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 -