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The Elastic Behavior of Entropic "Fisherman's Net"

Oded Farago·Yacov Kantor
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Abstract

A new formalism is used for a Monte Carlo determination of the elastic constants of a two-dimensional net of fixed connectivity. The net is composed of point-like atoms each of which is tethered to six neighbors by a bond limiting the distance between them to a certain maximal separation, but having zero energy at all smaller lengths. We measure the elastic constants for many values of the ratio $γ$ between the maximal and actual extensions of the net. When the net is very stretched ($γ\sim 1$), a simple transformation maps the system into a triangular hard disks solid, and we show that the elastic properties of both systems, coincide. We also show that the crossover to a Gaussian elastic behavior, expected for the non-stressed net, occurs when the net is more loose ($γ\sim 3$).

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Oded Farago, Yacov Kantor. 2000-04-17. The Elastic Behavior of Entropic "Fisherman's Net". https://doi.org/10.1007/s101890070017

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