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Expoente de Lyapunov para um Gás de Lennard–Jones - CBPFIndex

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D. Função <strong>de</strong> distribuição radial 119<br />

radial <strong>para</strong> os potenciais Φ lj (r) e Φ sf (r).<br />

Encerraremos este apêndice reproduzindo <strong>um</strong> ilustrativo trecho do livro <strong>de</strong> Balescu (R. Ba-<br />

lescu [56], Pág. 232) a respeito da função g2 (r), por ele <strong>de</strong>notata por n2 (r):<br />

1.5<br />

1.0<br />

0.5<br />

0.0<br />

“The rea<strong>de</strong>r must be warned at this stage against the distressing variety of nota-<br />

tions and names found in the literature in this field. Often n2 is called a correlation<br />

function; in some papers our n2 is <strong>de</strong>noted g2, in others ν2 is <strong>de</strong>noted by g2 ,<br />

and so on. The rea<strong>de</strong>r is advised to check carefully the notation before reading any<br />

paper; (...)”<br />

T * = k B T / ε = 1.50<br />

Φ LJ<br />

Φ SF<br />

0.0 1.0 2.0 = 2.5 3.0 r / σ<br />

r * c<br />

g 2 (r) = e − Φ(r) / k B T<br />

Figura D.1: Aproximação <strong>para</strong> baixas <strong>de</strong>nsida<strong>de</strong>s da função <strong>de</strong> distribuição radial <strong>para</strong> dois<br />

potenciais distintos. Φ lj (r) correspon<strong>de</strong> ao potencial <strong>de</strong> <strong>Lennard–Jones</strong> original<br />

e Φ sf (r) ao potencial <strong>de</strong> <strong>Lennard–Jones</strong> Shifted-Force (ver Cap. 4). Para <strong>um</strong>a<br />

melhor com<strong>para</strong>ção, não truncamos a interação.

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