Dynamics in the anisotropic XY model driven by dichotomous Markov noise

Katsuya Ouchi, Takehiko Horita, Naofumi Tsukamoto, Naoya Fujiwara, Hirokazu Fujisaka

Research output: Contribution to journalArticlepeer-review


The statistics of a subcritical spatially homogeneous XY spin system driven by dichotomous Markov noise as an external field is investigated, particularly focusing on the switching process of the sign of the order parameter parallel to the external field. The switching process is classified in two types, which are called the Bloch-type switching and the Ising-type switching, according to whether or not the order parameter perpendicular to the external field takes finite value at the switching. The phase diagram for the onset of the switching process with respect to the amplitude of the external field and the anisotropy parameter of the system is constructed. It is revealed that the power spectral density I (ω) for the time series of the order parameter in the case of the Bloch-type switching is proportional to ωâ 3â•2 in an intermediate region of ω. Furthermore, the scaling function of I (ω) near the onset point of the Bloch-type switching is derived.

Original languageEnglish
Article number021139
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
Publication statusPublished - 2008 Aug 28
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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