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Free-energy calculations - Theoretical Biophysics Group

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<strong>Free</strong>-<strong>energy</strong> perturbation <strong>calculations</strong> “Alchemical transformations”<br />

The resulting numerical instabilities cause large fluctuations<br />

in the estimated 〈∆U〉, attenuated only after extensive<br />

sampling.<br />

The most trivial one consists in splitting the reaction pathway<br />

into windows of uneven widths, δλ, and using a large<br />

number of narrow windows when λ approaches 0 or 1.<br />

Equivalent to adopting a non-linear dependence of the<br />

interaction potential <strong>energy</strong> on λ.<br />

Clashes between the appearing atoms and the rest of the<br />

system occur even for windows as narrow as δλ 10 −5 .<br />

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

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