CAJ | 학술논문

研究了粒子在RIKEN介观器件中的输运性质, RIKEN器件的理论模型是二维Sinai台球的一种,是研究粒子逃逸曲线混沌性质和分形规律的理想模型之一.采用逃逸曲线定性比较和分形维数定量计算两种方法,得到了开口宽度、腔长、拐角位置、圆弧半径等器件参数对逃逸曲线混沌区域分布的影响规律.结果发现逃逸曲线中存在分形自相似结构,揭示了粒子在RIKEN介观器件腔中输运过程存在的混沌性质,并首次运用“眼式结构”分析和相似比比较等方法对分形自相似结构进行了验证.
연구료입자재RIKEN개관기건중적수운성질, RIKEN기건적이론모형시이유Sinai태구적일충,시연구입자도일곡선혼돈성질화분형규률적이상모형지일.채용도일곡선정성비교화분형유수정량계산량충방법,득도료개구관도、강장、괴각위치、원호반경등기건삼수대도일곡선혼돈구역분포적영향규률.결과발현도일곡선중존재분형자상사결구,게시료입자재RIKEN개관기건강중수운과정존재적혼돈성질,병수차운용“안식결구”분석화상사비비교등방법대분형자상사결구진행료험증.
@@@@The theoretical model of RIKEN mesoscopic device in our study is one kind of the two-dimensional Sinai billiards, which is an ideal model to investigate the chaotic and fractal behaviors in particle escape curves. In the analysis of the escape curves, we use two methods:qualitative comparison and quantitative calculation of the fractal dimensions. Then we obtain the influence of the distribution of chaotic areas caused by the opening width, cavity length, corner positions, arc radius, etc. In the results, we find the fractal self-similar structure of the escape curves in which the similarity is very good, and they display the chaotic property of the transmission in the RIKEN device. Moreover, we use the“eye-style structure”analysis and the comparation between similar ratios to investagate the fractal self-similar structure.