Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes

Details Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes

2001-03-07

arxiv.org/abs/cond-mat/0103173v2

Phys. Rev. Lett. 87 (2001) 148103

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, LaTeX (revtex) Published version - title changed, one figure improved and one reference changed

Scientific paper

10.1103/PhysRevLett.87.148103

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.

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