Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process

Benjamin Jourdain; Tony Lelievre; Raphaël Roux

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arXiv · 0903.4518

Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process

Benjamin Jourdain·Tony Lelievre·Raphaël Roux

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Abstract

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.

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Benjamin Jourdain, Tony Lelievre, Raphaël Roux. 2010-01-16. Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process. https://arxiv.org/abs/0903.4518

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