  Site percolation in a distorted simple cubic lattice is characterized
numerically employing the Newman-Ziff algorithm. Distortion is administered in
the lattice by systematically and randomly dislocating its sites from their
regular positions. The amount of distortion is tunable by a parameter called
the distortion parameter. In this model, two occupied neighboring sites are
considered connected only if the distance between them is less than a
predefined value called the connection threshold. It is observed that the
percolation threshold always increases with distortion if the connection
threshold is equal to or greater than the lattice constant of the regular
lattice. On the other hand, if the connection threshold is less than the
lattice constant, the percolation threshold first decreases, then increases
steadily as distortion is increased. It is shown that the variation of the
percolation threshold can be well explained by the change in the fraction of
occupied bonds with distortion. The values of the relevant critical exponents
of the transition strongly indicate that percolation in regular and distorted
simple cubic lattices belong to the same universality class. It is also
demonstrated that this model is intrinsically distinct from the site-bond
percolation model.
