Ordering process in the kinetic Ising model on the honeycomb lattice

Hiroshi Takano, Seiji Miyashita

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The ordering process after quenching from infinite temperature is studied in the kinetic Ising model on the honeycomb lattice below the critical temperature by means of Monte Carlo simulations. Because of the presence of metastable droplets on the honeycomb lattice, the time scale of ordering becomes very long at low temperatures. Due to the metastability, the time evolution of magnetization per site, m(t), seems to be scaled by a characteristic time scale exp(2K)L-2t for large L. Here, K, L, and t denote the nearest-neighbor coupling divided by the temperature, the linear dimension of the system, and the time after the quenching, respectively.

Original languageEnglish
Pages (from-to)7221-7226
Number of pages6
JournalPhysical Review B
Volume48
Issue number10
DOIs
Publication statusPublished - 1993

Fingerprint

Ising model
Kinetics
kinetics
Quenching
quenching
Temperature
metastable state
Magnetization
critical temperature
magnetization
temperature
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Ordering process in the kinetic Ising model on the honeycomb lattice. / Takano, Hiroshi; Miyashita, Seiji.

In: Physical Review B, Vol. 48, No. 10, 1993, p. 7221-7226.

Research output: Contribution to journalArticle

Takano, Hiroshi ; Miyashita, Seiji. / Ordering process in the kinetic Ising model on the honeycomb lattice. In: Physical Review B. 1993 ; Vol. 48, No. 10. pp. 7221-7226.
@article{7cbc8dd4ce57406689a29920a753d039,
title = "Ordering process in the kinetic Ising model on the honeycomb lattice",
abstract = "The ordering process after quenching from infinite temperature is studied in the kinetic Ising model on the honeycomb lattice below the critical temperature by means of Monte Carlo simulations. Because of the presence of metastable droplets on the honeycomb lattice, the time scale of ordering becomes very long at low temperatures. Due to the metastability, the time evolution of magnetization per site, m(t), seems to be scaled by a characteristic time scale exp(2K)L-2t for large L. Here, K, L, and t denote the nearest-neighbor coupling divided by the temperature, the linear dimension of the system, and the time after the quenching, respectively.",
author = "Hiroshi Takano and Seiji Miyashita",
year = "1993",
doi = "10.1103/PhysRevB.48.7221",
language = "English",
volume = "48",
pages = "7221--7226",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "10",

}

TY - JOUR

T1 - Ordering process in the kinetic Ising model on the honeycomb lattice

AU - Takano, Hiroshi

AU - Miyashita, Seiji

PY - 1993

Y1 - 1993

N2 - The ordering process after quenching from infinite temperature is studied in the kinetic Ising model on the honeycomb lattice below the critical temperature by means of Monte Carlo simulations. Because of the presence of metastable droplets on the honeycomb lattice, the time scale of ordering becomes very long at low temperatures. Due to the metastability, the time evolution of magnetization per site, m(t), seems to be scaled by a characteristic time scale exp(2K)L-2t for large L. Here, K, L, and t denote the nearest-neighbor coupling divided by the temperature, the linear dimension of the system, and the time after the quenching, respectively.

AB - The ordering process after quenching from infinite temperature is studied in the kinetic Ising model on the honeycomb lattice below the critical temperature by means of Monte Carlo simulations. Because of the presence of metastable droplets on the honeycomb lattice, the time scale of ordering becomes very long at low temperatures. Due to the metastability, the time evolution of magnetization per site, m(t), seems to be scaled by a characteristic time scale exp(2K)L-2t for large L. Here, K, L, and t denote the nearest-neighbor coupling divided by the temperature, the linear dimension of the system, and the time after the quenching, respectively.

UR - http://www.scopus.com/inward/record.url?scp=6044232797&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6044232797&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.48.7221

DO - 10.1103/PhysRevB.48.7221

M3 - Article

AN - SCOPUS:6044232797

VL - 48

SP - 7221

EP - 7226

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 10

ER -