Dynamics of Random One-Dimensional ±J Systems

Frequency Variation of the AC Order Parameter Susceptibility of the Metamagnetic Ising Model

“…In short, the relaxation evolves from a simple Debye exponential at high temperatures to a two-step process at lower temperatures in which there exist two long relaxation times characterizing the relaxation of staggered magnetization while | | ≫ | |. Similar findings are reported for model systems such as two-state random Potts spin model where the spin exchange is assumed to be random with frustration between F and AF values [28], Isingspin clusters systems on a triangular lattice with AF nearest neighbor and F next-nearest neighbor interactions [26], and experimental systems for temperatures near the critical point [29][30][31]. Finally, it should be emphasized that it is assumed in this study that the rate coefficients have negligible temperature dependence.…”

Dynamics of Ising spin chains with nearest‐neighbour and next‐nearest‐neighbour interactions in random fields

“…It is clear that the relaxation times ν τ are obtained as inverses of the eigenvalues of the eigenvalue problem (14). Numerically, we can say that ν τ are obtained as inverses of the eigenvalues of the matrix Z.…”

“…Also, for the RFI model Belanger [7] discusses experiments and Nattermann [7] surveys the theory. They have considered ena, which are important in studying the disordered Ising systems from the magnetic point of view [14,25]. Not only does the model discussed here display a zero-temperature phase transition, but it also has two advantages.…”