### Abstract

Results of a Monte Carlo simulation of the two-spin facilitated model proposed by Fredrickson and Andersen above the thermodynamic transition temperature without external field on the square lattice are presented. The model is a kinetic Ising model with a special constraint to its kinetic process and was designed to simulate viscous fluid. A time correlation function for uniform magnetization is analyzed using the idea of finite-size scaling and percolation length. For the system size that was simulated, our data fit into a scaling plot adopting the percolation length as a length scale, and we obtain the dynamical critical exponent z ∼ 4, which is different from the usual value z ∼ 2.

Original language | English |
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Pages (from-to) | 415-418 |

Number of pages | 4 |

Journal | Physics Letters A |

Volume | 118 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1986 Nov 10 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Monte carlo simulation of the two-spin facilitated model above the thermodynamic transition temperature.** / Nakanishi, Hiizu; Takano, Hiroshi.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 118, no. 8, pp. 415-418. https://doi.org/10.1016/0375-9601(86)90272-0

}

TY - JOUR

T1 - Monte carlo simulation of the two-spin facilitated model above the thermodynamic transition temperature

AU - Nakanishi, Hiizu

AU - Takano, Hiroshi

PY - 1986/11/10

Y1 - 1986/11/10

N2 - Results of a Monte Carlo simulation of the two-spin facilitated model proposed by Fredrickson and Andersen above the thermodynamic transition temperature without external field on the square lattice are presented. The model is a kinetic Ising model with a special constraint to its kinetic process and was designed to simulate viscous fluid. A time correlation function for uniform magnetization is analyzed using the idea of finite-size scaling and percolation length. For the system size that was simulated, our data fit into a scaling plot adopting the percolation length as a length scale, and we obtain the dynamical critical exponent z ∼ 4, which is different from the usual value z ∼ 2.

AB - Results of a Monte Carlo simulation of the two-spin facilitated model proposed by Fredrickson and Andersen above the thermodynamic transition temperature without external field on the square lattice are presented. The model is a kinetic Ising model with a special constraint to its kinetic process and was designed to simulate viscous fluid. A time correlation function for uniform magnetization is analyzed using the idea of finite-size scaling and percolation length. For the system size that was simulated, our data fit into a scaling plot adopting the percolation length as a length scale, and we obtain the dynamical critical exponent z ∼ 4, which is different from the usual value z ∼ 2.

UR - http://www.scopus.com/inward/record.url?scp=0242324750&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242324750&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(86)90272-0

DO - 10.1016/0375-9601(86)90272-0

M3 - Article

AN - SCOPUS:0242324750

VL - 118

SP - 415

EP - 418

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 8

ER -