CAJ | 학술논문

根据非完整统计的思想，利用最大熵原理，在约束条件下，推导了非广延参数相同和不同情况下正则系统和巨正则系统的统计分布，并借助Matlab绘制概率分布曲线。结果表明，当约束条件中非广延参数相同时，其概率分布为指数形式，这与Tsallis统计分布的幂律形式显然不一样；当约束条件中非广延参数不相同时，其概率分布不能精确求解，通过仿真拟合实现了幂律化。
근거비완정통계적사상，이용최대적원리，재약속조건하，추도료비엄연삼수상동화불동정황하정칙계통화거정칙계통적통계분포，병차조Matlab회제개솔분포곡선。결과표명，당약속조건중비엄연삼수상동시，기개솔분포위지수형식，저여Tsallis통계분포적멱률형식현연불일양；당약속조건중비엄연삼수불상동시，기개솔분포불능정학구해，통과방진의합실현료멱률화。
According to the view of incomplete statistics, using the maximum entropy principle, under the constraint conditions, derived the statistical distribution of canonical ensemble and grand canonical ensemble under the different nonextensive parameters, also the same nonextensive parameters. Meanwhile, the probability distribution curves are plotted using MATLAB. The final result shows,When the Non-extended parameters have the same values, Its probability distribution is exponential form, This is obviously different from the power rate form of Tsallis statistics distribution; When the Non-extended parameters have the different values, The probability distribution can not be solved accurately, the power law fitting is realized by simulation.