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Bond Orientational Order in the Randomly Diluted Elastic Network
Author(s) -
Jian Wang,
A. B. Harris
Publication year - 1985
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.55.2459
Subject(s) - rigidity (electromagnetism) , central force , elasticity (physics) , moduli , elastic modulus , percolation (cognitive psychology) , hooke's law , shear modulus , physics , shear (geology) , percolation threshold , materials science , classical mechanics , thermodynamics , quantum mechanics , electrical resistivity and conductivity , composite material , neuroscience , biology
It is proposed that the randomly diluted elastic network of Hooke's-law central-force springs in two dimensions may have a hitherto unrecognized splay-rigid phase in which the bulk and shear moduli vanish but the Frank elastic constant, $K$, is nonzero. Exponents for the associated splay-rigidity percolation and torsional resistance are estimated by series-expansion techniques. These exponents are related to that for $K$ through the node-link picture.

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