Abstract
Experimental evidence for the existence of strictly higher-order phase transitions (of order three or above in the Ehrenfest sense) is tenuous at best. However, there is no known physical reason why such transitions should not exist in nature. Here, higher-order transitions characterized by both discontinuities and divergences are analysed through the medium of partition function zeros. Properties of the distributions of zeros are derived, certain scaling relations are recovered, and new ones are presented.
Original language | English |
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Pages (from-to) | 319–328 |
Journal | Nuclear Physics B |
Volume | 736 |
Issue number | 3 |
DOIs | |
Publication status | Published - 27 Feb 2006 |
Bibliographical note
The full text is also available from: http://de.arxiv.org/abs/cond-mat/0512352NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nuclear Physics B, [736, 3, 2006] DOI: 10.1016/j.nuclphysb.2005.12.013.
© 2006, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/