A two-parametric family of asymmetric exclusion processes and its exact solution

A two-parameter Family of asymmetric exclusion processes for particles on a one-dimensional lattice is defined. The two parameters of the model contro l the driving force and effect which we call pushing, due to the fact that particles can push each other in this model. We show that this model is exa ctly solvable via the coordinate Bethe Ansatz and show that its N-particle S-matrix is factorizable. We also study the interplay of the above effects in determining various steady state and dynamical characteristics of the sy stem.