Correlation transitions in the Ising chain with competing short-range and long-range mirror interactions

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2 Citations (Scopus)

Abstract

We present exact four-spin- and string-correlation functions derived for an Ising chain with competing geometrical nearest-neighbor short-range and mirror-image-type long-range interactions. Unusual T≠0 correlation effects were found, indicating qualitative changes in the behavior of the system in different T domains. These domains are not separated by a sharp, traditional phase transition, but are delimited by a temperature Ti at which the exact connected four-spin-correlation function vanishes. At the same Ti the pair-correlation function changes its character: The functional form of the correlation length and the nature of the long-range decay are modified.

Original languageEnglish
Pages (from-to)5403-5409
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number5 SUPPL. A
Publication statusPublished - 1998

Fingerprint

Ising
Correlation Function
Mirror
mirrors
Pair Correlation Function
Long-range Interactions
Correlation Length
Interaction
Range of data
Vanish
Nearest Neighbor
Phase Transition
Strings
interactions
Decay
strings
decay
Form
Character
temperature

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

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abstract = "We present exact four-spin- and string-correlation functions derived for an Ising chain with competing geometrical nearest-neighbor short-range and mirror-image-type long-range interactions. Unusual T≠0 correlation effects were found, indicating qualitative changes in the behavior of the system in different T domains. These domains are not separated by a sharp, traditional phase transition, but are delimited by a temperature Ti at which the exact connected four-spin-correlation function vanishes. At the same Ti the pair-correlation function changes its character: The functional form of the correlation length and the nature of the long-range decay are modified.",
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AU - Gulácsi, Z.

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AB - We present exact four-spin- and string-correlation functions derived for an Ising chain with competing geometrical nearest-neighbor short-range and mirror-image-type long-range interactions. Unusual T≠0 correlation effects were found, indicating qualitative changes in the behavior of the system in different T domains. These domains are not separated by a sharp, traditional phase transition, but are delimited by a temperature Ti at which the exact connected four-spin-correlation function vanishes. At the same Ti the pair-correlation function changes its character: The functional form of the correlation length and the nature of the long-range decay are modified.

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