Mie potential - Revision history

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

2018-09-12T12:11:06Z

References: Added a recent publiaction

← Older revision		Revision as of 14:11, 12 September 2018
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	*[http://dx.doi.org/10.1016/j.molliq.2016.12.026 I.M. Zerón, L.A. Padilla, F. Gámez, J. Torres-Arenas, A.L. Benavides "Discrete perturbation theory for Mie potentials", Journal of Molecular Liquids '''229''' pp. 125-136 (2017)]		*[http://dx.doi.org/10.1016/j.molliq.2016.12.026 I.M. Zerón, L.A. Padilla, F. Gámez, J. Torres-Arenas, A.L. Benavides "Discrete perturbation theory for Mie potentials", Journal of Molecular Liquids '''229''' pp. 125-136 (2017)]
	*[http://dx.doi.org/10.1080/00268976.2016.1206218 Stephan Werth, Katrin Stöbener, Martin Horsch and Hans Hasse "Simultaneous description of bulk and interfacial properties of fluids by the Mie potential", Molecular Physics '''115''' pp. 1017-1030 (2017)]		*[http://dx.doi.org/10.1080/00268976.2016.1206218 Stephan Werth, Katrin Stöbener, Martin Horsch and Hans Hasse "Simultaneous description of bulk and interfacial properties of fluids by the Mie potential", Molecular Physics '''115''' pp. 1017-1030 (2017)]
			*[https://doi.org/10.1063/1.5041320 Richard J. Sadus "Second virial coefficient properties of the n-m Lennard-Jones/Mie potential", Journal of Chemical Physics 149, 074504 (2018)]

	[[Category: Models]]		[[Category: Models]]

Carl McBride: /* Second virial coefficient */ Added lint to an Erratum

2018-05-03T09:37:46Z

Second virial coefficient: Added lint to an Erratum

← Older revision		Revision as of 11:37, 3 May 2018
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	<ref>[http://dx.doi.org/10.1063/1.4961653 D. M. Heyes, G. Rickayzen, S. Pieprzyk and A. C. Brańka "The second virial coefficient and critical point behavior of the Mie Potential", Journal of Chemical Physics '''145''' 084505 (2016)]</ref>		<ref>[http://dx.doi.org/10.1063/1.4961653 D. M. Heyes, G. Rickayzen, S. Pieprzyk and A. C. Brańka "The second virial coefficient and critical point behavior of the Mie Potential", Journal of Chemical Physics '''145''' 084505 (2016)]</ref>
	<ref>[https://doi.org/10.1063/1.5006035 D. M. Heyes and T. Pereira de Vasconcelos "The second virial coefficient of bounded Mie potentials", Journal of Chemical Physics '''147''' 214504 (2017)]</ref>		<ref>[https://doi.org/10.1063/1.5006035 D. M. Heyes and T. Pereira de Vasconcelos "The second virial coefficient of bounded Mie potentials", Journal of Chemical Physics '''147''' 214504 (2017)]</ref>
			<ref>[https://doi.org/10.1063/1.5030679 D. M. Heyes and T. Pereira de Vasconcelos "Erratum: “The second virial coefficient of bounded Mie potentials” <nowiki>[</nowiki>J. Chem. Phys. 147, 214504 (2017)<nowiki>]</nowiki>", Journal of Chemical Physics '''148''' 169903 (2018)]</ref>
	and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.		and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.

Carl McBride: /* Second virial coefficient */ Added a recent publication

2017-12-11T12:39:30Z

Second virial coefficient: Added a recent publication

← Older revision		Revision as of 14:39, 11 December 2017
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	<ref>[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]</ref>		<ref>[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]</ref>
	==Second virial coefficient==		==Second virial coefficient==
	The [[second virial coefficient]] <ref>[http://dx.doi.org/10.1063/1.4961653 D. M. Heyes, G. Rickayzen, S. Pieprzyk and A. C. Brańka "The second virial coefficient and critical point behavior of the Mie Potential", Journal of Chemical Physics '''145''' 084505 (2016)]</ref> and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.		The [[second virial coefficient]]
			<ref>[http://dx.doi.org/10.1063/1.4961653 D. M. Heyes, G. Rickayzen, S. Pieprzyk and A. C. Brańka "The second virial coefficient and critical point behavior of the Mie Potential", Journal of Chemical Physics '''145''' 084505 (2016)]</ref>
			<ref>[https://doi.org/10.1063/1.5006035 D. M. Heyes and T. Pereira de Vasconcelos "The second virial coefficient of bounded Mie potentials", Journal of Chemical Physics '''147''' 214504 (2017)]</ref>
			and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.

	==References==		==References==

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

2017-05-19T12:06:16Z

References: Added a recent publication

← Older revision		Revision as of 14:06, 19 May 2017
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	*[http://dx.doi.org/10.1080/00268976.2015.1025112 N.S. Ramrattan, C. Avendaño, E.A. Müller and A. Galindo "A corresponding-states framework for the description of the Mie family of intermolecular potentials", Molecular Physics '''113''' pp. 932-947 (2015)]		*[http://dx.doi.org/10.1080/00268976.2015.1025112 N.S. Ramrattan, C. Avendaño, E.A. Müller and A. Galindo "A corresponding-states framework for the description of the Mie family of intermolecular potentials", Molecular Physics '''113''' pp. 932-947 (2015)]
	*[http://dx.doi.org/10.1016/j.molliq.2016.12.026 I.M. Zerón, L.A. Padilla, F. Gámez, J. Torres-Arenas, A.L. Benavides "Discrete perturbation theory for Mie potentials", Journal of Molecular Liquids '''229''' pp. 125-136 (2017)]		*[http://dx.doi.org/10.1016/j.molliq.2016.12.026 I.M. Zerón, L.A. Padilla, F. Gámez, J. Torres-Arenas, A.L. Benavides "Discrete perturbation theory for Mie potentials", Journal of Molecular Liquids '''229''' pp. 125-136 (2017)]
			*[http://dx.doi.org/10.1080/00268976.2016.1206218 Stephan Werth, Katrin Stöbener, Martin Horsch and Hans Hasse "Simultaneous description of bulk and interfacial properties of fluids by the Mie potential", Molecular Physics '''115''' pp. 1017-1030 (2017)]

	[[Category: Models]]		[[Category: Models]]

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

2017-02-24T12:59:33Z

References: Added a recent publication

← Older revision		Revision as of 14:59, 24 February 2017
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	*[http://dx.doi.org/10.1016/j.physleta.2008.10.047 Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A '''372''' pp. 7024-7027 (2008)]		*[http://dx.doi.org/10.1016/j.physleta.2008.10.047 Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A '''372''' pp. 7024-7027 (2008)]
	*[http://dx.doi.org/10.1080/00268976.2015.1025112 N.S. Ramrattan, C. Avendaño, E.A. Müller and A. Galindo "A corresponding-states framework for the description of the Mie family of intermolecular potentials", Molecular Physics '''113''' pp. 932-947 (2015)]		*[http://dx.doi.org/10.1080/00268976.2015.1025112 N.S. Ramrattan, C. Avendaño, E.A. Müller and A. Galindo "A corresponding-states framework for the description of the Mie family of intermolecular potentials", Molecular Physics '''113''' pp. 932-947 (2015)]
			*[http://dx.doi.org/10.1016/j.molliq.2016.12.026 I.M. Zerón, L.A. Padilla, F. Gámez, J. Torres-Arenas, A.L. Benavides "Discrete perturbation theory for Mie potentials", Journal of Molecular Liquids '''229''' pp. 125-136 (2017)]


	[[Category: Models]]		[[Category: Models]]

Carl McBride: /* Second virial coefficient */ Added a recent publication

2016-09-16T10:51:48Z

Second virial coefficient: Added a recent publication

← Older revision		Revision as of 12:51, 16 September 2016
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	<ref>[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]</ref>		<ref>[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]</ref>
	==Second virial coefficient==		==Second virial coefficient==
	The [[second virial coefficient]] and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.		The [[second virial coefficient]] <ref>[http://dx.doi.org/10.1063/1.4961653 D. M. Heyes, G. Rickayzen, S. Pieprzyk and A. C. Brańka "The second virial coefficient and critical point behavior of the Mie Potential", Journal of Chemical Physics '''145''' 084505 (2016)]</ref> and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.

	==References==		==References==
	<references/>		<references/>

129.59.37.35: Give an expression for the location of the potential minimum.

2015-08-04T16:38:45Z

Give an expression for the location of the potential minimum.

← Older revision		Revision as of 18:38, 4 August 2015
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	* <math> \epsilon </math> : well depth (energy)		* <math> \epsilon </math> : well depth (energy)
	Note that when <math>n=12</math> and <math>m=6</math> this becomes the [[Lennard-Jones model]].		Note that when <math>n=12</math> and <math>m=6</math> this becomes the [[Lennard-Jones model]].

			The location of the potential minimum is given by
			:<math> r_{min} = \left( \frac{n}{m} \sigma^{n-m} \right) ^ {1/(n-m)} </math>
	==(14,7) model==		==(14,7) model==
	<ref>[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)]</ref>		<ref>[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)]</ref>

Carl McBride: Added a recent publication

2015-05-22T10:34:37Z

Added a recent publication

← Older revision		Revision as of 12:34, 22 May 2015
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	The '''Mie potential''' was proposed by Gustav Mie in 1903 <ref>[http://dx.doi.org/10.1002/andp.19033160802 Gustav Mie "Zur kinetischen Theorie der einatomigen Körper", Annalen der Physik '''11''' pp. 657-697 (1903)] (check this reference)</ref>. It is given by		The '''Mie potential''' was proposed by Gustav Mie in 1903 <ref>[http://dx.doi.org/10.1002/andp.19033160802 Gustav Mie "Zur kinetischen Theorie der einatomigen Körper", Annalen der Physik '''11''' pp. 657-697 (1903)] (Note: check the content of this reference)</ref>. It is given by
	:<math> \Phi_{12}(r) = \left( \frac{n}{n-m}\right) \left( \frac{n}{m}\right)^{m/(n-m)} \epsilon \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^m \right] </math>		:<math> \Phi_{12}(r) = \left( \frac{n}{n-m}\right) \left( \frac{n}{m}\right)^{m/(n-m)} \epsilon \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^m \right] </math>

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	'''Related reading'''		'''Related reading'''
	*[http://dx.doi.org/10.1016/j.physleta.2008.10.047 Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A '''372''' pp. 7024-7027 (2008)]		*[http://dx.doi.org/10.1016/j.physleta.2008.10.047 Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A '''372''' pp. 7024-7027 (2008)]
			*[http://dx.doi.org/10.1080/00268976.2015.1025112 N.S. Ramrattan, C. Avendaño, E.A. Müller and A. Galindo "A corresponding-states framework for the description of the Mie family of intermolecular potentials", Molecular Physics '''113''' pp. 932-947 (2015)]


	[[Category: Models]]		[[Category: Models]]

Carl McBride: Slight tidy

2011-04-14T14:04:11Z

Slight tidy

← Older revision		Revision as of 16:04, 14 April 2011
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	Note that when <math>n=12</math> and <math>m=6</math> this becomes the [[Lennard-Jones model]].		Note that when <math>n=12</math> and <math>m=6</math> this becomes the [[Lennard-Jones model]].
	==(14,7) model==		==(14,7) model==
	#[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)]		<ref>[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)]</ref>
	#[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]		<ref>[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]</ref>
	==Second virial coefficient==		==Second virial coefficient==
	The [[second virial coefficient]] and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.		The [[second virial coefficient]] and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.

Carl McBride: Added a recent publication

2011-04-14T13:57:05Z

Added a recent publication

← Older revision		Revision as of 15:57, 14 April 2011
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	#[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)]		#[http://dx.doi.org/10.1063/1.2901164 Afshin Eskandari Nasrabad "Monte Carlo simulations of thermodynamic and structural properties of Mie(14,7) fluids", Journal of Chemical Physics '''128''' 154514 (2008)]
	#[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]		#[http://dx.doi.org/10.1063/1.2953331 Afshin Eskandari Nasrabad, Nader Mansoori Oghaz, and Behzad Haghighi "Transport properties of Mie(14,7) fluids: Molecular dynamics simulation and theory", Journal of Chemical Physics '''129''' 024507 (2008)]
			==Second virial coefficient==
			The [[second virial coefficient]] and the Vliegenthart–Lekkerkerker relation <ref>[http://dx.doi.org/10.1063/1.3578469 V. L. Kulinskii "The Vliegenthart–Lekkerkerker relation: The case of the Mie-fluids", Journal of Chemical Physics '''134''' 144111 (2011)]</ref>.
	==References==		==References==
	<references/>		<references/>