We obtain an exact solution for the one-dimensional site percolation model with bonds connecting the Lth nearest neighbours. The critical exponents are found to depend on L: 2 a p = L, yp = L, vP = L, qp = 1, pp = 0 and 6, = 00. By mapping the percolation problem onto an king-like model with multi-spin interactions, we argue that the dependence of the percolation exponents on L can be understoo...

The water percolation loss beyond root zone in the soil is one of the important parameters to determine water requirement of rice plant. If the amount of water percolation rate into the soil is estimated more carefully, determination of water requirement will be evaluated better and designing for system of irrigation, drainage and related establishments will be more easily done. The purpose of ...

A directed animal is a percolation cluster in the directed site percolation model. The aim of this paper is to exhibit a strong relation between the problem of computing the generating function GF of directed animals on the square lattice, counted according to the area and the perimeter, and the problem of solving a system of quadratic equations involving unknown matrices. We present some solid...

A directed animal is a percolation cluster in the directed site percolation model. The aim of this paper is to exhibit a strong relation between the problem of computing the generating function GF of directed animals on the square lattice, counted according to the area and the perimeter, and the problem of solving a system of quadratic equations involving unknown matrices. We present some solid...

In this comment we show that the scaling behaviour of the failure threshold of a random lattice whose individual éléments have a rupture threshold will be différent for the mechanical and electrical problems in percolation conditions. This is due to the fact that only torques and angular distortions are effective in bringing about rupture in the mechanical case. J. Physique 48 (1987) 903-904 J ...