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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> <strong>2.</strong>1<br />

Extended Hamiltonian to Realize Grand Canonical Ensemble<br />

One particle scheme:<br />

H<br />

extended<br />

1 dsr<br />

= H<br />

o<br />

( n −1)<br />

+ M<br />

r<br />

+ sr<br />

( U<br />

o<br />

− μ ) + μ<br />

2 dt<br />

0≤ S r<br />

≤1<br />

2<br />

Drawbacks: 1. Particle number fluctuation magnitude can be larger<br />

than 1.<br />

<strong>2.</strong> When Sr = 0, it can take long simulation time for the ghost<br />

particle to locate a position aga<strong>in</strong>. Why <br />

Interaction S<strong>in</strong>gularity.

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