Dynamical properties of potts model with invisible states

Shu Tanaka, Ryo Tamura

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We study dynamic behavior of Potts model with invisible states near the first-order phase transition temperature. This model is regarded as a standard model to analyse nature of phase transition. We can control the energy barrier between the ordered state and disordered state without changing the symmetry which breaks at the transition point. We focus on melting process starting from the perfect ordered state. We calculate time-dependency of the order parameter, density of invisible state, and internal energy. All of them show two-step relaxation behavior. We also analyze the relationship between the characteristic melting time and characteristic scale of the energy barrier by changing the number of invisible states. We find that characteristic melting time increases as the energy barrier enlarges in this model. This model is regarded as a fundamental model to analyze dynamic behavior near the first-order phase transition point.

Original languageEnglish
Article number012025
JournalJournal of Physics: Conference Series
Volume320
DOIs
Publication statusPublished - 2011
Externally publishedYes

Fingerprint

melting
transition points
internal energy
energy
transition temperature
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Dynamical properties of potts model with invisible states. / Tanaka, Shu; Tamura, Ryo.

In: Journal of Physics: Conference Series, Vol. 320, 012025, 2011.

Research output: Contribution to journalArticle

@article{6f7e9035fdb84756932cd316afbbf3e4,
title = "Dynamical properties of potts model with invisible states",
abstract = "We study dynamic behavior of Potts model with invisible states near the first-order phase transition temperature. This model is regarded as a standard model to analyse nature of phase transition. We can control the energy barrier between the ordered state and disordered state without changing the symmetry which breaks at the transition point. We focus on melting process starting from the perfect ordered state. We calculate time-dependency of the order parameter, density of invisible state, and internal energy. All of them show two-step relaxation behavior. We also analyze the relationship between the characteristic melting time and characteristic scale of the energy barrier by changing the number of invisible states. We find that characteristic melting time increases as the energy barrier enlarges in this model. This model is regarded as a fundamental model to analyze dynamic behavior near the first-order phase transition point.",
author = "Shu Tanaka and Ryo Tamura",
year = "2011",
doi = "10.1088/1742-6596/320/1/012025",
language = "English",
volume = "320",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Dynamical properties of potts model with invisible states

AU - Tanaka, Shu

AU - Tamura, Ryo

PY - 2011

Y1 - 2011

N2 - We study dynamic behavior of Potts model with invisible states near the first-order phase transition temperature. This model is regarded as a standard model to analyse nature of phase transition. We can control the energy barrier between the ordered state and disordered state without changing the symmetry which breaks at the transition point. We focus on melting process starting from the perfect ordered state. We calculate time-dependency of the order parameter, density of invisible state, and internal energy. All of them show two-step relaxation behavior. We also analyze the relationship between the characteristic melting time and characteristic scale of the energy barrier by changing the number of invisible states. We find that characteristic melting time increases as the energy barrier enlarges in this model. This model is regarded as a fundamental model to analyze dynamic behavior near the first-order phase transition point.

AB - We study dynamic behavior of Potts model with invisible states near the first-order phase transition temperature. This model is regarded as a standard model to analyse nature of phase transition. We can control the energy barrier between the ordered state and disordered state without changing the symmetry which breaks at the transition point. We focus on melting process starting from the perfect ordered state. We calculate time-dependency of the order parameter, density of invisible state, and internal energy. All of them show two-step relaxation behavior. We also analyze the relationship between the characteristic melting time and characteristic scale of the energy barrier by changing the number of invisible states. We find that characteristic melting time increases as the energy barrier enlarges in this model. This model is regarded as a fundamental model to analyze dynamic behavior near the first-order phase transition point.

UR - http://www.scopus.com/inward/record.url?scp=81055144303&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=81055144303&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/320/1/012025

DO - 10.1088/1742-6596/320/1/012025

M3 - Article

VL - 320

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

M1 - 012025

ER -