Dynamical Origin of Power Spectra

We discuss a possible origin of Tsallis' statistics from the correlation among constituents which reduces the phase space of the system. We also show that in the system of coupled linear harmonic oscillators can exhibit a Tsallis type behavior.Comment: 22 pages, 7 figures, prepared for the European Physical Journal A - Hadrons and Nucle

Navier-Stokes Equation by Stochastic Variational Method

We show for the first time that the stochastic variational method can naturally derive the Navier-Stokes equation starting from the action of ideal fluid. In the frame work of the stochastic variational method, the dynamical variables are extended to stochastic quantities. Then the effect of dissipation is realized as the direct consequence of the fluctuation-dissipation theorem. The present result reveals the potential availability of this approach to describe more general dissipative processes.Comment: 5 pages, no figure, discussions and references are added, errors in Sec. IV were correcte