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        Fluctuations in Humans's Walking II

        Tsunehiro OBATA,Hiroaki HARA,Hiroshi OSHIMA,Hitoshi OSAKI,Takayuki SHIMIZU 한국물리학회 2005 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.46 No.3

        Mathematical laws in the walking of human beings are experimentally investigated using inexpensive GPS receivers. Subjects with their eyes blindfolded and ears stoppled are asked to walk straight on a wide playground. Then, the subjects behave like random walkers. How do the subjects walk? When persons move in whiteout, such as in snowy mountains veiled in dense fog or mist, they are often reported to wander along ring-like orbits and return near the start point. Similar ring-wandering phenomena are produced by a controlled eld experiment. The ring-wandering tendency in an old person is found to be stronger than that in a young person. The time series X(t) and Y (t) of the walking trajectories in a Descartes X-Y coordinate system set up on the playground are studied using a Hurst R/S analysis and a power spectrum analysis. Both the time series have a 1=f characteristic in the frequency region 10 mHz . f . 500 mHz, where is a numerical factor of order 1 and depends on each person. For frequencies less than the lower bound, peaks relating to ring-wandering walks are observed. The upper bound frequency of 500 mHz is not a characteristic of walking, but a limit due to the performance of the GPS receivers used in this experiment, which output position data every second. The R/S analysis of the time series X(t) and Y (t) shows that the Hurst exponent H is independent of any walker and any walking and that H is almost equal to one.

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