Phase transitions in autonomous reaction-diffusion systems on a   one-dimensional lattice with boundaries
  The family of autonomous reaction-diffusion models on a one-dimensional lattice with boundaries is studied. By autonomous, it is meant that the evolution equation for n-point functions contain only n- or less- point functions. It is shown that these models exhibit a static and a dynamic phase transition. 
Amir Aghamohammadi, Mohammad Khorrami