【摘 要】
：
本文研究了粒子在二维弱开口的Bunimovich Stadium 型介观混沌器件中的逃逸规律.我们利用经典统计的方法,通过改变器件端口宽度、圆弧半径及器件腔长等参数,首次发现随器件各
【机 构】
：
山东师范大学物理与电子科学学院山东大学物理学院
【出 处】
：
第五届全国计算原子与分子物理学术会议
论文部分内容阅读
本文研究了粒子在二维弱开口的Bunimovich Stadium 型介观混沌器件中的逃逸规律.我们利用经典统计的方法,通过改变器件端口宽度、圆弧半径及器件腔长等参数,首次发现随器件各项参数变化的分形维数与粒子逃逸率趋势吻合,并揭示了混沌体系的逃逸指数受器件形状的影响.统计并拟合了粒子逃逸率与粒子波数大小的关系,数值结果表明,粒子逃逸率与波数为二次函数关系,但逃逸率与能量大小不是严格的线性关系.我们进一步分析了在器件入口处粒子的衍射效应对粒子逃逸的影响,结果表明,衍射效应使粒子逃逸率增加,且粒子数的演化在时间较短时不再满足指数关系,长时间的演化再次满足指数衰减规律.
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