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Modelowanie molekularne - metody Monte Carlo

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Wprowadzenie Pola siłowe Klasyczna metoda <strong>Monte</strong> <strong>Carlo</strong> Kwantowe <strong>metody</strong> <strong>Monte</strong> <strong>Carlo</strong><br />

Mechanika statystyczna<br />

Rozkład Boltzmanna:<br />

P i = exp(−E i/k B T )<br />

∑<br />

j exp(−E j/k B T )<br />

Energia średnia (wartość oczekiwana energii):<br />

〈E〉 = ∑ i<br />

E i P i = − 1 ∂Q<br />

Q ∂(1/k B T ) = − ∂ ln Q<br />

∂(1/k B T ) ,<br />

Q - funkcja podziału.<br />

Energia swobodna Helmholtza:<br />

( ∑<br />

F = −k B T ln Q = −k B T ln<br />

i<br />

exp(−E i /k B T )<br />

)<br />

.

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