کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
979252 933332 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scaling properties of marathon races
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Scaling properties of marathon races
چکیده انگلیسی

Some regularities in popular marathon races are identified in this paper. It is found for high-performance participants (i.e., racing times in the range [2:15,3:15] h), the average velocity as a function of the marathoner's ranking behaves as a power-law, which may be suggesting the presence of critical phenomena. Elite marathoners with racing times below 2:15 h can be considered as outliers with respect to this behavior. For the main marathon pack (i.e., racing times in the range [3:00,6:00] h), the average velocity as a function of the marathoner's ranking behaves linearly. For this racing times, the interpersonal velocity, defined as the difference of velocities between consecutive runners, displays a continuum of scaling behavior ranging from uncorrelated noise for small scales to correlated 1/f1/f-noise for large scales. It is a matter of fact that 1/f1/f-noise is characterized by correlations extended over a wide range of scales, a clear indication of some sort of cooperative effect.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 365, Issue 2, 15 June 2006, Pages 509–520
نویسندگان
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