Buldyrev and Stanley model

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The Buldyrev and Stanley model consists of a double shoulder plus a square well (Ref. 1 Eq. 1):

\Phi_{12}\left( r \right) = \left\{ \begin{array}{ccc} \infty & ; & r < a \\ U_1 & ; &a \le r < b_1 \\ U_2 & ; & b_1 \le r < b_2 \\ -U_A & ; & b_2 \le r < c \\ 0 & ; & r \ge c \end{array} \right.

where Φ12(r) is the intermolecular pair potential, r := |\mathbf{r}_1 - \mathbf{r}_2|, and c > b2 > b1 > a and UA > 0.

[edit] References

  1. Sergey V. Buldyrev and H. Eugene Stanley "A system with multiple liquid–liquid critical points", Physica A 330 pp. 124-129 (2003)
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