EXACT STEADY-STATES OF ASYMMETRIC DIFFUSION AND 2-SPECIES ANNIHILATION WITH BACK-REACTION FROM THE GROUND-STATE OF QUANTUM SPIN MODELS

We calculated the exact probability distribution of the equilibrium state of some dynamical models in d-dimensional hypercubic lattices (d greater-than-or-equal-to 1). In these models we have asymmetric diffusion or two-species annihilation with back reaction A + B <--> 0. Our results are derived by exploring the relationship between the master equation and the Hamiltonian of quantum spins. The models we study are related to the spin-S Heisenberg model.