7.正準力学系での対称性の破れによる非可積分性と揺らぎ(自然科学)

概要

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Symmetry violation of elongation rate and contraction rate of the phase space point spacings which ranged in time series is noticed in order to examine the chaos in canonical systems. On the reason of establishing the symmetry between elongation rate and contraction rate of the phase space point spacings in the integrable system, the canonical transformation which can reduce the variable number which describes the system to the half becomes possible. Moreover, it is shown that the fluctuation property by short range correlation of the consecutive phase space point spacings takes the Gaussian probability distribution function, as the symmetry violations.
広島商船高等専門学校の論文
2006-03-10