Widom line: Difference between revisions
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The '''Widom line'''<ref>[http://dx.doi.org/10.1073/pnas.0507870102 Limei Xu, Pradeep Kumar, S. V. Buldyrev, S.-H. Chen, P. H. Poole, F. Sciortino, and H. E. Stanley "Relation between the Widom line and the dynamic crossover in systems with a liquid–liquid phase transition", PNAS '''102''' pp. 16558-16562 (2005)]</ref> (not to be confused with the [[Fisher-Widom line]]) is defined as the line in the [[Phase diagrams: Pressure-temperature plane | pressure-temperature plane]] where the [[Critical exponents#Correlation length |correlation length]] has its maximum <ref>[http://dx.doi.org/10.1140/epjst/e2008-00746-3 H. E. Stanley, P. Kumar, G. Franzese, L. Xu, Z. Yan, M. G. Mazza, S. V. Buldyrev, S.-H. Chen and F. Mallamace "Liquid polyamorphism: Possible relation to the anomalous behaviour of water", European Physical Journal - Special Topics '''161''' pp. 1-17 (2008)]</ref> , and emanates from the hypothesized | The '''Widom line'''<ref>[http://dx.doi.org/10.1073/pnas.0507870102 Limei Xu, Pradeep Kumar, S. V. Buldyrev, S.-H. Chen, P. H. Poole, F. Sciortino, and H. E. Stanley "Relation between the Widom line and the dynamic crossover in systems with a liquid–liquid phase transition", PNAS '''102''' pp. 16558-16562 (2005)]</ref> (not to be confused with the [[Fisher-Widom line]]) is defined as the line in the [[Phase diagrams: Pressure-temperature plane | pressure-temperature plane]] where the [[Critical exponents#Correlation length |correlation length]] has its maximum <ref>[http://dx.doi.org/10.1140/epjst/e2008-00746-3 H. E. Stanley, P. Kumar, G. Franzese, L. Xu, Z. Yan, M. G. Mazza, S. V. Buldyrev, S.-H. Chen and F. Mallamace "Liquid polyamorphism: Possible relation to the anomalous behaviour of water", European Physical Journal - Special Topics '''161''' pp. 1-17 (2008)]</ref> , and emanates from the hypothesized | ||
[[Liquid-liquid phase transitions |liquid–liquid]] [[critical points | critical point]] of [[water]] . It was named the Widom line by [[H. Eugene Stanley]]<ref>[http://www.bu.edu/phpbin/researchbriefs/display.php?id=659 Sergey V. Buldyrev "Water wisdom and Widom", Boston University Research Briefs '''December 6''' (2005)]</ref> in honour of [[Benjamin Widom]]. Recently the Widom line has been calculated for the [[Lennard-Jones model]]<ref>[http://dx.doi.org/10.1021/jp2039898 V. V. Brazhkin, Yu. D. Fomin, A. G. Lyapin, V. N. Ryzhov, and E. N. Tsiok "Widom Line for the Liquid–Gas Transition in Lennard-Jones System", Journal of Physical Chemistry B Article ASAP (2011)]</ref>. | [[Liquid-liquid phase transitions |liquid–liquid]] [[critical points | critical point]] of [[water]] . It was named the Widom line by [[H. Eugene Stanley]]<ref>[http://www.bu.edu/phpbin/researchbriefs/display.php?id=659 Sergey V. Buldyrev "Water wisdom and Widom", Boston University Research Briefs '''December 6''' (2005)]</ref> in honour of [[Benjamin Widom]]. Recently the Widom line has been calculated for the [[Lennard-Jones model]]<ref>[http://dx.doi.org/10.1021/jp2039898 V. V. Brazhkin, Yu. D. Fomin, A. G. Lyapin, V. N. Ryzhov, and E. N. Tsiok "Widom Line for the Liquid–Gas Transition in Lennard-Jones System", Journal of Physical Chemistry B Article ASAP (2011)]</ref>. | ||
==Related lines== | |||
*[[Frenkel line]] | |||
*[[Fisher-Widom line]] | |||
==References== | ==References== | ||
<references/> | <references/> | ||
Revision as of 17:26, 26 February 2015
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The Widom line[1] (not to be confused with the Fisher-Widom line) is defined as the line in the pressure-temperature plane where the correlation length has its maximum [2] , and emanates from the hypothesized liquid–liquid critical point of water . It was named the Widom line by H. Eugene Stanley[3] in honour of Benjamin Widom. Recently the Widom line has been calculated for the Lennard-Jones model[4].
Related lines
References
- ↑ Limei Xu, Pradeep Kumar, S. V. Buldyrev, S.-H. Chen, P. H. Poole, F. Sciortino, and H. E. Stanley "Relation between the Widom line and the dynamic crossover in systems with a liquid–liquid phase transition", PNAS 102 pp. 16558-16562 (2005)
- ↑ H. E. Stanley, P. Kumar, G. Franzese, L. Xu, Z. Yan, M. G. Mazza, S. V. Buldyrev, S.-H. Chen and F. Mallamace "Liquid polyamorphism: Possible relation to the anomalous behaviour of water", European Physical Journal - Special Topics 161 pp. 1-17 (2008)
- ↑ Sergey V. Buldyrev "Water wisdom and Widom", Boston University Research Briefs December 6 (2005)
- ↑ V. V. Brazhkin, Yu. D. Fomin, A. G. Lyapin, V. N. Ryzhov, and E. N. Tsiok "Widom Line for the Liquid–Gas Transition in Lennard-Jones System", Journal of Physical Chemistry B Article ASAP (2011)
- Related reading
- G. G. Simeoni, T. Bryk, F. A. Gorelli, M. Krisch, G. Ruocco, M. Santoro, and T. Scopigno "The Widom line as the crossover between liquid-like and gas-like behaviour in supercritical fluids", Nature Physics 6 pp. 503-507 (2010)
- Giancarlo Franzese and H. Eugene Stanley "The Widom line of supercooled water", Journal of Physics: Condensed Matter 19 205126 (2007)