357 citations · 1.7k across the 74 of their papers we have counts for
12 papers · 1 filter
The Adaptive Biasing Force algorithm with non-conservative forces and related topics
Tony Lelièvre, Lise Maurin, Pierre Monmarché
We propose a study of the Adaptive Biasing Force method's robustness under generic (possibly non-conservative) forces. We first ensure the flat histogram property is satisfied in a…
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
We consider the first exit point distribution from a bounded domain of the stochastic process solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We consider the first exit point distribution from a bounded domain of the stochastic process solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…
Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
In molecular dynamics, several algorithms have been designed over the past few years to accelerate the exit event from a metastable region of the configuration space. Some of them…
Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis
Thomas Hudson, Frédéric Legoll, Tony Lelièvre
Motivated by rate-independent stress-strain hysteresis observed in filled rubber, this article considers a scalar viscoelastic model in which the constitutive law is random and var…
Sharp asymptotics of the first exit point density
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We consider the exit event from a metastable state for the overdamped Langevin dynamics . Using tools from semiclassical analysis, we prov…