유관、허부유1~3개겁치점단겁치점위치여Δ무관。당기종량추우무궁대시,색산함수적치추우령。당미륭분포추근우맥극사위분포시,용해방법계산적결과여색산함수표중급출적결과비상문합。
In general, the energy distribution of energetic particles is bump-on-tail when both the neutral beam injection and electron/ion cyclotron resonant heating are used in tokamak plasma experiment. It is easier to induce instability for energy distribution profile with positive energy gradient regions existing such as the bump-on-tail. Therefore, a new dispersion function is introduced in dispersion relation due to bump-on-tail of the energy distribution. The calculation method of the new dispersion function is studied. T results show that the real and imaginary parts of dispersion functions are odd and even functions respectively. There are 2 to 4 extremes for real parts of the dispersion function and the positions of the extremes are dependent on Δ, the gradient of the energy distribution, whereas there are 1 to 3 extremes for imaginary parts and the positions of these extremes are independent ofΔ. Both the real and imaginary parts of the dispersion function go to zero when the arguments of Zt go to infinity. The calculated values agree very well with those given in dispersion function table when the bump-on-tail distribution goes to Maxwellian distribution.