Langevin and diffusion equation of turbulent fluid flow
نویسندگان
چکیده
منابع مشابه
Fluid mechanics, turbulent flow and turbulence modeling
This course material is used in two courses in the International Master’s programmeAppliedMechanics at Chalmers. The two courses are TME225 Mechanics of fluids (Chapters 1-10), and MTF270 Turbulence Modeling (Chapters 11-27). MSc students who follow these courses are supposed to have taken one basic course in fluid mechanics. The lecture notes are also used in the three-day course Unsteady Simu...
متن کاملLangevin equation approach to diffusion magnetic resonance imaging.
The normal phase diffusion problem in magnetic resonance imaging (MRI) is treated by means of the Langevin equation for the phase variable using only the properties of the characteristic function of Gaussian random variables. The calculation may be simply extended to anomalous diffusion using a fractional generalization of the Langevin equation proposed by Lutz [E. Lutz, Phys. Rev. E 64, 051106...
متن کاملMean Velocity Equation for Turbulent Fluid Flow: An Approach via Classical Statistical Mechanics
The possibility to derive an equation for the mean velocity field in turbulent flow by using classical statistical mechanics is investigated. An application of projection operator technique available in the literature is used for this purpose. It is argued that the hydrodynamic velocity defined there, in situations where the fluid is turbulent, is to be interpreted as the mean velocity field; i...
متن کاملFractional Langevin equation.
We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both subdiffusion and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of these two forms of anomalous diffu...
متن کاملThe chemical Langevin equation
The stochastic dynamical behavior of a well-stirred mixture of N molecular species that chemically interact through M reaction channels is accurately described by the chemical master equation. It is shown here that, whenever two explicit dynamical conditions are satisfied, the microphysical premise from which the chemical master equation is derived leads directly to an approximate time-evolutio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2010
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.3466658