Phase transitions: Difference between revisions
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A '''phase transition''' occurs at points on the [[Phase diagrams | phase diagram]] where the [[Helmholtz energy function]] is a singular function of the thermodynamic variables within it | |||
<ref>[http://dx.doi.org/10.1007/s10955-009-9814-1 Leo P. Kadanoff "More is the Same; Phase Transitions and Mean Field Theories", Journal of Statistical Physics '''137''' pp. 777-797 (2009)]</ref>. | |||
The following is (an incomplete) list of phase transitions. The change from one state to another is usually monitored by some sort of [[order parameters | order parameter]]. | |||
*[[1-dimensional phase transitions]] | *[[1-dimensional phase transitions]] | ||
*[[Disordered hyperuniform phase]] | |||
*[[First-order transitions]] | *[[First-order transitions]] | ||
*[[Gardner phase transition]] | |||
*[[Gas-liquid phase transitions]] | *[[Gas-liquid phase transitions]] | ||
*[[Glass transition]] | |||
*[[Isotropic-nematic phase transition]] | *[[Isotropic-nematic phase transition]] | ||
*[[Jamming transition]] | |||
*[[Kosterlitz-Thouless transition]] | *[[Kosterlitz-Thouless transition]] | ||
*[[Landau theory of second-order phase transitions]] | *[[Landau theory of second-order phase transitions]] | ||
*[[Liquid-liquid phase transitions]] | *[[Liquid-liquid phase transitions]] | ||
*[[Martensitic phase transitions]] | |||
*[[Nematic-smectic phase transition]] | |||
*[[Nonequilibrium phase transitions]] | |||
*[[Order-disorder transitions]] | *[[Order-disorder transitions]] | ||
*[[Quantum phase transitions]] | *[[Quantum phase transitions]] | ||
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*[[Topological phase transitions]] | *[[Topological phase transitions]] | ||
*[[Gas-liquid phase transitions | Vapour-liquid phase transitions]] | *[[Gas-liquid phase transitions | Vapour-liquid phase transitions]] | ||
'''Other transitions''' | |||
*[[Coil-globule transition]] | |||
*[[Helix-coil transition]] | |||
==See also== | ==See also== | ||
*[[Computation of phase equilibria]] | *[[Computation of phase equilibria]] | ||
==Recommended reading | ==References== | ||
<references/> | |||
'''Recommended reading''' | |||
*Paul Ehrenfest "Phase conversions in a general and enhanced sense, classified according to the specific singularities of the thermodynamic potential", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''36''' pp. 153-157 (1933) | |||
*[http://www.oup.com/uk/catalogue/?ci=9780195053166 H. Eugene Stanley "Introduction to Phase Transitions and Critical Phenomena", Oxford University Press (1988)] | *[http://www.oup.com/uk/catalogue/?ci=9780195053166 H. Eugene Stanley "Introduction to Phase Transitions and Critical Phenomena", Oxford University Press (1988)] | ||
*[http://www.oup.com/uk/catalogue/?ci=9780198517306 J. M. Yeomans "Statistical Mechanics of Phase Transitions", Oxford University Press (1992)] | *[http://www.oup.com/uk/catalogue/?ci=9780198517306 J. M. Yeomans "Statistical Mechanics of Phase Transitions", Oxford University Press (1992)] | ||
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*[http://dx.doi.org/10.1070/PU1999v042n06ABEH000543 Georgii A. Martynov "The problem of phase transitions in statistical mechanics", Physics-Uspekhi '''42''' pp. 517-543 (1999)] | *[http://dx.doi.org/10.1070/PU1999v042n06ABEH000543 Georgii A. Martynov "The problem of phase transitions in statistical mechanics", Physics-Uspekhi '''42''' pp. 517-543 (1999)] | ||
*[http://www.nature.com/nature/journal/v402/n6761supp/full/402c73a0.html Philip Ball "Transitions still to be made", Nature '''402''' C73-C76 (1999)] | *[http://www.nature.com/nature/journal/v402/n6761supp/full/402c73a0.html Philip Ball "Transitions still to be made", Nature '''402''' C73-C76 (1999)] | ||
* [[Hagen Kleinert|H. Kleinert]] and V. Schulte-Frohlinde, ''Critical Properties of φ<sup>4</sup>-Theories'', [http://www.worldscibooks.com/physics/4733.html World Scientific (Singapore, 2001)]; Paperback ISBN 981-02-4659-5 (Read online at [http://www.physik.fu-berlin.de/~kleinert/b8])'' | |||
[[category: phase transitions]] | [[category: phase transitions]] | ||
*[http://arxiv.org/abs/1208.3377 R. Ni "Entropy-Driven Phase Transitions in Colloidal Systems", PhD Thesis, Utrecht University (2012)] | |||
*[http://dx.doi.org/10.1063/1.4927414 T. Frolov and Y. Mishin "Phases, phase equilibria, and phase rules in low-dimensional systems", Journal of Chemical Physics '''143''' 044706 (2015)] | |||
Latest revision as of 15:51, 22 November 2016
A phase transition occurs at points on the phase diagram where the Helmholtz energy function is a singular function of the thermodynamic variables within it [1]. The following is (an incomplete) list of phase transitions. The change from one state to another is usually monitored by some sort of order parameter.
- 1-dimensional phase transitions
- Disordered hyperuniform phase
- First-order transitions
- Gardner phase transition
- Gas-liquid phase transitions
- Glass transition
- Isotropic-nematic phase transition
- Jamming transition
- Kosterlitz-Thouless transition
- Landau theory of second-order phase transitions
- Liquid-liquid phase transitions
- Martensitic phase transitions
- Nematic-smectic phase transition
- Nonequilibrium phase transitions
- Order-disorder transitions
- Quantum phase transitions
- Second-order transitions
- Solid-liquid phase transitions
- Topological phase transitions
- Vapour-liquid phase transitions
Other transitions
See also[edit]
References[edit]
Recommended reading
- Paul Ehrenfest "Phase conversions in a general and enhanced sense, classified according to the specific singularities of the thermodynamic potential", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen 36 pp. 153-157 (1933)
- H. Eugene Stanley "Introduction to Phase Transitions and Critical Phenomena", Oxford University Press (1988)
- J. M. Yeomans "Statistical Mechanics of Phase Transitions", Oxford University Press (1992)
- Benjamin Widom "Theory of Phase Equilibrium", Journal of Physical Chemistry 100 pp 13190-13199 (1996)
- Georgii A. Martynov "The problem of phase transitions in statistical mechanics", Physics-Uspekhi 42 pp. 517-543 (1999)
- Philip Ball "Transitions still to be made", Nature 402 C73-C76 (1999)
- H. Kleinert and V. Schulte-Frohlinde, Critical Properties of φ4-Theories, World Scientific (Singapore, 2001); Paperback ISBN 981-02-4659-5 (Read online at [1])
- R. Ni "Entropy-Driven Phase Transitions in Colloidal Systems", PhD Thesis, Utrecht University (2012)
- T. Frolov and Y. Mishin "Phases, phase equilibria, and phase rules in low-dimensional systems", Journal of Chemical Physics 143 044706 (2015)