Nice and Tidy: Better defined r

2008-07-17T13:56:02Z

Better defined r

← Older revision		Revision as of 15:56, 17 July 2008
Line 3:		Line 3:

	:<math>		:<math>
	\~~Phi~~\left( r \right) =		\Phi_{12}\left( r \right) =
	\left\{ \begin{array}{ccc}		\left\{ \begin{array}{ccc}
	\infty & ; & r < a \\		\infty & ; & r < a \\
Line 12:		Line 12:
	</math>		</math>

	where <math>c>b_2>b_1>a</math> and <math>U_A>0</math>.		where <math>\Phi_{12} (r)</math> is the [[intermolecular pair potential]], <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math>, and <math>c>b_2>b_1>a</math> and <math>U_A>0</math>.
	==References==		==References==
	#[http://dx.doi.org/10.1016/j.physa.2003.08.003 Sergey V. Buldyrev and H. Eugene Stanley "A system with multiple liquid–liquid critical points", Physica A '''330''' pp. 124-129 (2003)]		#[http://dx.doi.org/10.1016/j.physa.2003.08.003 Sergey V. Buldyrev and H. Eugene Stanley "A system with multiple liquid–liquid critical points", Physica A '''330''' pp. 124-129 (2003)]
	[[category: Polyamorphic systems]]		[[category: Polyamorphic systems]]
	[[category: models]]		[[category: models]]

Carl McBride: New page: {{stub-general}} The '''Buldyrev and Stanley model''' consists of a double shoulder plus a square well (Ref. 1 Eq. 1): : $\Phi\left(...$

2008-02-22T13:44:16Z

New page: {{stub-general}} The '''Buldyrev and Stanley model''' consists of a double shoulder plus a square well (Ref. 1 Eq. 1): :<math> \Phi\left(...

New page

{{stub-general}}
The '''Buldyrev and Stanley model''' consists of a double [[Square shoulder model |shoulder]] plus a [[Square well model |square well]] (Ref. 1 Eq. 1):

:<math>
\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.
</math>

where <math>c>b_2>b_1>a</math> and <math>U_A>0</math>.
==References==
#[http://dx.doi.org/10.1016/j.physa.2003.08.003 Sergey V. Buldyrev and H. Eugene Stanley "A system with multiple liquid–liquid critical points", Physica A '''330''' pp. 124-129 (2003)]
[[category: Polyamorphic systems]]
[[category: models]]

Buldyrev and Stanley model - Revision history

Nice and Tidy: Better defined r

Carl McBride: New page: {{stub-general}} The '''Buldyrev and Stanley model''' consists of a double shoulder plus a square well (Ref. 1 Eq. 1): : \Phi\left(...

Carl McBride: New page: {{stub-general}} The '''Buldyrev and Stanley model''' consists of a double shoulder plus a square well (Ref. 1 Eq. 1): : $\Phi\left(...$