Two-dimensional turbulence

GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS

1963 • 13,038 citations

An Introduction to Fluid Dynamics

2000 • 12,270 citations

Ordering, metastability and phase transitions in two-dimensional systems

1973 • 8,845 citations

A First Course in Turbulence

1972 • 8,015 citations

Inertial Ranges in Two-Dimensional Turbulence

1967 • 3,050 citations

The theory of homogeneous turbulence

1953 • 2,956 citations

Diffusion by Continuous Movements

1922 • 2,887 citations

A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number

1962 • 2,817 citations

The critical properties of the two-dimensional xy model

1974 • 2,726 citations

Magnetic field generation in electrically conducting fluids

1978 • 2,474 citations

Statistical hydrodynamics

1949 • 2,387 citations

Dislocation-mediated melting in two dimensions

1979 • 2,263 citations

Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model

1977 • 1,841 citations

Theory of Two-Dimensional Melting

1978 • 1,835 citations

Statistical Dynamics of Classical Systems

1973 • 1,809 citations

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity

1959 • 1,776 citations

Atmospheric diffusion shown on a distance-neighbour graph

1926 • 1,613 citations

Inertial-Range Spectrum of Hydromagnetic Turbulence

1965 • 1,562 citations

The degree of knottedness of tangled vortex lines

1969 • 1,414 citations

Universal Jump in the Superfluid Density of Two-Dimensional Superfluids

1977 • 1,266 citations

Large-distance and long-time properties of a randomly stirred fluid

1977 • 1,254 citations

The Characteristics of Electrical Discharges in Magnetic Fields

1950 • 1,167 citations

Waves and turbulence on a beta-plane

1975 • 1,143 citations

Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence

1969 • 1,033 citations

Diffusion by a Random Velocity Field

1970 • 989 citations

Strong MHD helical turbulence and the nonlinear dynamo effect

1976 • 951 citations

Geostrophic Turbulence

1971 • 929 citations

The predictability of a flow which possesses many scales of motion

1969 • 899 citations

Resistive transition in superconducting films

1979 • 879 citations

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma

1978 • 864 citations

ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION

1951 • 755 citations

Analytical theories of turbulence

1970 • 743 citations

Inertial-range transfer in two- and three-dimensional turbulence

1971 • 737 citations

On the Stability of Internal Baroclinic Jets in a Rotating Atmosphere

1962 • 712 citations

The predictability of a flow which possesses many scales of motion

1969 • 698 citations

Eddy Viscosity in Two and Three Dimensions

1976 • 677 citations

Study of the Superfluid Transition in Two-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

1978 • 619 citations

Diffusion Approximation for Two-Dimensional Turbulence

1968 • 553 citations

Possibility of Vortex-Antivortex Pair Dissociation in Two-Dimensional Superconductors

1979 • 552 citations

On the Changes in the Spectral Distribution of Kinetic Energy for Twodimensional, Nondivergent Flow

1953 • 530 citations

Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence

1972 • 506 citations

Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence

1975 • 502 citations

Small-scale structure of two-dimensional magnetohydrodynamic turbulence

1979 • 498 citations

Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations

1971 • 490 citations

Lagrangian-History Closure Approximation for Turbulence

1965 • 486 citations

Structure of Turbulent Shear Flows: A New Look

1976 • 473 citations

Atmospheric Predictability and Two-Dimensional Turbulence

1971 • 452 citations

Critical layer instability in baroclinic flows

1966 • 381 citations

Geostrophic Turbulence

1979 • 372 citations

Un theor�me sur l'existence du mouvement plan d'un fluide parfait, homog�ne, incompressible, pendant un temps infiniment long

1933 • 368 citations

The expulsion of magnetic flux by eddies

1966 • 367 citations

Climate Response and Fluctuation Dissipation

1975 • 363 citations

On Kolmogorov's inertial-range theories

1974 • 363 citations

Negative temperature states for the two-dimensional guiding-centre plasma

1973 • 356 citations

On the motion of solids in a liquid possessing vorticity

1916 • 351 citations

Statistical dynamics of two-dimensional flow

1975 • 347 citations

Energy spectra of certain randomly-stirred fluids

1979 • 332 citations

Planetary Circulations: 1. Barotropic Representation of Jovian and Terrestrial Turbulence

1978 • 319 citations

Velocity Correlation Functions in Two and Three Dimensions

1970 • 314 citations

Theory and numerical simulation on plasma diffusion across a magnetic field

1973 • 303 citations

Dissipation in Two-Dimensional Superfluids

1978 • 294 citations

Plasma Diffusion in Two Dimensions

1971 • 294 citations

Two-dimensional turbulence above topography

1976 • 291 citations

Predictability of Turbulent Flows

1972 • 289 citations

Fully developed turbulence and statistical mechanics

1978 • 287 citations

Experiments on the motion of solid bodies in rotating fluids

1923 • 281 citations

Statistical mechanics of “negative temperature” states

1974 • 275 citations

On some statistical properties of hydrodynamical and magneto-hydrodynamical fields

1952 • 262 citations

Convection of a passive scalar by a quasi-uniform random straining field

1974 • 262 citations

An almost-Markovian Galilean-invariant turbulence model

1971 • 260 citations

Motion of three vortices

1979 • 260 citations

The equilibrium statistical mechanics of simple quasi-geostrophic models

1976 • 252 citations

Topological Excitations in Two-Dimensional Superconductors

1979 • 243 citations

Numerical Simulation of Two-Dimensional Turbulence

1969 • 241 citations

Vortex Interactions

1979 • 236 citations

Approach of axisymmetric turbulence to isotropy

1974 • 235 citations

Growth of Turbulent Magnetic Fields

1967 • 225 citations

Decay of two-dimensional homogeneous turbulence

1974 • 219 citations

Statistical mechanics of two-dimensional vortices in a bounded container

1976 • 217 citations

Turbulent diffusion from a quasi-kinematical point of view

1977 • 209 citations

Baroclinic instability and the short wavelength cut‐off in terms of potential vorticity

1966 • 207 citations

MINIMAL PROPERTIES OF PLANETARY EDDIES.

1975 • 207 citations

Uniform Potential Vorticity Flow: Part I. Theory of Wave Interactions and Two-Dimensional Turbulence

1978 • 206 citations

Critical Surface Density of the Superfluid Component in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

1978 • 190 citations

Topographic generation of residual circulation by oscillatory (tidal) currents

1978 • 188 citations

Study of melting in two dimensions

1978 • 186 citations

On two-dimensional magnetohydrodynamic turbulence

2001 • 185 citations

On the theory of solitary Rossby waves

1977 • 182 citations

On the Spectrum and Decay of Random Two‐Dimensional Vorticity Distributions at Large Reynolds Number

1971 • 181 citations

Two-layer quasi-geostrophic turbulence in a simple special case

1978 • 180 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-dimensional turbulence

1978 • 173 citations

Evidence for an Orientationally Ordered Two-Dimensional Fluid Phase from Molecular-Dynamics Calculations

1979 • 172 citations

High-beta turbulence in two-dimensional magnetohydrodynamics

1976 • 169 citations

Diffusion of passive-scalar and magnetic fields by helical turbulence

1976 • 165 citations

Long-Time Tails and the Large-Eddy Behavior of a Randomly Stirred Fluid

1976 • 162 citations

Analytical theory of turbulent diffusion

1961 • 161 citations

Eulerian and Lagrangian renormalization in turbulence theory

1977 • 152 citations

Statistical mechanics of two-dimensional vortices

1977 • 152 citations

Atmospheric Diffusion and Air Pollution

1958 • 152 citations

Evolution of high Reynolds number two-dimensional turbulence

1975 • 151 citations

Relative Dispersion of Constant–Level Balloons in the 200–mb General Circulation

1974 • 145 citations

A numerical study of 2-D turbulence

1977 • 143 citations

NOTE ON EDDY DIFFUSION IN THE SEA

1948 • 139 citations

Objective Methods for Weather Prediction

1978 • 132 citations

Superfluidity and Superconductivity

1957 • 131 citations

Dispersion of Particle Pairs in Homogeneous Turbulence

1966 • 128 citations

Stochastic closure for nonlinear Rossby waves

1977 • 127 citations

Dissipative, forced turbulence in two-dimensional magnetohydrodynamics

1977 • 126 citations

An Introduction to the Theory of Plasma Turbulence

1972 • 126 citations

Eddy diffusivity, eddy noise and subgrid-scale modelling

1977 • 125 citations

Convergents to turbulence functions

1970 • 120 citations

Energy Spectra Predicted by Semi-Geostrophic Theories of Frontogenesis

1978 • 119 citations

Numerical simulation of developing and decaying two-dimensional turbulence

1971 • 117 citations

Classical Fluctuation-Relaxation Theorem

1959 • 117 citations

Turbulent Hydrodynamic Line Stretching: Consequences of Isotropy

1969 • 115 citations

Two-dimensional turbulence in inviscid fluids or guiding center plasmas

1975 • 109 citations

Energy Transfer in Rotating Fluids by Reflection of Inertial Waves

1963 • 104 citations

THE SPECTRAL FORM OF THE VORTICITY EQUATION

1960 • 102 citations

Possible inverse cascade behavior for drift-wave turbulence

1979 • 96 citations

Stochastic theory of the nucleation of quantized vortices in superfluid helium

1971 • 96 citations

On the theory of the phase transition in the two-dimensional planar spin model

1978 • 90 citations

Inviscid dynamics of two-dimensional turbulence

1973 • 90 citations

Theory of the unmagnetized plasma

1971 • 84 citations

Negative temperature states of two-dimensional plasmas and vortex fluids

1974 • 77 citations

Relative Dispersion in the Enstrophy-Cascading Inertial Range of Homogeneous Two-Dimensional Turbulence

1972 • 76 citations

Spectrum of Low-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>Plasma Turbulence

1965 • 76 citations

Cascade and collapse of Langmuir waves in two dimensions

1978 • 76 citations

Magnetic dynamo action in two-dimensional turbulent magneto-hydrodynamics

1977 • 75 citations

An approximate calculation of the

1963 • 75 citations

Dissipation near the Critical Point of a Two-Dimensional Superfluid

1978 • 72 citations

On the Statistical Theory of Two-Dimensional Topographic Turbulence

1977 • 70 citations

Equation of State for a Two-Dimensional Electrolyte

1963 • 69 citations

Test-field model for inhomogeneous turbulence

1972 • 68 citations

On the Spectral Distribution of Large-Scale Atmospheric Kinetic Energy

1970 • 67 citations

Dynamics of vortex pairs in superfluid films

1979 • 66 citations

Turbulent self-diffusion

1976 • 65 citations

Numerical simulation studies of two-Dimensional turbulence: I. Models of statistically steady turbulence

1972 • 65 citations

Exact Magnus-Force Formula for Three-Dimensional Fluid-Core Vortices

1970 • 63 citations

On energy and enstrophy exchanges in two-dimensional non-divergent flow

1975 • 62 citations

A Spectral Theory of Nonlinear Barotropic Motion above Irregular Topography

1978 • 60 citations

Reconnexion of lines of force in rotating spheres and cylinders

1966 • 60 citations

Theory of Strongly Turbulent Two-Dimensional Convection of Low-Pressure Plasma

1977 • 58 citations

Ergodic properties of inviscid truncated models of two-dimensional incompressible flows

1975 • 57 citations

Theory of strongly turbulent two-dimensional convection of low-pressure plasma

1979 • 57 citations

Some current projects for global meteorological observation and experiment

1967 • 56 citations

On nonlinear cascades of atmospheric energy and enstrophy in a two-dimensional spectral index

1978 • 55 citations

Evidence for two-dimensional inertial turbulence in a cosmic-scale low-beta plasma

1978 • 53 citations

Steady-State Distributions of Interacting Discrete Vortices

1975 • 52 citations

A numerical comparison of velocity-based and strain-based Lagrangian-history turbulence approximations

1979 • 51 citations

Bounds on energy flux for finite energy turbulence

1975 • 49 citations

Randomness of low-order models of two-dimensional inviscid dynamics

1978 • 48 citations

Precipitous Onset for Superfluidity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:…

1979 • 48 citations

Ergodic Boundary in Numerical Simulations of Two-Dimensional Turbulence

1971 • 47 citations

Exact equation of state for a 2-dimensional plasma

1967 • 47 citations

The effective long-time diffusivity for a passive scalar in a Gaussian model fluid flow

1978 • 46 citations

Statistics of the System of Line Vortices

1975 • 45 citations

The operator formalism of classical statistical dynamics

1975 • 44 citations

Three-Dimensional Plasma Diffusion in a Very Strong Magnetic Field

1972 • 43 citations

Dispersion by random velocity fields

1975 • 42 citations

Semileptonic decays of charmed mesons produced in electron-positron annihilation

1977 • 42 citations

Infinite-dimensional turbulence

1978 • 42 citations

Lagrangian velocity covariance in helical turbulence

1977 • 42 citations

Non-Gaussian probability distributions for a vortex fluid

1977 • 42 citations

Thermodynamics of two-dimensional plasmas or discrete line vortex fluids

1976 • 40 citations

The langevin model for turbulent diffusion

1971 • 40 citations

Negative temperatures in two dimensional vortex motion

1972 • 37 citations

Crossover Dimensions for Fully Developed Turbulence

1976 • 36 citations

AN HYPOTHESIS CONCERNING TURBULENT DIFFUSION

1960 • 36 citations

Theory of Two-Dimensional Anisotropic Turbulence

1975 • 36 citations

Theory of two-dimensional turbulence

1974 • 36 citations

Subgrid-Scale Modeling of Enstrophy Transfer in Two-Dimensional Turbulence

1978 • 35 citations

Chapter 1 Intrinsic Critical Velocities in Superfluid Helium

1970 • 35 citations

Numerical calculation of nonunique solutions of a two-dimensional sinh-Poisson equation

1974 • 32 citations

The partition function of a two-dimensional plasma

1968 • 32 citations

Numerical simulation studies of two-Dimensional turbulence: II. Stability and predictability studies

1972 • 32 citations

Instability in Fully Developed Turbulence

1970 • 31 citations

Has Two-Dimensional Superfluidity Been Seen in Real<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films?

1978 • 31 citations

Partition function for a two-dimensional plasma in the random-phase approximation

1974 • 31 citations

Consistency of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>-Effect Turbulent Dynamo

1979 • 29 citations

Constants of motion in models of two-dimensional turbulence

1976 • 27 citations

Growth of Uncertainty in Decaying Isotropic Turbulence

1973 • 25 citations

Statistical formulation of one-dimensional electron fluid turbulence

1978 • 25 citations

Stationary States of Two-Dimensional Turbulence

1972 • 25 citations

Conductivity of a Two-Dimensional Guiding Center Plasma

1972 • 24 citations

Further application of the Martin, Siggia, Rose formalism

1976 • 22 citations

Quasiequilibrium statistical mechanics of two-dimensional superfluids and the two-dimensional Coulomb gas

1978 • 21 citations

Some exact statistics of two-dimensional viscous flow with random forcing

1972 • 18 citations

The partition function of a two-dimensional plasma

1972 • 15 citations

New magnetohydrodynamic equilibria by secondary bifurcation

1978 • 15 citations

Simulation of the “negative temperature” instability for line vortices

1972 • 15 citations

Superflow in Restricted Geometries

1979 • 15 citations

Decay of Passive Scalar Fluctuations in Isotropic Homogeneous Turbulence

1968 • 14 citations

Two-dimensional turbulence on the surface of a sphere

1978 • 14 citations

Two-dimensional magnetohydrodynamic turbulence: cylindrical, non-dissipative model

1979 • 10 citations

Baroclinic waves and frontogenesis Part I: Introduction and Eady waves

1976 • 9 citations

Light cone expansion and corrections to vector meson dominance in compton scattering

1972 • 9 citations

Uniform Potential Vorticity Flow: Part II. A Model of Wave Interacions

1978 • 8 citations

On the existence of a two-dimensional classical plasma

1972 • 7 citations

Nonlinear theory of type II irregularities in the equatorial electrojet

1980 • 7 citations

Numerical simulation of quasi-geostrophic turbulence

1973 • 7 citations

Analytical approximations in the theory of turbulent diffusion

1978 • 7 citations

Über den Korrelationstensor zweiter Stufe für ein inhomogenes turbulentes Geschwindigkeitsfeld

1974 • 6 citations

Turbulent motion

1952 • 6 citations

Comments on “Relevant Dispersion in the Enstrophy-Cascading Inertial Range of Homogeneous Two-Dimensional Turbulence”

1973 • 6 citations

Aspects of Collisional Diffusion Transverse to a Stable Magnetic Plasma

1968 • 6 citations

ON BOURRET'S HYPOTHESIS CONCERNING TURBULENT DIFFUSION

1961 • 6 citations

Three-point method in the theory of homogeneous turbulence

1977 • 5 citations

The two-dimensionality of slow motion in a rotating fluid

1975 • 3 citations

The predictability of a dissipative flow

1971 • 1 citations

Precipitous Onset for Superfluidity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:…

1979 • 1 citations