5 papers
Scaling regimes of the Kuramoto-Sivashinsky equation from the functional renormalization group
Liubov Gosteva, Nicolás Wschebor, Léonie Canet
We revisit the renormalization group (RG) approach to the one-dimensional stochastic Kuramoto-Sivashinsky (KS) equation and show that previous approaches based on perturbative Wils…
Inviscid scaling in the Kuramoto-Sivashinsky equation from functional renormalization group and direct numerical simulations
Liubov Gosteva, Dipankar Roy, Nicolás Wschebor +1
We show that the one-dimensional Kuramoto-Sivashinsky (KS) equation features a scaling regime characterized by the dynamical exponent at intermediate scales between the large…
Emergent dynamical scaling in the inviscid limit of 3D stochastic Navier-Stokes equation with thermal noise
Liubov Gosteva, Marc Brachet, Léonie Canet +1
In this work, we investigate the Navier-Stokes equation in the presence of thermal noise, both at finite viscosity (revisiting the seminal work by Forster-Nelson-Stephen) and in th…
The non-perturbative sides of the Kardar-Parisi-Zhang equation
Léonie Canet
The Kardar-Parisi-Zhang (KPZ) equation is a celebrated non-linear stochastic dynamical equation yielding non-equilibrium universal scaling. It exhibits notorious non-perturbative a…
Unveiling the different scaling regimes of the one-dimensional Kardar-Parisi-Zhang--Burgers equation using the functional renormalisation group
Liubov Gosteva, Nicolás Wschebor, Léonie Canet
The Kardar-Parisi-Zhang (KPZ) equation is a celebrated non-linear stochastic equation featuring non-equilibrium scaling. Although in one dimension, its statistical properties are v…