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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 />

Basic Thermodynamics – Statistical Mechanics<br />

1 / =<br />

(<br />

dS<br />

dE<br />

)<br />

T<br />

N , V<br />

NkT<br />

= ∑<br />

2<br />

m i<br />

v i<br />

For a large subset of a huge system, <strong>in</strong> the equilibrium state,<br />

Total E= E 1 +E 2 under mean field condition<br />

s<br />

= k ln<br />

Ω<br />

⎛ ∂k<br />

ln Ω(<br />

E , E − E<br />

⎜<br />

⎝ ∂E1<br />

) ⎞<br />

⎟<br />

⎠<br />

1 1<br />

=<br />

N , V , E<br />

0<br />

⎛ ∂k<br />

ln Ω(<br />

E1 , V , N)<br />

⎜<br />

⎝ ∂E1<br />

⎞<br />

⎟<br />

⎠<br />

N , V , E<br />

= β<br />

β = 1/(<br />

kT )

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