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It is shown that the observed result of the two-point galaxy correlation function and the three-point correlation function in the Universe agrees with a quasi-equilibrium assumption of mass distribution. Utilizing the form of the three-point correlation, we find that the two-point correlation function can be obtained by solving an equation derived from maximizing entropy under some constraints in a self-gravitating particle model. A generalized non-extensive entropy is also introduced to improve our result. 相似文献
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We analytically study the turbulent acceleration of solar protons by strong Langmuir plasmons in Cerenkov processes.It is shown that among the wave spectra with self-retained source only the Pelletier spectrum (Wk ∝ k^-7/2) can result in the energy spectrum of non-relativistic protons,which gives a good fit to that observed from solar flare events.It is quite possible that strong Langmuir turbulence presents in coronal active region,with three-dimensional,isotropic and stationary spectrum proportional to k^-7/2,and is responsible for the acceleration of flare protons. 相似文献
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This paper analytically investigates the nonlinear behaviour of transverse plasmons in pair plasmas on the basis of the nonlinear governing equations obtained from Vlasov--Maxwell equations. It shows that high frequency transverse plasmons are modulationally unstable with respect to the uniform state of the pair plasma. Such an instability would cause wave field collapse into a localized region. During the collapse process, ponderomotive expulsion is greatly enhanced for the increase of wave field strength, leading to the formation of localized density cavitons which are significant for the future experimental research in the interaction between high frequency electromagnetic waves and pair plasmas. 相似文献
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