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A '''phase transition''' occurs at points on the | 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 | ||
<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>. | <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]]. | 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]] | ||
*[[First-order transitions]] | *[[First-order transitions]] | ||
*[[Gas-liquid phase transitions]] | *[[Gas-liquid phase transitions]] | ||
*[[Isotropic-nematic phase transition]] | *[[Isotropic-nematic phase transition]] | ||
*[[Kosterlitz-Thouless transition]] | *[[Kosterlitz-Thouless transition]] | ||
*[[Landau theory of second-order phase transitions]] | *[[Landau theory of second-order phase transitions]] | ||
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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)] | ||
[[category: phase transitions]] | [[category: phase transitions]] | ||