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Title: Universal Negative Poisson Ratio of Self-Avoiding Fixed-Connectivity Membranes

Journal Article · · Physical Review Letters

We determine the Poisson ratio of self-avoiding fixed-connectivity membranes, modeled as impenetrable plaquettes, to be {sigma}=-0.37(6) , in statistical agreement with the Poisson ratio of phantom fixed-connectivity membranes {sigma}=-0.32(4) . Together with the equality of critical exponents, this result implies a unique universality class for fixed-connectivity membranes. Our findings thus establish that physical fixed-connectivity membranes provide a wide class of auxetic (negative Poisson ratio) materials with significant potential applications in materials science.

Sponsoring Organization:
(US)
DOE Contract Number:
FG02-85ER40237
OSTI ID:
40277692
Journal Information:
Physical Review Letters, Vol. 87, Issue 14; Other Information: DOI: 10.1103/PhysRevLett.87.148103; Othernumber: PRLTAO000087000014148103000001; 034141PRL; PBD: 1 Oct 2001; ISSN 0031-9007
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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