39 citations · 242 across the 27 of their papers we have counts for
8 papers · 1 filter
Domain convexification: a simple model for invasion processes
David Martin-Calle, Olivier Pierre-Louis
We propose an invasion model where domains grow up to their convex hulls and merge when they overlap. This model can be seen as a continuum and isotropic counterpart of bootstrap p…
Accurate generation of stochastic dynamics based on multi-model Generative Adversarial Networks
Daniele Lanzoni, Olivier Pierre-Louis, Francesco Montalenti
Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanic…
Temperature transitions and degeneracy in the control of small clusters with a macroscopic field
Francesco Boccardo, Olivier Pierre-Louis
We present a numerical investigation of the control of few-particle fluctuating clusters with a macroscopic field. Our goal is to reach a given target cluster shape is minimum time…
Equilibrium return times of small fluctuating clusters and vacancies
Francesco Boccardo, Younes Benamara, Olivier Pierre-Louis
The expected return time of a fluctuating two-dimensional cluster or vacancy to a given configuration is studied in thermodynamic equilibrium. We define a family of bond-breaking m…
Controlling the shape of small clusters with and without macroscopic fields
Francesco Boccardo, Olivier Pierre-Louis
Despite major advances in the understanding of the formation and dynamics of nano-clusters in the past decades, theoretical bases for the control of their shape are still lacking.…
Controlling anisotropy in 2D microscopic models of growth
Luca Gagliardi, Olivier Pierre-Louis
The quantitative knowledge of interface anisotropy in lattice models is a major issue, both for the parametrization of continuum interface models, and for the analysis of experimen…
Kink dynamics with oscillating forces
Thomas Le Goff, Olivier Pierre-Louis, Paolo Politi
It is well known that the dynamics of a one-dimensional dissipative system driven by the Ginzburg-Landau free energy may be described in terms of interacting kinks: two neighbourin…
Local electromigration model for crystal surfaces
O. Pierre-Louis
We analyze the dynamics of crystal surfaces in the presence of electromigration. From a phase field model with a migration force which depends on the local geometry, we derive a st…