Strongly correlating liquids - Revision history

Carl McBride: /* References */ Added a recent publication

2012-02-16T16:18:17Z

References: Added a recent publication

← Older revision		Revision as of 18:18, 16 February 2012
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	*[http://dx.doi.org/10.1063/1.2982249 Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. II. Analysis and consequences", Journal of Chemical Physics '''129''' 184508 (2008)]		*[http://dx.doi.org/10.1063/1.2982249 Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. II. Analysis and consequences", Journal of Chemical Physics '''129''' 184508 (2008)]
	*[http://dx.doi.org/10.1063/1.3265955 Thomas B. Schrøder, Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, and Jeppe C. Dyre "Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance", Journal of Chemical Physics '''131''' 234503 (2009)]		*[http://dx.doi.org/10.1063/1.3265955 Thomas B. Schrøder, Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, and Jeppe C. Dyre "Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance", Journal of Chemical Physics '''131''' 234503 (2009)]
			*[http://dx.doi.org/10.1063/1.3685804 Trond S. Ingebrigtsen, Lasse Bøhling, Thomas B. Schrøder, and Jeppe C. Dyre "Communication: Thermodynamics of condensed matter with strong pressure-energy correlations", Journal of Chemical Physics '''136''' 061102 (2012)]


	[[category: Classical thermodynamics]]		[[category: Classical thermodynamics]]
	[[category: Statistical mechanics]]		[[category: Statistical mechanics]]

Carl McBride: Changed V for mathcal{V} so as not to appear to be the volume

2011-05-18T14:18:56Z

Changed V for mathcal{V} so as not to appear to be the volume

← Older revision		Revision as of 16:18, 18 May 2011
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	'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 6 <ref>[http://dx.doi.org/10.1063/1.2982247 Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. I. Results from computer simulations", Journal of Chemical Physics '''129''' 184507 (2008)]</ref>)		'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 6 <ref>[http://dx.doi.org/10.1063/1.2982247 Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. I. Results from computer simulations", Journal of Chemical Physics '''129''' 184507 (2008)]</ref>)

	:<math>R=\frac{\langle \Delta V \Delta U \rangle}{ \sqrt{ \langle (\Delta V)^2 \rangle \langle (\Delta U)^2 \rangle } }</math>		:<math>R=\frac{\langle \Delta \mathcal{V} \Delta U \rangle}{ \sqrt{ \langle (\Delta \mathcal{V})^2 \rangle \langle (\Delta U)^2 \rangle } }</math>

	where <math>\Delta U</math> represents [[Fluctuation theorem \| fluctuations]] of the potential in the [[Canonical ensemble \| NVT ensemble]] and <math>V</math>		where <math>\Delta U</math> represents [[Fluctuation theorem \| fluctuations]] of the potential in the [[Canonical ensemble \| NVT ensemble]] and <math>\mathcal{V}</math>
	is the [[virial]] (see also [[Virial pressure]]).		is the [[Virial theorem \| virial]] (see also [[Virial pressure]]).
	==Isomorphs==		==Isomorphs==
	<ref>[http://dx.doi.org/10.1063/1.3265957 Nicoletta Gnan, Thomas B. Schrøder, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. IV. “Isomorphs” in liquid phase diagrams", Journal of Chemical Physics '''131''' 234504 (2009)]</ref>		<ref>[http://dx.doi.org/10.1063/1.3265957 Nicoletta Gnan, Thomas B. Schrøder, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. IV. “Isomorphs” in liquid phase diagrams", Journal of Chemical Physics '''131''' 234504 (2009)]</ref>

Carl McBride: Changed category

2011-05-18T13:26:49Z

Changed category

← Older revision		Revision as of 15:26, 18 May 2011
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	*[http://dx.doi.org/10.1063/1.3265955 Thomas B. Schrøder, Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, and Jeppe C. Dyre "Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance", Journal of Chemical Physics '''131''' 234503 (2009)]		*[http://dx.doi.org/10.1063/1.3265955 Thomas B. Schrøder, Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, and Jeppe C. Dyre "Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance", Journal of Chemical Physics '''131''' 234503 (2009)]

	[[category:~~Complex systems~~]]		[[category: Classical thermodynamics]]
			[[category: Statistical mechanics]]

Carl McBride: Added links to the other papaers in the seies.

2011-05-18T09:43:14Z

Added links to the other papaers in the seies.

← Older revision		Revision as of 11:43, 18 May 2011
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	'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 2 <ref>[http://dx.doi.org/10.1063/1.~~3582900 Thomas B~~. ~~Schrøder, Nicoletta Gnan~~, Ulf R. Pedersen, ~~Nicholas P~~. ~~Bailey~~, and Jeppe C. Dyre "Pressure-energy correlations in liquids. V. ~~Isomorphs in generalized Lennard-Jones systems~~", Journal of Chemical Physics '''~~134~~''' ~~164505~~ (~~2011~~)]</ref>)		'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 6 <ref>[http://dx.doi.org/10.1063/1.2982247 Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. I. Results from computer simulations", Journal of Chemical Physics '''129''' 184507 (2008)]</ref>)

	:<math>R=\frac{\langle \Delta V \Delta U \rangle}{ \sqrt{ \langle (\Delta V)^2 \rangle \langle (\Delta U)^2 \rangle } }</math>		:<math>R=\frac{\langle \Delta V \Delta U \rangle}{ \sqrt{ \langle (\Delta V)^2 \rangle \langle (\Delta U)^2 \rangle } }</math>
Line 5:		Line 5:
	where <math>\Delta U</math> represents [[Fluctuation theorem \| fluctuations]] of the potential in the [[Canonical ensemble \| NVT ensemble]] and <math>V</math>		where <math>\Delta U</math> represents [[Fluctuation theorem \| fluctuations]] of the potential in the [[Canonical ensemble \| NVT ensemble]] and <math>V</math>
	is the [[virial]] (see also [[Virial pressure]]).		is the [[virial]] (see also [[Virial pressure]]).
			==Isomorphs==
			<ref>[http://dx.doi.org/10.1063/1.3265957 Nicoletta Gnan, Thomas B. Schrøder, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. IV. “Isomorphs” in liquid phase diagrams", Journal of Chemical Physics '''131''' 234504 (2009)]</ref>
	==Lennard-Jones liquid==		==Lennard-Jones liquid==
	The liquid phase formed by the [[Lennard-Jones model]] is an example of a strongly correlating liquid.		The liquid phase formed by the [[Lennard-Jones model]] is an example of a strongly correlating liquid<ref>[http://dx.doi.org/10.1063/1.3582900 Thomas B. Schrøder, Nicoletta Gnan, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems", Journal of Chemical Physics '''134''' 164505 (2011)]</ref>.
	==References==		==References==
	<references/>		<references/>
	;Related reading		;Related reading
			*[http://dx.doi.org/10.1063/1.2982249 Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. II. Analysis and consequences", Journal of Chemical Physics '''129''' 184508 (2008)]
			*[http://dx.doi.org/10.1063/1.3265955 Thomas B. Schrøder, Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, and Jeppe C. Dyre "Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance", Journal of Chemical Physics '''131''' 234503 (2009)]

	[[category:Complex systems]]		[[category:Complex systems]]

Carl McBride at 08:48, 18 May 2011

2011-05-18T08:48:55Z

← Older revision		Revision as of 10:48, 18 May 2011
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	'''Strongly correlating liquids'''		'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 2 <ref>[http://dx.doi.org/10.1063/1.3582900 Thomas B. Schrøder, Nicoletta Gnan, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems", Journal of Chemical Physics '''134''' 164505 (2011)]</ref>)

			:<math>R=\frac{\langle \Delta V \Delta U \rangle}{ \sqrt{ \langle (\Delta V)^2 \rangle \langle (\Delta U)^2 \rangle } }</math>

			where <math>\Delta U</math> represents [[Fluctuation theorem \| fluctuations]] of the potential in the [[Canonical ensemble \| NVT ensemble]] and <math>V</math>
			is the [[virial]] (see also [[Virial pressure]]).
			==Lennard-Jones liquid==
			The liquid phase formed by the [[Lennard-Jones model]] is an example of a strongly correlating liquid.
	==References==		==References==
			<references/>
	;Related reading		;Related reading
	[[category:Complex systems]]		[[category:Complex systems]]

Carl McBride: Created page with "'''Strongly correlating liquids''' ==References== ;Related reading category:Complex systems"

2011-05-18T08:04:30Z

Created page with "'''Strongly correlating liquids''' ==References== ;Related reading category:Complex systems"

New page

'''Strongly correlating liquids'''
==References==
;Related reading
[[category:Complex systems]]