activity
19952023
most citedStrong disorder RG approach of random systems

371 citations · 3.6k across the 151 of their papers we have counts for

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Showing 2010Show all

7 papers · 1 filter

cond-mat.stat-mech2010★ 45 cited

Non-equilibrium steady states : maximization of the Shannon entropy associated to the distribution of dynamical trajectories in the presence of constraints

Cecile Monthus

Filyokov and Karpov [Inzhenerno-Fizicheskii Zhurnal 13, 624 (1967)] have proposed a theory of non-equilibrium steady states in direct analogy with the theory of equilibrium states…

cond-mat.dis-nn2010★ 15 cited

Random elastic networks : strong disorder renormalization approach

Cecile Monthus, Thomas Garel

For arbitrary networks of random masses connected by random springs, we define a general strong disorder real-space renormalization (RG) approach that generalizes the procedures in…

cond-mat.dis-nn2010★ 18 cited

Anderson localization transition with long-ranged hoppings : analysis of the strong multifractality regime in terms of weighted Levy sums

Cecile Monthus, Thomas Garel

For Anderson tight-binding models in dimension with random on-site energies and critical long-ranged hoppings decaying typically as , we sho…

cond-mat.dis-nn2010★ 7 cited

Random cascade models of multifractality : real-space renormalization and travelling-waves

Cecile Monthus, Thomas Garel

Random multifractals occur in particular at critical points of disordered systems. For Anderson localization transitions, Mirlin and Evers [PRB 62,7920 (2000)] have proposed the fo…

cond-mat.dis-nn2010★ 50 cited

Anderson localization of phonons in dimension : finite-size properties of the Inverse Participation Ratios of eigenstates

Cecile Monthus, Thomas Garel

We study by exact diagonalization the localization properties of phonons in mass-disordered harmonic crystals of dimension . We focus on the behavior of the typical Invers…

cond-mat.dis-nn2010★ 2 cited

Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force

Cecile Monthus, Thomas Garel

We consider the random walk of a particle in a two-dimensional self-affine random potential of Hurst exponent in the presence of an external force . We present numerical…