The starry sky model of the percolation phase transition III. A new equilibrium equation and two kinds of the ‘special’ elastic nodes

Asya S. Skal

Physica A: Statistical Mechanics and its Applications, 1997, vol. 242, issue 1, 13-26

Abstract: The equilibrium Lame equation in two-dimensional and three-dimensional spaces can be presented as conductivity in magnetic field equation, with Lorenz force expression. This allows us to apply the perturbation theory and generalize the Lame equation, and obtain a new equilibrium equation with all responses of compression and tension (it means that compression in one direction leads to tension in the perpendicular direction, and vice versa, if the boundaries are fixed). The solution in recurrent integral form for contributions to all orders of Poisson ratio is then obtained.

Keywords: Percolation threshold; Fractal dimension; Critical interval; Critical exponent (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:242:y:1997:i:1:p:13-26

DOI: 10.1016/S0378-4371(97)00213-6

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