The irreducible string and an infinity of additional constants of motion in a deposition-evaporation model on a line

摘要: We study a model of stochastic deposition-evaporation with recombination, three species dimers on line. This is generalization the recently introduced by Barma et. al (1993) to q>or=3 states per site. It has an infinite number constants motion, in addition infinity conservation laws original which are encoded as irreducible string. determine dynamically disconnected sectors and their sizes this exactly. Using additional symmetry we construct class exact eigenvectors matrix. The autocorrelation function decays different powers t sectors. find that spatial correlation algebraic decay exponent 3/2, sector corresponding initial state all sites same state. dynamical non-trivial sector, estimate it numerically diagonalization matrix for small sizes. case z=2.39+or-0.05.