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Physical Review A

Existence of phase transitions in the Ornstein-Zernike theory

Moorad Alexanian

Published Oct 1, 1975• 6 citations
Publisher

Abstract

It is shown that if the critical-point exponent η vanishes, then phase transitions can exist only in greater than two space dimensions.Received 5 February 1975DOI:https://doi.org/10.1103/PhysRevA.12.1609©1975 American Physical Society

DOI
10.1103/physreva.12.1609

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Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)•Dec 14, 2005•1 citation
It is shown that if the critical-point exponent η vanishes, then phase transitions can exist only in greater than two space dimensions.Received 5 February 1975DOI:https://doi.org/10.1103/PhysRevA.12.1609©1975 American Physical Society
There is only limited experimental evidence for the existence in nature of phase transitions of Ehrenfest order greater than two.However, there is no physical reason for their non-existence, and such transitions certainly exist in a number of theoretical models in statistical physics and lattice field theory.Here, higher-order transitions are analysed through the medium of partition function zeros.Results concerning the distributions of zeros are derived as are scaling relations between some of the critical exponents.