Dynamical Plane Rotator Model. I. Derivation of Hamiltonian and Molecular Dynamics

• Takahashi Minoru

  Institute for Solid State Physics, University of Tokyo

抄録

It is shown that the motion of the plane rotator model should be described by a set of equations<BR>(Remark: Graphics omitted.), i=1, 2, ···, N,<BR>and that the Hamiltonian should be<BR>(Remark: Graphics omitted.).<BR>To this Hamiltonian one can apply the method of molecular dynamics. For the case of the nearest neighbor interaction, energy-temperature curve is calculated for one, two and three dimensions. In one dimension our result agrees well with the exact solution. In two dimension a sharp peak of specific heat is found at T∼1.1 J⁄k. In three dimension a singularity is observed at T∼2.2 J⁄k.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 48 (3), 746-750, 1980

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390282679160921216
• NII論文ID: 210000088696
• NII論文ID: 130003896291
• DOI: 10.1143/jpsj.48.746
• BIBCODE: 1980JPSJ...48..746T
• COI: 1:CAS:528:DyaL3cXitVertLo%3D
• ISSN: 13474073
• ISSN: 00319015
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.48.746
• 本文言語コード: en
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