Free-energy calculations - Theoretical Biophysics Group
Free-energy calculations - Theoretical Biophysics Group
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>