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Langevin Dynamics<br />

– MD methods generate detailed informa4on about all the <br />

par4cles in the system and are therefore well suited for <br />

calcula4ng collec4ve proper4es. <br />

– if the interest is in the dynamics of a single molecule, the <br />

surrounding molecules can be modelled by only including their <br />

average interac4ons. <br />

– Langevin equa4on of mo4on: <br />

• normal intramolecular forces (F intra ) <br />

• the average interac4on is assumed to have a fric4on term (ζ) propor4onal to the <br />

atomic velocity (term removes energy) <br />

• a random component (F random ) that averages to zero (Gaussian distribu4on) <br />

(associated with a temperature: adds energy) <br />

– the Langevin equa4on of mo4on gives rise to stochas4c or <br />

Brownian dynamics.

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