7,887 research outputs found
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
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