TY - JOUR
T1 - Critical behavior of rigid-normal elastic and diluted-normal networks
AU - Duering, Edgardo
AU - Bergman, David J.
N1 - Funding Information:
One of us (E.D.) acknowledges useful discussions with A.B. Harris. This research was supported in part by the U.S.-Israel Binational Science Foundation under Grant 354185.
PY - 1989/5/1
Y1 - 1989/5/1
N2 - The transfer matrix evaluation of the elastic constants of random bond honeycomb lattices was applied to mixtures of rigid and normal elastic bonds and to diluted networks. At least three exponents (T ∼ 4, S ∼ 1.3 and T′ ∼ 1.3) are required to describe the critical behavior. Applying finite size scaling ideas we found that the Poisson's ratio is ξ/L dependent (from -1 3 to 0.08) for the rigid-normal elastic network, but it is ξ/L independent for the diluted-normal network. The main features of the scaling theory of random elastic systems are summarized.
AB - The transfer matrix evaluation of the elastic constants of random bond honeycomb lattices was applied to mixtures of rigid and normal elastic bonds and to diluted networks. At least three exponents (T ∼ 4, S ∼ 1.3 and T′ ∼ 1.3) are required to describe the critical behavior. Applying finite size scaling ideas we found that the Poisson's ratio is ξ/L dependent (from -1 3 to 0.08) for the rigid-normal elastic network, but it is ξ/L independent for the diluted-normal network. The main features of the scaling theory of random elastic systems are summarized.
UR - http://www.scopus.com/inward/record.url?scp=29444440275&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(89)90362-2
DO - 10.1016/0378-4371(89)90362-2
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AN - SCOPUS:29444440275
SN - 0378-4371
VL - 157
SP - 561
EP - 564
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -