期刊論文
| 學年 | 88 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 1999-09-01 |
| 作品名稱 | Entropic rigidity of randomly diluted two- and three-dimensional networks |
| 作品名稱（其他語言） | |
| 著者 | M. Plischke; D. C. Vernon; B. Joós; Zhou, Z. |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | PHYSICAL REVIEW E 60(3), 3129-3135 |
| 摘要 | In recent work, we presented evidence that site-diluted triangular central-force networks, at finite temperatures, have a nonzero shear modulus for all concentrations of particles above the geometric percolation concentration pc. This is in contrast to the zero-temperature case where the (energetic) shear modulus vanishes at a concentration of particles pr>pc. In the present paper we report on analogous simulations of bond-diluted triangular lattices, site-diluted square lattices, and site-diluted simple-cubic lattices. We again find that these systems are rigid for all p>pc and that near pc the shear modulus μ∼(p−pc)f, where the exponent f≈1.3 for two-dimensional lattices and f≈2 for the simple-cubic case. These results support the conjecture of de Gennes that the diluted central-force network is in the same universality class as the random resistor network. We present approximate renormalization group calculations that also lead to this conclusion. |
| 關鍵字 | |
| 語言 | en |
| ISSN | |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/108014 ) |