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      Particles and fields in fluid turbulence

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          Abstract

          The understanding of fluid turbulence has considerably progressed in recent years. The application of the methods of statistical mechanics to the description of the motion of fluid particles, i.e. to the Lagrangian dynamics, has led to a new quantitative theory of intermittency in turbulent transport. The first analytical description of anomalous scaling laws in turbulence has been obtained. The underlying physical mechanism reveals the role of statistical integrals of motion in non-equilibrium systems. For turbulent transport, the statistical conservation laws are hidden in the evolution of groups of fluid particles and arise from the competition between the expansion of a group and the change of its geometry. By breaking the scale-invariance symmetry, the statistically conserved quantities lead to the observed anomalous scaling of transported fields. Lagrangian methods also shed new light on some practical issues, such as mixing and turbulent magnetic dynamo.

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          Most cited references175

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          Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications

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            Inertial Ranges in Two-Dimensional Turbulence

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              Statistical hydrodynamics

              L ONSAGER (1949)
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                Author and article information

                Journal
                09 May 2001
                Article
                10.1103/RevModPhys.73.913
                cond-mat/0105199
                aaf7d90a-75d5-4b9e-a65b-24c8f1385709
                History
                Custom metadata
                Reviews of Modern Physics, Vol. 73, pp. 913-975, 2001
                165 pages, review article for Rev. Mod. Phys
                cond-mat.stat-mech nlin.CD physics.flu-dyn

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