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):

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi\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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c>b_2>b_1>a} and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle U_{A}>0} .

References

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