Maximum entropy principle and statistical distribution of ocean wave heights |
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Authors: | Wu Kejian and Sun Fu |
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Affiliation: | 1.Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China2.Laboratory of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China |
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Abstract: | This paper concerns an application of a popular existing law, the maximum entropy principle, to the study of statistical distribution of the ocean wave heights. Under two proper premisses. a conclusion that the wave heights obey the Weibull distribution is drawn by making use of the maximum entropy principle. From this result, we hold that the intnnsic departures using the Rayleigh distribution to describe The realistic wave height must exist, and the Weibull distribution usually used as an empirical one has profound origin in physics. The Gluhovskli's empirical wave heights distribution relying on water depth is also discussed briefly, and a possible physical explanation associated with the maximum entropy principle is carried out. |
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Keywords: | Entropy Rayleigh distribution Weibull distribution |
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