کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899853 1534065 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Survival probability for the stadium billiard
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Survival probability for the stadium billiard
چکیده انگلیسی

We consider the open stadium billiard, consisting of two semicircles joined by parallel straight sides with one hole situated somewhere on one of the sides. Due to the hyperbolic nature of the stadium billiard, the initial decay of trajectories, due to loss through the hole, appears exponential. However, some trajectories (bouncing ball orbits) persist and survive for long times and therefore form the main contribution to the survival probability function at long times. Using both numerical and analytical methods, we concur with previous studies that the long-time survival probability for a reasonably small hole drops like Constant×(time)−1Constant×(time)−1; here we obtain an explicit expression for the Constant.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issues 23–24, December 2009, Pages 2395–2403
نویسندگان
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