4 papers
A spectral approach to the narrow escape problem in two-dimensional domains
Louis Carillo, Tony Lelièvre, Thomas Normand +1
We study the law of the exit time and exit point of a Brownian motion in a two-dimensional domain with reflecting boundary conditions, except on small disjoint exit windows through…
The narrow escape problem in arbitrary dimension
Louis Carillo, Tony Lelièvre, Thomas Normand +2
The narrow escape problem is a prototypical example for studying entropic metastability, motivated by the analysis of biological and chemical systems. The problem concerns the dete…
Mathematical analysis and numerical methods for the computation of transport coefficients in molecular dynamics
Noe Blassel, Louis Carillo, Shiva Darshan +7
We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium met…
Hard-disk computer simulations -- a historic perspective
Botao Li, Yoshihiko Nishikawa, Philipp Hoellmer +3
We discuss historic pressure computations for the hard-disk model performed since 1953, and compare them to results that we obtain with a powerful event-chain Monte Carlo and a mas…