43 citations · 76 across the 5 of their papers we have counts for
5 papers
The stochastic porous medium equation in one dimension
Maximilien Bernard, Andrei A. Fedorenko, Pierre Le Doussal +1
We study the porous medium equation (PME) in one space dimension in presence of additive non-conservative white noise, and interpreted as a stochastic growth equation for the heigh…
Anomalous scaling of heterogeneous elastic lines: a new picture from sample to sample fluctuations
Maximilien Bernard, Pierre Le Doussal, Alberto Rosso +1
We study a discrete model of an heterogeneous elastic line with internal disorder, submitted to thermal fluctuations. The monomers are connected through random springs with indepen…
From microstructural features to effective toughness in disordered brittle solids
Vincent Démery, Laurent Ponson, Alberto Rosso
The relevant parameters at the microstructure scale that govern the macroscopic toughness of disordered brittle materials are investigated theoretically. We focus on planar crack p…
Freezing Transition in Decaying Burgers Turbulence and Random Matrix Dualities
Yan V Fyodorov, Pierre Le Doussal, Alberto Rosso
We reveal a phase transition with decreasing viscosity at ν=ν_c>0 in one-dimensional decaying Burgers turbulence with a power-law correlated random profile of Gaussian-distribu…
Dynamics of disordered elastic systems
T. Giamarchi, A. B. Kolton, A. Rosso
We review in these notes some dynamical properties of interfaces in random media submitted to an external force. We focuss in particular to the response to a very small force (so c…