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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.