29.03.2013 Views

Free-energy calculations - Theoretical Biophysics Group

Free-energy calculations - Theoretical Biophysics Group

Free-energy calculations - Theoretical Biophysics Group

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>Free</strong>-<strong>energy</strong> perturbation <strong>calculations</strong> Introduction<br />

Perturbation theory is one of the oldest and most useful, general techniques in applied<br />

mathematics.<br />

Its initial applications to physics were in celestial mechanics, and its goal was to<br />

explain how the presence of bodies other than the sun perturbed the elliptical orbits<br />

of planets.<br />

Although applications of perturbation theory vary widely, the main idea remains the<br />

same: One starts with an initial problem, called the unperturbed or reference problem.<br />

The problem of interest, called the target problem, is represented in terms of a perturbation<br />

to the reference problem.<br />

The effect of the perturbation is expressed as an expansion in a series with respect<br />

to a small quantity, called the perturbation parameter.<br />

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!