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]]
*[[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]]
*[[Quantum phase transitions]]
*[[Quantum phase transitions]]
*[[Second-order transitions]]
*[[Second-order transitions]]
*[[Solid-liquid phase transitions]]
*[[Solid-liquid phase transitions]]
*[[Topological phase transitions]]
*[[Topological phase transitions]]
==Recommended reading==
*[[Gas-liquid phase transitions | Vapour-liquid phase transitions]]
'''Other transitions'''
*[[Coil-globule transition]]
*[[Helix-coil transition]]
==See also==
*[[Computation of phase equilibria]]
==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://dx.doi.org/10.1021/jp9536460 Benjamin Widom "Theory of Phase Equilibrium", Journal of Physical Chemistry '''100''' pp 13190-13199 (1996)]
*[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.

Other transitions

See also[edit]

References[edit]

Recommended reading