 A classification of phase diagrams by means of “Elementary” Catastrophe Theory (ECT) IIPhysica A: Statistical Mechanics and its Applications, 1979, vol. 99, issue 3, 513-544 Abstract: In a previous paper it has been shown that near every type of point μo in the field space, any GM stable C∞ unfolding Φ by appropriate diffeomorphic substitutions can be reduced to a GM standard form, i.e. an unfolding of functions, constructed from one or more simple polynomials. For μo being a critical point the result of the reduction is compared with the Landau theory. This is followed by a complete list, up to and including four fields, of phase diagrams, described by GM standard forms, with physical examples (including e.g. critical end points and tricritical points). Symmetries are also treated. Finally remarks are made on, among other things, the “double cusp” GM standard form and a one-to-one correspondence between types of points and QLS of PS, described by GM stable Φ's, around these points. Date: 1979 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:99:y:1979:i:3:p:513-544 DOI: 10.1016/0378-4371(79)90070-0 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.