2-TEMPERATURE KINETIC ISING-MODEL IN ONE-DIMENSION - STEADY-STATE CORRELATIONS IN TERMS OF ENERGY AND ENERGY FLUX

We study the nonequilibrium properties of a one-dimensional kinetic Is ing model in which spins interact by nearest-neighbor ferromagnetic in teractions and a spin-flip dynamics is generated by contact with heat baths that are at different temperatures on even and odd lattice sites . The average energy (epsilon) and the energy flux between the two sub lattices (j(epsilon)) are calculated exactly and the two-spin steady-s tate correlations are expressed through epsilon and j(epsilon). It is found that the correlations can be classified as ferromagnetic (for ep silon < O and j(epsilon) small), antiferromagnetic (epsilon > O, j(eps ilon) small), oscillating ferromagnetic (epsilon < O, j(epsilon) large ), and oscillating antiferromagnetic (epsilon > O, j(epsilon) large). We also find a disorder line (epsilon=O, j(epsilon) arbitrary) on whic h all correlations are zero. The character of spatial correlations is shown to be reflected in the time evolution of sublattice magnetizatio ns: The dynamics is purely relaxational in the ferromagnetic and antif erromagnetic regime while it is damped oscillatory in the oscillating ferromagnetic and antiferromagnetic regions.