34 citations · 41 across the 7 of their papers we have counts for
7 papers
Velocity Jumps for Molecular Dynamics
Nicolaï Gouraud, Louis Lagardère, Olivier Adjoua +3
We introduce the Velocity Jumps approach, denoted as JUMP, a new class of Molecular dynamics integrators, replacing the Langevin dynamics by a hybrid model combining a classical La…
Position-dependent memory kernel in generalized Langevin equations: theory and numerical estimation
Hadrien Vroylandt, Pierre Monmarché
Generalized Langevin equations with non-linear forces and position-dependent linear friction memory kernels, such as commonly used to describe the effective dynamics of coarse-grai…
Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
In this article, we adapt the work of Jabin and Wang (2018) to show the first result of uniform in time propagation of chaos for a class of singular interaction kernels. In particu…
Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes
Arnaud Guillin, Pierre Monmarché
Combining the results of [14] and [10], the trend to equilibrium in large time is studied for a large particle system associated to a Vlasov-Fokker-Planck equation. Under some cond…
Velocity jump processes : an alternative to multi-timestep methods for faster and accurate molecular dynamics simulations
Pierre Monmarché, Jérémy Weisman, Louis Lagardère +1
We propose a new route to accelerate molecular dynamics through the use of velocity jump processes allowing for an adaptive time-step specific to each atom-atom pair (2-body) inter…
A note on Fisher Information hypocoercive decay for the linear Boltzmann equation
Pierre Monmarché
This note deals with the linear Boltzmann equation in the non-compact setting with a confining potential which is close to quadratic. We prove that in this case, starting from a sm…
Hypocoercivity in metastable settings and kinetic simulated annealing
Pierre Monmarché
Combining classical arguments for the analysis of the simulated annealing algorithm with the more recent hypocoercive method of distorted entropy, we prove the convergence for larg…