  Pattern formation in a two-dimensional system of rod-like particles has been
simulated using a lattice approach. Rod-like particles were modelled as linear
$k$-mers of two mutually perpendicular orientations ($k_x$- and $k_y$-mers) on
a square lattice with periodic boundary conditions (torus). Two kinds of random
sequential adsorption model were used to produce the initial homogeneous and
isotropic distribution of $k$-mers with different values of packing fraction.
By means of the Monte Carlo technique, translational diffusion of the $k$-mers
was simulated as a random walk, while rotational diffusion was ignored, so,
$k_x$- and $k_y$-mers were considered as individual species. The system tends
toward a well-organized nonequilibrium steady state in the form of diagonal
stripes for the relatively long $k$-mer ($k \geq 6$) and moderate packing
densities (in the interval $p_{down} < p < p_{up}$, where both the critical
packing fractions $p_{down}$ and $p_{up}$ are depended on $k$).
