Van der Waals' density gradient theory - Revision history

Carl McBride: Slight tidy

2007-10-29T10:42:52Z

Slight tidy

← Older revision		Revision as of 12:42, 29 October 2007
Line 1:		Line 1:
	~~This~~ can be considered as the first [[density-functional theory]].		'''Van der Waals' density gradient theory''' can be considered to be the first [[density-functional theory]].

	The [[Grand canonical ensemble \| grand potential ]] of an interface is expressed as		The [[Grand canonical ensemble \| grand potential ]] of an interface is expressed as
Line 11:		Line 11:
	==References==		==References==
	# J. D. van der Waals and P. Kohnstamm "Lehrbuch der Thermostatik", Verlag Von Johann Ambrosius Barth, Leipzig (1927)		# J. D. van der Waals and P. Kohnstamm "Lehrbuch der Thermostatik", Verlag Von Johann Ambrosius Barth, Leipzig (1927)
	# J.S. Rowlinson and B. Widom "Molecular Theory of Capillarity". Dover 2002 (originally: Oxford University Press 1982)		# J. S. Rowlinson and B. Widom "Molecular Theory of Capillarity". Dover 2002 (originally: Oxford University Press 1982)
	[[category: Density-functional theory]]		[[category: Density-functional theory]]

Carl McBride: /* References */

2007-10-29T10:40:43Z

References

← Older revision		Revision as of 12:40, 29 October 2007
Line 10:		Line 10:

	==References==		==References==
	# J.S. Rowlinson and B. Widom "Molecular Theory of Capillarity". Dover 2002 (originally: Oxford University Press 1982.)		# J. D. van der Waals and P. Kohnstamm "Lehrbuch der Thermostatik", Verlag Von Johann Ambrosius Barth, Leipzig (1927)
			# J.S. Rowlinson and B. Widom "Molecular Theory of Capillarity". Dover 2002 (originally: Oxford University Press 1982)
	[[category: Density-functional theory]]		[[category: Density-functional theory]]

Dduque: New page: This can be considered as the first density-functional theory. The grand potential of an interface is expressed as : $\Omega = \int dr \omega(\rho(...$

2007-10-29T09:15:27Z

New page: This can be considered as the first density-functional theory. The grand potential of an interface is expressed as :<math>\Omega = \int dr \omega(\rho(...

New page

This can be considered as the first [[density-functional theory]].

The [[Grand canonical ensemble | grand potential ]] of an interface is expressed as
:<math>\Omega = \int dr \omega(\rho(r)) + c \int dr (\nabla\rho)^2 </math>,
where a [[ density-functional theory | local ]] approximation is employed in
the first term (<math>\omega</math> being the grand potential density of the
bulk system), and the variation in the density profile enters in the second term.
This second term is the integral of the square of the density gradient, with
a proportionality constant that is termed the '''influence parameter'''.

==References==
# J.S. Rowlinson and B. Widom "Molecular Theory of Capillarity". Dover 2002 (originally: Oxford University Press 1982.)

[[category: Density-functional theory]]

Van der Waals' density gradient theory - Revision history

Carl McBride: Slight tidy

Carl McBride: /* References */

Dduque: New page: This can be considered as the first density-functional theory. The grand potential of an interface is expressed as :\Omega = \int dr \omega(\rho(...

Dduque: New page: This can be considered as the first density-functional theory. The grand potential of an interface is expressed as : $\Omega = \int dr \omega(\rho(...$