Universal negative poisson ratio of self-avoiding fixed-connectivity membranes.
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.
Bowick
M
M
Physics Department, Syracuse University, Syracuse, New York 13244-1130, USA.
Cacciuto
A
A
Thorleifsson
G
G
Travesset
A
A
D002462:Cell Membrane / Q000737:chemistry* / Q000502:physiology; D008567:Membranes, Artificial; D008954:Models, Biological; D008956:Models, Chemical; D008962:Models, Theoretical; D009010:Monte Carlo Method; D016012:Poisson Distribution
D008567:Membranes, Artificial