Application of Stochastic Variational Method to Hydrodynamics

Details Application of Stochastic Variational Method to Hydrodynamics Application of Stochastic Variational Method to Hydrodynamics

2011-11-25

arxiv.org/abs/1111.6034v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 3 figures, the proceeding of sigmaphi2011, Cyprus, 11, July, 2011

Scientific paper

We apply the stochastic variational method to the action of the ideal fluid and showed that the Navier-Stokes equation is derived. In this variational method, the effect of dissipation is realized as the direct consequence of the fluctuation dissipation theorem. Differently from the previous works \cite{kk1,kk2}, we parameterize the Lagrangian of SVM in more general form. The form of the obtained equation is not modified but the definition of the transport coefficients are changed. We further discuss the formulation of SVM using the Hamiltonian and show that the variation of the Hamiltonian gives the same result as the case of the Lagrangian.

Affiliated with

Also associated with

No associations

Rating

Application of Stochastic Variational Method to Hydrodynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Application of Stochastic Variational Method to Hydrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Application of Stochastic Variational Method to Hydrodynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-174708