Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-10-21
Physica A 389 (2010) 242-248
Physics
Condensed Matter
Statistical Mechanics
15 pages,5 figures.Submitted to Journal of Physics: Condensed Matter
Scientific paper
The dynamics of the one-dimensional random transverse Ising model with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions is studied in the high-temperature limit by the method of recurrence relations. Both the time-dependent transverse correlation function and the corresponding spectral density are calculated for two typical disordered states. We find that for the bimodal disorder the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one and for the Gaussian disorder the dynamics is complex. For both cases, it is found that the central-peak behavior becomes more obvious and the collective-mode behavior becomes weaker as $K_{i}$ increase, especially when $K_{i}>J_{i}/2$ ($J_{i}$ and $K_{i}$ are exchange couplings of the NN and NNN interactions, respectively). However, the effects are small when the NNN interactions are weak ($K_{i}
Kong Xiang-Mu
Liu Zhong-Qiang
Xu Zhen-Bo
Yuan Xiao-Juan
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