Eur. Phys. J. E 3, 253-258
The elastic behavior of entropic "fisherman's net''
O. Farago - Y. Kantor
School of Physics and Astronomy, Tel Aviv University, Tel
Aviv 69 978, Israel
Received 9 February 2000 and Received in final form 14 May 2000
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 between the maximal and actual extensions of the net. When the net is very stretched ( ), 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 looser ( ).
62.20.Dc Elasticity, elastic constants - 05.10.-a Computational methods in statistical physics and nonlinear dynamics - 65.50.+m Thermodynamic properties and entropies
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