MULTICANONICAL SIMULATION OF THE TWO-DIMENSIONAL 7-STATE POTTS MODEL

Using multicanonical Monte Carlo simulations, we have calculated the interface free energy between the coexisting ordered and disordered phase at the temperature driven first-order phase transition of the two-dimensional 7-state Potts model. Our result 2f3= 0.0241±0.0010 is about an order of magnitude smaller than other estimates in the recent literature. We discuss the differences in analysis and give a possible explanation for the discrepancy. Finally, we briefly mention similar investigations at the deconfining phase transition of SU(3) lattice gauge theory.

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Microcanonical evidence of a first-order phase transition in the four-dimensional U(1) lattice gauge theory

Physical Review E ◽

10.1103/physreve.54.5819 ◽

1996 ◽

Vol 54 (5) ◽

pp. 5819-5821 ◽

Cited By ~ 2

Author(s):

Eduardo Sánchez-Velasco

Keyword(s):

Phase Transition ◽

Gauge Theory ◽

Order Phase Transition ◽

Lattice Gauge Theory ◽

First Order ◽

Lattice Gauge ◽

First Order Phase Transition ◽

First Order Phase

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Absence of first-order phase transition in SU(5) lattice gauge theory with renormalization-group–improved action

Physical Review Letters ◽

10.1103/physrevlett.55.273 ◽

1985 ◽

Vol 55 (3) ◽

pp. 273-275 ◽

Cited By ~ 11

Author(s):

S. Itoh ◽

Y. Iwasaki ◽

T. Yoshié

Keyword(s):

Phase Transition ◽

Renormalization Group ◽

Gauge Theory ◽

Order Phase Transition ◽

Lattice Gauge Theory ◽

First Order ◽

Lattice Gauge ◽

First Order Phase Transition ◽

First Order Phase

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First-Order Phase Transition in Four-Dimensional SO(3) Lattice Gauge Theory

Physical Review Letters ◽

10.1103/physrevlett.47.9 ◽

1981 ◽

Vol 47 (1) ◽

pp. 9-11 ◽

Cited By ~ 89

Author(s):

J. Greensite ◽

B. Lautrup

Keyword(s):

Phase Transition ◽

Gauge Theory ◽

Order Phase Transition ◽

Lattice Gauge Theory ◽

First Order ◽

Lattice Gauge ◽

First Order Phase Transition ◽

First Order Phase

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FEPS3: A first order phase transition in a “two dimensional” antiferromagnet

Hyperfine Interactions ◽

10.1007/bf02147328 ◽

1983 ◽

Vol 16 (1-4) ◽

pp. 625-628 ◽

Cited By ~ 3

Author(s):

S. Bjarman ◽

P. Jernberg ◽

R. Wäppling

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Two Dimensional ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Influence of dilution on the strong first-order phase transition of the 3D 4-state Potts model

Computer Physics Communications ◽

10.1016/s0010-4655(02)00320-x ◽

2002 ◽

Vol 147 (1-2) ◽

pp. 431-434 ◽

Cited By ~ 6

Author(s):

C. Chatelain ◽

P.-E. Berche ◽

B. Berche ◽

W. Janke

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Potts Model ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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FIRST ORDER PHASE TRANSITION OF THE Q-STATE POTTS MODEL IN TWO DIMENSIONS

Non-Perturbative Methods and Lattice QCD ◽

10.1142/9789812811370_0024 ◽

2001 ◽

Author(s):

H. ARISUE ◽

K. TABATA

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Potts Model ◽

Two Dimensions ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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SOFTENING OF PHASE TRANSITION BY RANDOM DISTRIBUTION OF BIMODAL-BONDS IN THE 2D 8-STATE POTTS MODEL

International Journal of Modern Physics C ◽

10.1142/s0129183199000759 ◽

1999 ◽

Vol 10 (05) ◽

pp. 961-966

Author(s):

FATIH YAŞAR ◽

YIĞIT GÜNDÜÇ ◽

TARIK ÇELIK

Keyword(s):

Phase Transition ◽

Potts Model ◽

Random Distribution ◽

Finite Size ◽

Threshold Value ◽

Two Dimensions ◽

First Order ◽

Size Dependent ◽

First Order Phase Transition ◽

First Order Phase

We investigated the influence of the distribution of bimodal bonds on phase transition in 8-state Potts model in two dimensions. We show that there is a finite size dependent threshold value of the introduced quenched randomness in the bond distribution for rounding the first-order phase transition.

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