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An Approximate Method for Evaluating a Class of Partition Functions
http://hdl.handle.net/10083/2158
http://hdl.handle.net/10083/215862ca9776-265c-4533-bb70-e807b9238885
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00004829700.pdf (727.6 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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| 公開日 | 2008-04-30 | |||||
| タイトル | ||||||
| タイトル | An Approximate Method for Evaluating a Class of Partition Functions | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Iwata, Giiti
× Iwata, Giiti× 岩田, 義一 |
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| 著者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 69820 | |||||
| 姓名 | イワタ, ギイチ | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | As a continuation to a previous paper, in §1 a grand partition function is rewritten so as to deal with a system of particles with hard core, in §2 is presented an integral formula expressing the inverse of the volume of the intersection of a sphere and several planes, which formula is employed in §3 to represent the mean value of the weighting factor. In §3 a partition function with a fixed number of particles is evaluated by applying the method of the previous paper, taking a point representing a probable distribution of particle for the origin of the integration space, and replacing the weighting factor by its average over the intersection of a sphere and two planes, N the number of division of the volume occupied by the system of particles being fixed. In §4 the limit N→∞ is taken to reach the final, fairly simple, expression (58). In §5 are described three distributions, a uniform distribution, a crystalline distribution and an interpolation distribution. In §6, the pressure of a system of hard spheres is computed based on three distributions and is shown in Fig.1. While the uniform distribution leads to no ph\ ase change, the crystalline distribution as well as the interpolation distribution lead to a phase change. The interpolation distribution gives a fairly good result agreeing with the virial expansion and Wainwright-Alders computations, up to the phase change, diverging from them beyond there. To improve the present method, setting up of a better distribution is proposed in §7. |
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| 書誌情報 |
お茶の水女子大學自然科學報告 巻 21, 号 1, p. 23-38, 発行日 1970-07 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00298190 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00033958 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 形態 | ||||||
| 727583 bytes | ||||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 400 | |||||
| 出版者 | ||||||
| 出版者 | お茶の水女子大学 | |||||
| 資源タイプ | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 紀要論文 | |||||
| 資源タイプ・ローカル | ||||||
| 紀要論文 | ||||||
| 資源タイプ・NII | ||||||
| Departmental Bulletin Paper | ||||||
| 資源タイプ・DCMI | ||||||
| text | ||||||
| 資源タイプ・ローカル表示コード | ||||||
| 03 | ||||||
| 所属 | ||||||
| Department of Physics, Faculty of Science, Ochanomizu University | ||||||
