Z. Racz et Rkp. Zia, 2-TEMPERATURE KINETIC ISING-MODEL IN ONE-DIMENSION - STEADY-STATE CORRELATIONS IN TERMS OF ENERGY AND ENERGY FLUX, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 139-144
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.