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〈ノート〉多体問題とグリーン関数との関係の研究--グリーン関数と多体問題(23)量子統計力学(15)
https://kindai.repo.nii.ac.jp/records/7335
https://kindai.repo.nii.ac.jp/records/7335aa97e952-bce3-4ff2-9ec2-9800a1150c5e
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AN00063799-20111220-0173.pdf (1.0 MB)
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| Item type | ☆紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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| 公開日 | 2012-03-07 | |||||||||
| タイトル | ||||||||||
| タイトル | 〈ノート〉多体問題とグリーン関数との関係の研究--グリーン関数と多体問題(23)量子統計力学(15) | |||||||||
| その他（別言語等）のタイトル | ||||||||||
| その他のタイトル | 〈Scientific Report〉Studies of relations between many-body problems and Green functions: Green function and many-body problems (23) Quantum statistical mechanics (15) | |||||||||
| 著者 |
橋爪, 邦夫
× 橋爪, 邦夫
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| 言語 | ||||||||||
| 言語 | jpn | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 著者(英) | ||||||||||
| en | ||||||||||
| HASHIZUME, Kunio | ||||||||||
| 著者 所属 | ||||||||||
| 近畿大学工学部教育推進センター | ||||||||||
| 著者所属(翻訳) | ||||||||||
| Center for the Advancement of Higher Education, Faculty of Engineering, Kinki University | ||||||||||
| 版 | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 出版者 名前 | ||||||||||
| 出版者 | 近畿大学工学部 | |||||||||
| 書誌情報 |
近畿大学工学部研究報告 en : Research reports of the Faculty of Engineering, Kinki University 号 45, p. 173-187, 発行日 2011-12-01 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0386491X | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | [Synopsis] In this paper, the Bragg-Williamsa pproximation of the Ising model is interpreted. The number N_＋/N is a measure of the "long-range order" in the lattice, and it is a fraction of up spins of all spins. The number N_<＋＋>/(_γN/2) is a measure of the "short-range order" in the lattice, and if it is definite that a given spin is up, the number is the fraction of its nearest neighbor with spin up. the parameter of long-range oeder L and that of short-range order σ are defined as N_+/N≡(1/2)(L+1) (-1L≦L≦＋1) and as N_<＋＋>/(γN/2)≡(1/2)(σ＋1)(-1≦σ≦＋1) respectively. The Bragg-Williams approximation consists of putting N_<＋＋>/(γN/2)≒N_<＋＋>/N. It states that there is no short-range order. The energy per spin is (1/N)E(L)＝-(1/2)εγL^2-βHL. The partition function in the Bragg-Williams approximation is Z(H, T)＝Σ__{S_i}e^<1/<K_BT>N(1/2εγL^2＋βHL)>. We calculated the thermodynamic functions id' est' Helmholtz's free energy F, the spontaneous magnetization per spin <M>, the internal energy U, the specific heat at constant volume C_V. The equation of state for the lattice gas is as follows : P_G＝βH-(1/8)ε_0γ(1＋<L^2>^^^-)-(1/2)k_BTlog_e((1-<L^2>^^^-)/4) and (1/ν)＝(1/2)(1＋(h/2)L^^-) in the Bragg-Williams approximation. | |||||||||
| フォーマット | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | application/pdf | |||||||||
