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Free-energy calculations - Theoretical Biophysics Group

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Reaction coordinate–based free-<strong>energy</strong> <strong>calculations</strong> A vector field approach<br />

Procedure to move and transform vi(ξ) into vi(ξ+δξ).<br />

It converts a grid of points in the old slab into another<br />

grid of points in the new slab. In continuous space,<br />

this is tantamount to:<br />

For a small projection:<br />

ξ[P(x; δξ)] = ξ(x) + δξ<br />

P(x; δξ) = x + δξ V(x)<br />

V = (v T 1 , . . . )T is an arbitrarily chosen vector field of<br />

R 3N → R 3N , which verifies:<br />

vi · ∇xξj = δij<br />

∀i, j<br />

Chris Chipot <strong>Free</strong>-<strong>energy</strong> <strong>calculations</strong>

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