### Abstract

Relaxation functions of the spin-glass correlation length are investigated in the three-dimensional ±J XY model. The algebraic divergence is observed at the spin-glass transition temperature, T_{sg} ≃ 0.45. The finite-time scaling analysis provides results consistent with our previous scaling analysis of the spin-glass susceptibility. The relaxation functions in the low-temperature phase exhibit the same behavior with the Ising spin glass: the exponent is linearly dependent on the temperature as 1/z(T) ≃ 0.21T/T_{sg}. Relaxation functions of the chiral-glass correlation length do not exhibit such behavior as the spin-glass ones do. All the findings suggest that the transition is driven by the spin degrees of freedom.

Original language | English |
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Pages (from-to) | 42-45 |

Number of pages | 4 |

Journal | Progress of Theoretical Physics Supplement |

Volume | 157 |

Publication status | Published - 2005 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics Supplement*,

*157*, 42-45.

**Nonequilibrium relaxation analysis of the spin-glass correlation length.** / Nakamura, Tota; Yamamoto, Takeo.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, vol. 157, pp. 42-45.

}

TY - JOUR

T1 - Nonequilibrium relaxation analysis of the spin-glass correlation length

AU - Nakamura, Tota

AU - Yamamoto, Takeo

PY - 2005

Y1 - 2005

N2 - Relaxation functions of the spin-glass correlation length are investigated in the three-dimensional ±J XY model. The algebraic divergence is observed at the spin-glass transition temperature, Tsg ≃ 0.45. The finite-time scaling analysis provides results consistent with our previous scaling analysis of the spin-glass susceptibility. The relaxation functions in the low-temperature phase exhibit the same behavior with the Ising spin glass: the exponent is linearly dependent on the temperature as 1/z(T) ≃ 0.21T/Tsg. Relaxation functions of the chiral-glass correlation length do not exhibit such behavior as the spin-glass ones do. All the findings suggest that the transition is driven by the spin degrees of freedom.

AB - Relaxation functions of the spin-glass correlation length are investigated in the three-dimensional ±J XY model. The algebraic divergence is observed at the spin-glass transition temperature, Tsg ≃ 0.45. The finite-time scaling analysis provides results consistent with our previous scaling analysis of the spin-glass susceptibility. The relaxation functions in the low-temperature phase exhibit the same behavior with the Ising spin glass: the exponent is linearly dependent on the temperature as 1/z(T) ≃ 0.21T/Tsg. Relaxation functions of the chiral-glass correlation length do not exhibit such behavior as the spin-glass ones do. All the findings suggest that the transition is driven by the spin degrees of freedom.

UR - http://www.scopus.com/inward/record.url?scp=22144492613&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22144492613&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:22144492613

VL - 157

SP - 42

EP - 45

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

ER -