Properties of Higher-Order Phase Transitions

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.

12 pages. To be published in Nuclear Physics B

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Cited by in corpus (13)

• Partition function zeros for the Ising model on complete graphs and on annealed scale-free networks
• Continuous Hawking-Page transitions in Einstein-scalar gravity
• Black Holes with Primary Hair in gauged N=8 Supergravity
• A Look Back at the Ehrenfest Classification. Translation and Commentary of Ehrenfest's 1933 paper introducing the notion of phase transitions of different order
• Density of Yang-Lee zeros in the thermodynamic limit from tensor network methods
• Detecting scaling in phase transitions on the truncated Heisenberg algebra
• Critical exponents for higher order phase transitions: Landau theory and RG flow
• Critical field-exponents for secure message-passing in modular networks
• Condensation of Lee-Yang zeros in scalar field theory
• Partition function zeros of zeta-urns
• On analyticity with respect to the replica number in random energy models II: zeros on the complex plane
• Yang-Lee zeros for real-space condensation
• Partition Function Zeros of Paths and Normalization Zeros of ASEPS