Precise determination of the nonequilibrium tricritical point based on Lynden-Bell theory in the Hamiltonian mean-field model

• 小川, 駿

• Yamaguchi, Yoshiyuki

抄録

Existence of a nonequilibrium tricritical point has been revealed in the Hamiltonian mean-field model by a nonequilibrium statistical mechanics. This statistical mechanics gives a distribution function containing unknown parameters, and the parameters are determined by solving simultaneous equations depending on a given initial state. Due to difficulty in solving these equations, pointwise numerical detection of the tricritical point has been unavoidable on a plane characterizing a family of initial states. In order to look into the tricritical point, we expand the simultaneous equations with respect to the order parameter and reduce them to one algebraic equation. The tricritical point is precisely identified by analyzing coefficients of the reduced equation. Reentrance to an ordered phase in a high-energy region is revisited around the obtained tricritical point.

収録刊行物

• Physical Review E

  Physical Review E 84 (6), 2011-12

  American Physical Society (APS)

詳細情報

• CRID: 1050564285679724928
• NII論文ID: 120003779177
• NII書誌ID: AA11558033
• ISSN: 15393755
• ISSN: 24700053
• ISSN: 24700045
• HANDLE: 2433/152438
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
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  • CiNii Articles