Journal of Statistcal Physics, Vol. 80, Nos. 5/6, 1995. p. 1425-1431.
We consider a model correlated percolative system on a 2D square lattice with a finite electric field applied accross its two opposite sides. We study the shape of the clusters formed with the addition of a new kind of bond (we call them tunneling bonds) which respond only above a finite threshold voltage. As expected, the clusters do have an overall elongated shape in the direction of the applied field. Intuitively, one expects the elongation (with the aspect ratio > 1 ) to increase indefinitely with the field. But, in a previous study, we found the model to belong to the same universality class in the limits of a zero and an infinite electric field...