Md. Grynberg et Rb. Stinchcombe, NONEQUILIBRIUM DENSITY PROFILES OF DEPOSITION-EVAPORATION STOCHASTIC-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 180000023-180000026
We investigate the nonequilibrium kinetics of deposition and evaporati
on of dimers in bipartite lattices. For equal deposition-evaporation r
ates a quantum spin analogy enables one to describe the dimer stochast
ic evolution in terms of the isotropic spin-1/2 Heisenberg ferromagnet
. This allows for an exact solution of nonequilibrium density profiles
in higher dimensions starting from initially unstable states. It is s
hown that these systems exhibit diffusive behavior and how the interpl
ay between jamming and dimensionality determines the type of asymptoti
c equilibration kinetics.