Nonequilibrium relaxation analysis of the spin-glass correlation length

Tota Nakamura; Takeo Yamamoto

doi:10.1143/PTPS.157.42

Nonequilibrium relaxation analysis of the spin-glass correlation length

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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
Pages (from-to)	42-45
Number of pages	4
Journal	Progress of Theoretical Physics Supplement
Volume	157
DOIs	https://doi.org/10.1143/PTPS.157.42
Publication status	Published - 2005

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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title = "Nonequilibrium relaxation analysis of the spin-glass correlation length",

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, 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.",

author = "Tota Nakamura and Takeo Yamamoto",

year = "2005",

doi = "10.1143/PTPS.157.42",

language = "English",

volume = "157",

pages = "42--45",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

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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.

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JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

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Nonequilibrium relaxation analysis of the spin-glass correlation length

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