An exact solution of a one-dimensional asymmetric exclusion model with open boundaries

摘要: A simple asymmetric exclusion model with open boundaries is solved exactly in one dimension. The exact solution obtained by deriving a recursion relation for the steady state: if state known all system sizes less thanN, then our equation (8) gives sizeN. Using this recursion, we obtain closed expressions (48) average occupations of sites. results are compared to predictions mean field theory. In particular, infinitely large systems, effect boundary decays as distance power −1/2 instead inverse distance, predicted