| dc.contributor | 應數系 | - |
| dc.creator (作者) | 陳隆奇 | zh_TW |
| dc.creator (作者) | Chen, L. C. | - |
| dc.creator (作者) | Wu, F. Y. | en_US |
| dc.date (日期) | 2005-08 | - |
| dc.date.accessioned | 27-Jun-2017 17:09:27 (UTC+8) | - |
| dc.date.available | 27-Jun-2017 17:09:27 (UTC+8) | - |
| dc.date.issued (上傳時間) | 27-Jun-2017 17:09:27 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/110508 | - |
| dc.description.abstract (摘要) | We explicitly evaluate the free energy of the random cluster model at its critical point for 0 < q < 4 using an exact result due to Baxter, Temperley and Ashley. It is found that the resulting expression assumes a form which depends on whether is a rational number, and if it is a rational number whether the denominator is an odd integer. Our consideration leads to new summation identities and, for q = 2, a closed-form evaluation of the integral [1/(4\\pi^2)] \\int_0^{2\\pi}dx \\int_0^{2\\pi}dy ln[A + B + C - A cos x - B cos y - C cos(x + y)] = -\\ln(2S) + (2/\\pi)[Ti_2(AS) + Ti_2(BS) + Ti_2(CS)], where A, B, C >=0 and S = 1/\\sqrt{AB+BC+CA}. | - |
| dc.format.extent | 159259 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | J.Phys. A:Math. Gen., Vol.38, pp.6271-6276 | - |
| dc.title (題名) | The Ramdom Cluster Model and New Summation and Integration Identities | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1088/0305-4470/38/28/001 | - |
