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>
[[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]].
 
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/>
;Related reading
;Related reading
*[http://dx.doi.org/10.1038/nphys1683  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)]
*[http://dx.doi.org/10.1038/nphys1683  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)]
*[http://dx.doi.org/10.1088/0953-8984/19/20/205126  Giancarlo Franzese and H. Eugene Stanley "The Widom line of supercooled water",  Journal of Physics: Condensed Matter '''19''' 205126 (2007)]
*[http://dx.doi.org/10.1063/1.4930542  D. Corradini, M. Rovere and P. Gallo "The Widom line and dynamical crossover in supercritical water: Popular water models versus experiments", Journal of Chemical Physics 143, 114502 (2015)]
*[https://doi.org/10.1038/s41467-024-47961-7 U. Ranieri, F. Formisano, F. A. Gorelli, M. Santoro, M. M. Koza, A. De Francesco, L. E. Bove "Crossover from gas-like to liquid-like molecular diffusion in a simple supercritical fluid", Nature Communications 15, 4142 (2024)]


[[category: statistical mechanics]]
[[category: statistical mechanics]]

Latest revision as of 21:20, 8 July 2024

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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]

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[edit]

References[edit]

  1. ↑ 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)
  2. ↑ 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)
  3. ↑ Sergey V. Buldyrev "Water wisdom and Widom", Boston University Research Briefs December 6 (2005)
  4. ↑ 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
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