Properties of Higher-Order Phase Transitions

Details Properties of Higher-Order Phase Transitions Properties of Higher-Order Phase Transitions

2005-12-15

arxiv.org/abs/cond-mat/0512352v1

Nucl. Phys. B 736 (2006) 319-328

Physics

Condensed Matter

Statistical Mechanics

12 pages. To be published in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2005.12.013

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.

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