Statistics of 3-dimensional Lagrangian turbulence
arXiv:cond-mat/0606655 · doi:10.1103/PhysRevLett.98.064502
Abstract
We consider a superstatistical dynamical model for the 3-d movement of a Lagrangian tracer particle embedded in a high-Reynolds number turbulent flow. The analytical model predictions are in excellent agreement with recent experimental data for flow between counter-rotating disks. In particular, we calculate the Lagrangian scaling exponents zeta_j for our system, and show that they agree well with the measured exponents reported in [X. Hu et al., PRL 96, 114503 (2006)]. Moreover, the model correctly predicts the shape of velocity difference and acceleration probability densities, the fast decay of component correlation functions and the slow decay of the modulus, as well as the statistical dependence between acceleration components. Finally, the model explains the numerically [P.K. Yeung and S.B. Pope, J. Fluid Mech. 207, 531 (1989)] and experimentally observed fact [B.W. Zeff et al., Nature 421, 146 (2003)] that enstrophy lags behind dissipation.
arXiv comment5 pages, 3 figures. Replaced by final version accepted by Phys. Rev. Lett
References in corpus (13)
- Superstatistics
- Fluid Particle Accelerations in Fully Developed Turbulence
- Dynamical foundations of nonextensive statistical mechanics
- Measurement of Particle Accelerations in Fully Developed Turbulence
- Measurement of Lagrangian velocity in fully developed turbulence
- From time series to superstatistics
- Lagrangian dynamics and statistical geometric structure of turbulence
- Long time correlations in Lagrangian dynamics: a key to intermittency in turbulence
- The 3D structure of the Lagrangian acceleration in turbulent flows
- Lagrangian Velocity Statistics in Turbulent Flows: Effects of Dissipation
- Lagrangian acceleration statistics in turbulent flows
- Superstatistics in hydrodynamic turbulence
- Conditional Lagrangian acceleration statistics in turbulent flows with Gaussian distributed velocities
Cited by in corpus (54)
- Generalized information and entropy measures in physics
- Superstatistics, thermodynamics, and fluctuations
- Lagrangian Structure Functions in Turbulence: A Quantitative Comparison between Experiment and Direct Numerical Simulation
- Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
- Superstatistical fluctuations in time series: Applications to share-price dynamics and turbulence
- Generalized statistical mechanics for superstatistical systems
- Superstatistical distributions from a maximum entropy principle
- Thermostatistics of deformed bosons and fermions
- Superstatistical approach to air pollution statistics
- Intermediate statistics as a consequence of deformed algebra
- Escort mean values and the characterization of power-law-decaying probability densities
- Universal spectral features of different classes of random diffusivity processes
- Tsallis distributions and 1/f noise from nonlinear stochastic differential equations
- Kinetic theory of two dimensional point vortices from a BBGKY-like hierarchy
- Lagrangian structure functions in fully-developed hydrodynamical turbulence
- Variation of fundamental constants in space and time: theory and observations
- Universality Classes of Fluctuation Dynamics in Hierarchical Complex Systems
- Statistics of Lagrangian quantum turbulence
- Two temperature Ising Model
- On superstatistical multiplicative-noise processes
- Scaling of acceleration statistics in high Reynolds number turbulence
- Lifetime distributions in the methods of non-equilibrium statistical operator and superstatistics
- The classical ether-drift experiments: a modern re-interpretation
- Analyzing Spatio-Temporal Dynamics of Dissolved Oxygen for the River Thames using Superstatistical Methods and Machine Learning
- Superstatistical analysis of sealevel fluctuations
- Multicanonical distribution: Statistical equilibrium of multiscale systems
- Spatio-temporal complexity of power-grid frequency fluctuations
- Generalization of the Beck-Cohen superstatistics
- Cosmic Microwave Background and the issue of a fundamental preferred frame
- Power-law statistics in the velocity fluctuations of Brownian particle in inhomogeneous media and driven by colored noise
- Non-parametric segmentation of non-stationary time series
- Statistical mixing and aggregation in Feller diffusion
- Superstatistics and temperature fluctuations
- Fluctuations of entropy and log-normal superstatistics
- Superstatistics and the quest of generalized ensembles equivalence in a system with long-range interactions
- Universal properties of primary and secondary cosmic ray energy spectra
- A maximum entropy approach to H-theory: Statistical mechanics of hierarchical systems
- Nuclear and Quark Matter at High Temperature
- Cosmic Background Radiation and `ether-drift' experiments
- Phase-space Lagrangian dynamics of incompressible thermofluids
- Multi-time structure functions and the Lagrangian scaling of turbulence
- On the possible distributions of temperature in nonequilibrium steady states
- Lagrangian quantum turbulence model based on alternating superfluid/ normal fluid stochastic dynamics
- Extreme Value Laws for Superstatistics
- On discrete stochastic processes with long-lasting time dependence
- Superstatistical wind fields from point-wise atmospheric turbulence measurements
- Conditional maximum entropy and Superstatistics
- Spatial analysis of tails of air pollution PDFs in Europe
- Generalized Fisher information matrix in nonextensive systems with spatial correlation
- First passage time for superstatistical Fokker-Planck models
- A Solution Method for the Reynolds-Averaged Navier-Stokes Equation
- Minding impacting events in a model of stochastic variance
- Fluctuations of water quality time series in rivers follow superstatistics
- Skewed superstatistical distributions from a Langevin and Fokker-Planck approach