Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes

A. Cacciuto; A. Travesset; G. Thorleifsson; Mark J. Bowick

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arxiv cond-mat/0103173 v2 pith:JJDLW2CY submitted 2001-03-07 cond-mat.soft cond-mat.stat-mech

Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes

Mark J. Bowick , A. Cacciuto , G. Thorleifsson , A. Travesset This is my paper

classification cond-mat.soft cond-mat.stat-mech

keywords membranesfixed-connectivitypoissonratioclassmaterialsnegativesigma

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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.

Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes

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