Entropic rigidity of randomly diluted two- and three-dimensional networks
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
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機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/108014 )