A kinetic ANNNI model
نویسنده
چکیده
Alneact, We present a kinetic lattice system that evolves in general towards steady nonequilibrium states due to dynamical conflict between nearestand next-nearest-neighbour interactions, Under two simple particular limits, the system would reach asymptotically the canonical equi!ihium' states for the ordinary Ising model and for the axial next-nearestneighbour Ising (ANNNI) model, respectively. We find more generally that, independently of the lattice dimension, the steady state probability distribution for a given class of transition rates has a quosi-cononicnl structure with a short-range effective Homilronioil. We solve exactly the one-dimensional version of this case, and compare its behaviour to the one for the ordinary ANNNI model. In particular, the system is shown to exhibit several spatially modulated phases and impure critical points. We also obtain some information on the phase diagram for the two-dimensional lattice.
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