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Interfaces pinned by quenched disorder are often used to model jerky self-organized critical motion.
On the energy distribution in the spectrum of a turbulent flow
A.N. Kolmogorov, · 1941
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Interface fluctuations in disordered systems: 5 − ϵ 5-\epsilon expansion
D.S. Fisher, · 1964
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Random fields, random anisotropies, nonlinear sigma models and dimensional reduction
D.S. Fisher, · 1985
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Self-organized criticality - an explanation of 1/f noise
P. Bak, C. Tang and K. Wiesenfeld, · 1987
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Abelian sandpile model on the Bethe lattice
D. Dhar and S.N. Majumdar, · 1990
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B. Alessandro, C. Beatrice, G. Bertotti and A. Montorsi, J. Applied Physics, 68
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Dynamics of interface depinning in a disordered medium
T. Nattermann, S. Stepanow, L.H. Tang and H. Leschhorn, · 1992
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Critical behavior of sliding charge-density waves in 4-epsilon dimensions
O. Narayan and D.S. Fisher, · 1992
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Equivalence between the abelian sandpile model and the Q → 0 Q\to 0 limit of the Potts-model
S.N. Majumdar and D. Dhar, · 1992
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Asymptotic uniqueness of the sliding state for charge-density waves
AA. Middleton, · 1992
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Sandpiles and diffusion-limited reactions
Joachim Krug, · 1993
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Critical-behavior of charge-density waves below threshold - numerical and scaling analysis
AA. Middleton and DS. Fisher, · 1993
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Threshold critical dynamics of driven interfaces in random media
O. Narayan and D.S. Fisher, · 1993
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Large- N N expansion of 4 − ε 4-\varepsilon -dimensional oriented manifolds in random media
L. Balents and D.S. Fisher, · 1993
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Avalanches and the renormalization-group for pinned charge-density waves
O. Narayan and AA. Middleton, · 1994
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Interface depinning, self-organized criticality, and the barkhausen effect
J. S. Urbach, R. C. Madison and J. T. Markert, · 1995
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S. Field, J. Witt, F. Nori and X. Ling, Phys. Rev. Lett. 74
1995
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Size distribution of different types of sites in abelian sandpile avalanches
S. Banerjee, S. B. Santra and I. Bose, · 1995
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Numerical results for the ground-state interface in a random medium
A.A. Middleton, · 1995
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Hysteresis, avalanches, and disorder-induced critical scaling: A renormalization-group approach
K. Dahmen and JP. Sethna, · 1996
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Statistics of earthquakes in simple models of heterogeneous faults
D.S. Fisher, K. Dahmen, S. Ramanathan and Y. Ben-Zion, · 1997
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Distribution of sizes of erased loops for loop-erased random walks
D. Dhar and A. Dhar, · 1997
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Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension
S. Lübeck and K. D. Usadel, · 1997
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Static and dynamic properties of inhomogeneous elastic media on disordered substrate
D. Cule and T. Hwa, · 1998
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Collective transport in random media: from superconductors to earthquakes
D.S. Fisher, · 1998
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Introduction to the sandpile model
E. V. Ivashkevich and V. B. Priezzhev, · 1998
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Dynamics of a ferromagnetic domain wall: Avalanches, depinning transition, and the Barkhausen effect
S. Zapperi, P. Cizeau, G. Durin and H.E. Stanley, · 1998
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Creep via dynamical functional renormalization group
P. Chauve, T. Giamarchi and P. Le Doussal, · 1998
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( 4 + N ) (4+N) -dimensional elastic manifolds in random media: a renormalization-group analysis
H. Bucheli, O.S. Wagner, V.B. Geshkenbein, A.I. Larkin and G. Blatter, · 1998
Cited alongside, same era.
Studying self-organized criticality with exactly solved models
Deepak Dhar, · 1999
Cited alongside, same era.
The abelian sandpile and related models
Deepak Dhar, · 1999
Cited alongside, same era.
The upper critical dimension of the abelian sandpile model
V.B. Priezzhev, · 1999
Cited alongside, same era.
Interface fluctuations in disordered systems: Universality and non-gaussian statistics
S. Scheidl and Y. Dincer, · 2000
Cited alongside, same era.
Creep and depinning in disordered media
P. Chauve, T. Giamarchi and P. Le Doussal, · 2000
Cited alongside, same era.
Broad relaxation spectrum and the field theory of glassy dynamics for pinned elastic systems
L. Balents and P. Le Doussal, · 2004
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Nonperturbative functional renormalization group for random-field models: The way out of dimensional reduction
G. Tarjus and M. Tissier, · 2004
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Mean-field theory and sandpile models
M. Stapleton and K. Christensen, · 2005
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2-loop functional renormalization for elastic manifolds pinned by disorder in N N dimensions
P. Le Doussal and K.J. Wiese, · 2005
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Thermal fluctuations in pinned elastic systems: field theory of rare events and droplets
L. Balents and P. Le Doussal, · 2005
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Supersymmetry breaking in disordered systems and relation to functional renormalization and replica-symmetry breaking
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Quasi-long-range order in the random anisotropy Heisenberg model: Functional renormalization group in 4- epsilon dimensions
D.E. Feldman, · 2000
Cited alongside, same era.
Vortex-glass phases in type-II superconductors
T. Nattermann and S. Scheidl, · 2000
Cited alongside, same era.
Distribution of sizes of erased loops of loop-erased random walks in two and three dimensions
H. Agrawal and D. Dhar, · 2001
Cited alongside, same era.
Renormalization of pinned elastic systems: How does it work beyond one loop?
P. Chauve, P. Le Doussal and K.J. Wiese, · 2001
Cited alongside, same era.
Exact multilocal renormalization group and applications to disordered problems
P. Chauve and P. Le Doussal, · 2001
Cited alongside, same era.
Quasi-long range order in glass states of impure liquid crystals, magnets, and superconductors
D.E. Feldman, · 2001
Cited alongside, same era.
K.J. Wiese, · 2005
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Abelian sandpile model: A conformal field theory point of view
S. Moghimi-Araghi, M.A. Rajabpour and S. Rouhani, · 2005
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Logarithmic scaling for height variables in the abelian sandpile model
G. Piroux and P. Ruelle, · 2005
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Conformal field theory correlations in the abelian sandpile model
M. Jeng, · 2005
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Random field ising model in and out of equilibrium
Y. Liu and K.A. Dahmen, · 2006
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Statics and dynamics of elastic manifolds in media with long-range correlated disorder
A. Fedorenko, P. Le Doussal and K.J. Wiese, · 2006
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Can non-linear elasticity explain contact-line roughness at depinning?
P. Le Doussal, K.J. Wiese, E. Raphael and Ramin Golestanian, · 2006
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Universal distribution of threshold forces at the depinning transition
A. Fedorenko, P. Le Doussal and K.J. Wiese, · 2006
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Random field spin models beyond one loop: a mechanism for decreasing the lower critical dimension
P. Le Doussal and K.J. Wiese, · 2006
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A unified picture of ferromagnetism, quasi-long range order and criticality in random field models
G. Tarjus and M. Tissier, · 2006
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Two-loop functional renormalization group of the random field and random anisotropy O ( N ) O(N) models
G. Tarjus and M. Tissier, · 2006
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Finite temperature Functional RG, droplets and decaying Burgers turbulence
P. Le Doussal, · 2006
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Stability of random-field and random-anisotropy fixed points at large N N
P. Le Doussal and K.J. Wiese, · 2007
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How to measure Functional RG fixed-point functions for dynamics and at depinning
P. Le Doussal and K.J. Wiese, · 2007
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Measuring functional renormalization group fixed-point functions for pinned manifolds
A.A. Middleton, P. Le Doussal and K.J. Wiese, · 2007
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Numerical calculation of the functional renormalization group fixed-point functions at the depinning transition
A. Rosso, P. Le Doussal and K.J. Wiese, · 2007
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Functional renormalization for disordered systems: Basic recipes and gourmet dishes
K.J. Wiese and P. Le Doussal, · 2007
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Statistics of static avalanches in a random pinning landscape
P. Le Doussal, A.A. Middleton and K.J. Wiese, · 2008
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Pair correlations in sandpile model: a check of logarithmic conformal field theory
V.S. Poghosyan, S.Y. Grigorev, V.B. Priezzhev and P. Ruelle, · 2008
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Field theory conjecture for loop-erased random walks
A.A. Fedorenko, P. Le Doussal and K.J. Wiese, · 2008
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Driven particle in a random landscape: disorder correlator, avalanche distribution and extreme value statistics of records
P. Le Doussal and K.J. Wiese, · 2008
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Depinning in a two-layer model of plastic flow
P. Le Doussal, M.C. Marchetti and K.J. Wiese, · 2008
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