Foundations of fluctuating hydrodynamics
Abstract
The hydrodynamic equations governing flow fluctuations in a nonlinear medium are analyzed using a generalized Langevin approach. The generalized approach makes it possible to derive Boltzmann equations which describe the distribution of flow fluctuations, assuming the causes of noise in the nonlinear medium can be identified. The method requires no further linearization to determine the degree of variation by which the actual distribution deviates from the Boltzmann equation. Application of the analytical approach to flow fluctuations in stochastic laser media is demonstrated.
- Publication:
-
Fluid Dynamics Transactions
- Pub Date:
- 1985
- Bibcode:
- 1985FlDyT..12...57V
- Keywords:
-
- Boltzmann Transport Equation;
- Computational Fluid Dynamics;
- Fluctuation Theory;
- Hydrodynamic Equations;
- Linear Equations;
- Navier-Stokes Equation;
- Nonlinear Equations;
- Fluid Mechanics and Heat Transfer