Test of the Fluctuation Relation in lagrangian turbulence on a free surface
arXiv:nlin/0607037 · doi:10.1007/s10955-007-9355-4
Abstract
The statistics of lagrangian velocity divergence are studied for an assembly of particles in compressible turbulence on a free surface. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a particle trajectory represents the local entropy rate, a random variable. The statistics of this rate are shown to be in agreement with the fluctuation relation (FR) over a limited range. The probability distribution functions (PDFs) obtained in this analysis exhibit features different from those observed in previous experimental tests.
arXiv comment10 Pages, 3 figures, 2 tables
References in corpus (28)
- A nonequilibrium equality for free energy differences
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Fluctuation theorem for stochastic dynamics
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
- Nonequilibrium fluctuations in a resistor
- An experimental test of the Jarzynski equality in a mechanical experiment
- A fluidized granular medium as an instance of the Fluctuation Theorem
- Chaotic Hypothesis, Fluctuation Theorem and singularities
- Chaotic principle: an experimental test
- Experimental test of the Gallavotti-Cohen fluctuation theorem in turbulent flows
- Large scale inhomogeneity of inertial particles in turbulent flow
- Chaotic dynamics, fluctuations, nonequilibrium ensembles
- Reexamination of experimental tests of the fluctuation theorem
- Lagrangian tracers on a surface flow: the role of time correlations
- A local fluctuation theorem
- Fluctuation and Dissipation in Liquid Crystal Electroconvection
- Entropy production in nonequilibrium thermodynamics: a review
- Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models
- (Global and Local) Fluctuations of Phase Space Contraction in Deterministic Stationary Non-equilibrium
- Turbulence in a free surface
- Fluctuation theorem applied to the Nosé-Hoover thermostated Lorentz gas
- Kraichnan flow in a square: an example of integrable chaos
- A fluctuation theorem in a random environment
- Measurement of entropy production rate in compressible turbulence
- Entropy production away from the equilibrium
Cited by in corpus (12)
- Probing small-scale intermittency with a fluctuation theorem
- Heat and Fluctuations from Order to Chaos
- Power-law distributions of particle concentration in free-surface flows
- Time-Evolution of a Fractal Distribution: Particle Concentrations in Free-Surface Turbulence
- On the probability distribution of power fluctuations in turbulence
- Fluctuation-theorem and extended thermodynamics of turbulence
- Fluctuation Theorem and Chaos
- Decorrelating a compressible turbulent flow: an experiment
- Fluctuation Theorem, non linear response and the regularity of time reversal symmetry
- Large deviation statistics of non-equilibrium fluctuations in a sheared model-fluid
- Search for conformal invariance in compressible two-dimensional turbulence
- Pattern stabilisation in swarms of programmable active matter: a probe for turbulence at large length scales