%0 Journal Article
%T Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process
%A Benjamin Jourdain
%A Tony Lelievre
%A Rapha£żl Roux
%J Mathematics
%D 2009
%I arXiv
%X We prove existence and uniqueness for some nonlinear stochastic differential equation used in molecular dynamics, whose nonlinearity comes from a conditional expectation term. We also introduce an interacting particle system in order to approximate this conditional expectation, providing a discretization scheme for this equation.
%U http://arxiv.org/abs/0903.4518v2