Domain-wall interactions. II. High-order phases in the axial next-nearest-neighbor Ising model

1987 ◽  
Vol 36 (10) ◽  
pp. 5343-5362 ◽  
Author(s):  
Michael E. Fisher ◽  
Anthony M. Szpilka
Keyword(s):  
Ising Model ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
High Order ◽  
Wall Interactions

Domain-wall interactions. III. High-order phases in the three-state chiral-clock model

1987 ◽  
Vol 36 (10) ◽  
pp. 5363-5376 ◽  
Author(s):  
Anthony M. Szpilka ◽  
Michael E. Fisher
Keyword(s):  
Domain Wall ◽  
High Order ◽  
Clock Model ◽  
Wall Interactions

scholarly journals EXACT SOLUTION OF AN IRREVERSIBLE ONE-DIMENSIONAL MODEL WITH FULLY BIASED SPIN EXCHANGES

1996 ◽  
Vol 10 (25) ◽  
pp. 3451-3459 ◽  
Author(s):  
ANTÓNIO M.R. CADILHE ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Exact Solution ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Initial Conditions ◽  
Strong Dependence ◽  
Zero Temperature ◽  
Dimensional Model ◽  
One Dimensional ◽  
Temperature Dynamics

We introduce a model with conserved dynamics, where nearest neighbor pairs of spins ↑↓ (↓↑) can exchange to assume the configuration ↓↑ (↑↓), with rate β(α), through energy decreasing moves only. We report exact solution for the case when one of the rates, α or β, is zero. The irreversibility of such zero-temperature dynamics results in strong dependence on the initial conditions. Domain wall arguments suggest that for more general, finite-temperature models with steady states the dynamical critical exponent for the anisotropic spin exchange is different from the isotropic value.

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