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Molecular Dynamics Chapter 2. Molecular Dynamics in Various ...

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<strong>Molecular</strong> <strong>Dynamics</strong> <strong>Chapter</strong> 1.1<br />

Nose-Hoover Thermostat<br />

H<br />

extended<br />

N<br />

= U<br />

o<br />

+ ∑<br />

i=<br />

1<br />

p<br />

2<br />

i<br />

2m s<br />

i<br />

2<br />

r<br />

+<br />

1<br />

2<br />

M<br />

r<br />

ds<br />

dt<br />

r<br />

2<br />

+<br />

L<br />

ln sr<br />

β<br />

1. S r has to be greater than 1. (Lagrangian multiplier)<br />

<strong>2.</strong> S r plays a role <strong>in</strong> rescal<strong>in</strong>g the time-step.<br />

3. So, the real time step fluctuates.<br />

4. The Q is equivalent to the Q of the canonical ensemble.

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