title: Blue moon sampling, vectorial reaction coordinates, and unbiased constrained dynamics.
abstract: We give a new formula expressing the components of the mean force in terms of a conditional expectation which can be computed by Blue Moon sampling. This generalizes to the vectorial case a formula first derived by Ruiz-Montero et al. for a scalar reaction coordinate. We also discuss how to compute this conditional average by means of constrained stochastic dynamics which, unlike the usual constrained molecular dynamics, introduces no bias. Finally, we give a new perspective on bias removal by using constrained molecular dynamics.
authors.affiliation: INFM and Dipartimento di Fisica, Universitá di Roma La Sapienza, P. le A. Moro, 2, 00185 Roma, Italy. giovanni.ciccotti@roma1.infn.it
authors.forename: Giovanni
authors.initials: G
authors.lastname: Ciccotti
authors.forename: Raymond
authors.initials: R
authors.lastname: Kapral
authors.forename: Eric
authors.initials: E
authors.lastname: Vanden-Eijnden