Avalanches, hydrodynamics, and discharge events in models of sandpiles

The Fractal Geometry of Nature.

1984 • 15,007 citations

Fractional Brownian Motions, Fractional Noises and Applications

1968 • 7,349 citations

Self-organized criticality: An explanation of the 1/fnoise

1987 • 7,285 citations

Theory of dynamic critical phenomena

1977 • 6,393 citations

Dynamic Scaling of Growing Interfaces

1986 • 5,177 citations

Self-organized criticality

1988 • 4,654 citations

Low-frequency fluctuations in solids:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>noise

1981 • 1,658 citations

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

1977 • 1,254 citations

Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium

1976 • 984 citations

Some long‐run properties of geophysical records

1969 • 972 citations

Self-organized critical state of sandpile automaton models

1990 • 915 citations

Mechanical model of an earthquake fault

1989 • 658 citations

Burgers equation with correlated noise: Renormalization-group analysis and applications to directed polymers and interface growth

1989 • 654 citations

Growth with Surface Diffusion

1990 • 651 citations

Properties of earthquakes generated by fault dynamics

1989 • 650 citations

Kinetic growth with surface relaxation: Continuum versus atomistic models

1991 • 621 citations

Scaling and universality in avalanches

1989 • 612 citations

Relaxation at the Angle of Repose

1989 • 553 citations

Flicker (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>) noise: Equilibrium temperature and resistance fluctuations

1976 • 470 citations

Self-Organized Criticality and Earthquakes

1989 • 447 citations

Critical Exponents and Scaling Relations for Self-Organized Critical Phenomena

1988 • 400 citations

Experimental study of critical-mass fluctuations in an evolving sandpile

1990 • 361 citations

Self-organized criticality in the 'Game of Life"

1989 • 348 citations

Exactly solved model of self-organized critical phenomena

1989 • 343 citations

Dissipative transport in open systems: An investigation of self-organized criticality

1989 • 284 citations

On Irregular Wavy Flow of a Liquid Film Down a Vertical Plane

1980 • 273 citations

Self-organized criticality in a crack-propagation model of earthquakes

1991 • 267 citations

Flow in powders: From discrete avalanches to continuous regime

1990 • 261 citations

Conservation laws, anisotropy, and ‘‘self-organized criticality’’ in noisy nonequilibrium systems

1990 • 222 citations

Self-organized criticality in a stick-slip process

1991 • 209 citations

Long-range correlations for conservative dynamics

1990 • 197 citations

Dynamics of driven interfaces with a conservation law

1989 • 190 citations

1/fnoise, distribution of lifetimes, and a pile of sand

1989 • 189 citations

Large-scale simulation of avalanche cluster distribution in sand pile model

1990 • 163 citations

Some more sandpiles

1990 • 156 citations

On self-turbulization of a laminar flame

1979 • 151 citations

Spontaneous Formation of Space-Time Structures and Criticality

1991 • 131 citations

Friction in Granular Flows

1990 • 128 citations

Cascades and self-organized criticality

1990 • 111 citations

The noise spectrum in the model of self-organised criticality

1990 • 110 citations

Self-orgainzed criticality and singular diffusion

1990 • 109 citations

Avalanches and self-organization in cellular magnetic-domain patterns

1990 • 105 citations

Field theory of long time behaviour in driven diffusive systems

1986 • 100 citations

Lattice gas as a model of 1/fnoise

1990 • 95 citations

A stochastic model for the large scale dynamics of some fluctuating interfaces

1989 • 94 citations

Influence of instabilities on plasma flow around a comet

1989 • 93 citations

Random fluctuations and pattern growth — experiments and models

1989 • 90 citations

1/f noise with a low frequency white noise limit

1974 • 84 citations

Dynamical and spatial aspects of sandpile cellular automata

1991 • 82 citations

Time intervals between characteristic earthquakes and correlations with smaller events: An analysis based on a mechanical model of a fault

1991 • 80 citations

Self-organized criticality in sandpiles: Nature of the critical phenomenon

1990 • 53 citations

Long-Range Correlations in Stationary Nonequilibrium Systems with Conservative Anisotropic Dynamics

1991 • 52 citations

Generic scale invariance and roughening in noisy model sandpiles and other driven interfaces

1991 • 51 citations

Resistance Fluctuations Due to Hydrogen Diffusion in Niobium Thin Films

1985 • 50 citations

Self-organized criticality: Goldstone modes and their interactions

1990 • 46 citations

Magnetic domain patterns as self-organizing critical systems

1990 • 42 citations

Dirt roughens real sandpiles

1991 • 33 citations

1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">f</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">α</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>noise in dissipative transport

1992 • 30 citations

1/fnoise for driven interfaces

1991 • 28 citations

Measurements of Flux-Flow and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise in Superconductors

1984 • 27 citations

Self-Organized Criticality in a Stick-Slip Process

1991 • 24 citations

Self-avoiding crumpled manifolds: Perturbative analysis and renormalizability

1990 • 23 citations

Variance Fluctuations in Flicker Noise and Current Noise

1969 • 19 citations

Theory of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>noise in metal films and whiskers

1977 • 18 citations

Temporal characteristics in nonequilibrium surface-growth models

1991 • 12 citations