A 3-dimensional Z
                        3
                         symmetric model: Correlation lengths at a first order phase transition

Sourendu Gupta; A. Irbäck; B. Petersson; R. V. Gavai; F. Karsch

doi:10.1016/0920-5632(90)90237-O

A 3-dimensional Z ₃ symmetric model: Correlation lengths at a first order phase transition

Sourendu Gupta, A. Irbäck, B. Petersson, R. V. Gavai, F. Karsch

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

We present a high statistics Monte Carlo investigation of a 3-dimensional Z ₃ symmetric model, which is related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that this model exhibits a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with cold walls in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length develops a discontinuity at the critical point in the infinite volume limit.

Original language	English
Title of host publication	Nuclear Physics B (Proc. Suppl.)
Pages	199-203
Number of pages	5
Volume	17
DOIs	https://doi.org/10.1016/0920-5632(90)90237-O
Publication status	Published - 1990 Jan 1
Externally published	Yes

Publication series

Name	Nuclear Physics B (Proceedings Supplements)
Publisher	Elsevier
ISSN (Print)	0920-5632

Subject classification (UKÄ)

Subatomic Physics

Access to Document

10.1016/0920-5632(90)90237-O

Cite this

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title = "A 3-dimensional Z 3 symmetric model: Correlation lengths at a first order phase transition",

abstract = " We present a high statistics Monte Carlo investigation of a 3-dimensional Z 3 symmetric model, which is related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that this model exhibits a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with cold walls in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length develops a discontinuity at the critical point in the infinite volume limit.",

author = "Sourendu Gupta and A. Irb{\"a}ck and B. Petersson and Gavai, {R. V.} and F. Karsch",

year = "1990",

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A 3-dimensional Z ₃ symmetric model: Correlation lengths at a first order phase transition. / Gupta, Sourendu; Irbäck, A.; Petersson, B. et al.
Nuclear Physics B (Proc. Suppl.). Vol. 17 1990. p. 199-203 (Nuclear Physics B (Proceedings Supplements)).

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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AU - Karsch, F.

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N2 - We present a high statistics Monte Carlo investigation of a 3-dimensional Z 3 symmetric model, which is related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that this model exhibits a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with cold walls in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length develops a discontinuity at the critical point in the infinite volume limit.

AB - We present a high statistics Monte Carlo investigation of a 3-dimensional Z 3 symmetric model, which is related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that this model exhibits a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with cold walls in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length develops a discontinuity at the critical point in the infinite volume limit.

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DO - 10.1016/0920-5632(90)90237-O

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BT - Nuclear Physics B (Proc. Suppl.)

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