  This paper is concerned with the large deviation principle of the stochastic
reaction-diffusion lattice systems defined on the N-dimensional integer set,
where the nonlinear drift term is locally Lipschitz continuous with polynomial
growth of any degree and the nonlinear diffusion term is locally Lipschitz
continuous with linear growth. We first prove the convergence of the solutions
of the controlled stochastic lattice systems, and then establish the large
deviations by the weak convergence method based on the equivalence of the large
deviation principle and the Laplace principle.
