Lambda transition: Difference between revisions
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=== Journal articles === |
=== Journal articles === |
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* {{cite journal | last=Helfrich | first=W. | title=Defect model of the smectic A-nematic phase transition | journal=Journal de Physique | publisher=EDP Sciences | volume=39 | issue=11 | year=1978 | issn=0302-0738 | doi=10.1051/jphys:0197800390110119900 | pages=1199–1208}} |
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* Helfrich W. J. Phys. (Paris) 39 (1978) 1199. |
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* {{cite journal | last=Nelson | first=David R. | last2=Toner | first2=John | title=Bond-orientational order, dislocation loops, and melting of solids and smectic-Aliquid crystals | journal=Physical Review B | publisher=American Physical Society (APS) | volume=24 | issue=1 | date=1 June 1981 | issn=0163-1829 | doi=10.1103/physrevb.24.363 | pages=363–387}} |
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* Nelson D. R. and Toner J. Phys. Rev. B 24 (1981) 363. |
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* {{cite journal | last=Dasgupta | first=C. | last2=Halperin | first2=B. I. | title=Phase Transition in a Lattice Model of Superconductivity | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=47 | issue=21 | date=23 November 1981 | issn=0031-9007 | doi=10.1103/physrevlett.47.1556 | pages=1556–1560}} |
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* Dagupta C. and Halperin B. I. Phys. Rev. Lett.47 (1981) 1556. |
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* {{cite journal | last=Williams | first=Gary A. | title=Vortex-ring model of the superfluidλtransition | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=59 | issue=17 | date=26 October 1987 | issn=0031-9007 | doi=10.1103/physrevlett.59.1926 | pages=1926–1929}} |
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* Williams G. A. Phys. Rev. Lett. 59 (1987) 1926. |
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* {{cite journal | last=Onsager | first=L. | title=Statistical hydrodynamics | journal=Il Nuovo Cimento | publisher=Springer Science and Business Media LLC | volume=6 | issue=S2 | year=1949 | issn=0029-6341 | doi=10.1007/bf02780991 | pages=279–287}} |
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* Onsager L. Nuovo Cimento Suppl. 6 (1949) 279. |
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* {{cite journal | last=de Gennes | first=P.G. | title=An analogy between superconductors and smectics A | journal=Solid State Communications | publisher=Elsevier BV | volume=10 | issue=9 | year=1972 | issn=0038-1098 | doi=10.1016/0038-1098(72)90186-x | pages=753–756}} |
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* de Gennes P.-G. Sol. State Commun. 10 (1972) 753. |
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* {{cite journal|last=Abrikosov |first=A. A. |journal=Zhurnal Éksperimental'noĭ i Teoreticheskoĭ Fiziki|volume=32|issue=6|year=1957|page=1442|language=ru|title=[unknown title]}} Translated as: {{cite journal|last=Abrikosov |first=A. A. |journal=Soviet Physics JETP |volume=5|issue=6 |year=1957 |page=1174|url=http://jetp.ac.ru/cgi-bin/e/index/e/5/6/p1174?a=list|title=On the Magnetic Properties of Superconductors of the Second Group}} |
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* Abrikosov A. A. Zh. Eksp. Teor. Fiz. 32 (1957) 1442. |
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* {{cite journal | last=Renn | first=S. R. | last2=Lubensky | first2=T. C. | title=Abrikosov dislocation lattice in a model of the cholesteric–to–smectic-Atransition | journal=Physical Review A | publisher=American Physical Society (APS) | volume=38 | issue=4 | date=1 July 1988 | issn=0556-2791 | doi=10.1103/physreva.38.2132 | pages=2132–2147}} |
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* Abrikosov A. A. Sov. Phys. JETP 5 (1957) 1174. |
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* Renn S. and Lubensky T. C. Phys. Rev. A 38 (1988) 2132. |
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[[Category:Condensed matter physics]] |
[[Category:Condensed matter physics]] |
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Revision as of 03:49, 11 August 2019
The λ (lambda) universality class is a group in condensed matter physics. It regroups several systems possessing strong analogies, namely, superfluids, superconductors and smectics (liquid crystals). All these systems are expected to belong to the same universality class for the thermodynamic critical properties of the phase transition. While these systems are quite different at the first glance, they all are described by similar formalisms and their typical phase diagrams are identical.
See also
References
Books
- Chaikin P. M. and Lubensky T. C. Principles of Condensed Matter Physics (Cambridge University Press, Cambridge) 1995, sect.9.
- Feynman R. P. Progress in Low Temperature Physics Vol.1, edited by C. Gorter (North Holland, Amsterdam) 1955.
Journal articles
- Helfrich, W. (1978). "Defect model of the smectic A-nematic phase transition". Journal de Physique. 39 (11). EDP Sciences: 1199–1208. doi:10.1051/jphys:0197800390110119900. ISSN 0302-0738.
- Nelson, David R.; Toner, John (1 June 1981). "Bond-orientational order, dislocation loops, and melting of solids and smectic-Aliquid crystals". Physical Review B. 24 (1). American Physical Society (APS): 363–387. doi:10.1103/physrevb.24.363. ISSN 0163-1829.
- Dasgupta, C.; Halperin, B. I. (23 November 1981). "Phase Transition in a Lattice Model of Superconductivity". Physical Review Letters. 47 (21). American Physical Society (APS): 1556–1560. doi:10.1103/physrevlett.47.1556. ISSN 0031-9007.
- Williams, Gary A. (26 October 1987). "Vortex-ring model of the superfluidλtransition". Physical Review Letters. 59 (17). American Physical Society (APS): 1926–1929. doi:10.1103/physrevlett.59.1926. ISSN 0031-9007.
- Onsager, L. (1949). "Statistical hydrodynamics". Il Nuovo Cimento. 6 (S2). Springer Science and Business Media LLC: 279–287. doi:10.1007/bf02780991. ISSN 0029-6341.
- de Gennes, P.G. (1972). "An analogy between superconductors and smectics A". Solid State Communications. 10 (9). Elsevier BV: 753–756. doi:10.1016/0038-1098(72)90186-x. ISSN 0038-1098.
- Abrikosov, A. A. (1957). "[unknown title]". Zhurnal Éksperimental'noĭ i Teoreticheskoĭ Fiziki (in Russian). 32 (6): 1442. Translated as: Abrikosov, A. A. (1957). "On the Magnetic Properties of Superconductors of the Second Group". Soviet Physics JETP. 5 (6): 1174.
- Renn, S. R.; Lubensky, T. C. (1 July 1988). "Abrikosov dislocation lattice in a model of the cholesteric–to–smectic-Atransition". Physical Review A. 38 (4). American Physical Society (APS): 2132–2147. doi:10.1103/physreva.38.2132. ISSN 0556-2791.