Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-02-23
J. Phys. A: Math. Theor. 43, 395003 (2010)
Physics
Condensed Matter
Statistical Mechanics
16 pages, 9 figures: Appendix are modified in v2, v3: final version
Scientific paper
Glauber dynamics of a bond-diluted Ising model on a Bethe lattice (a random graph with fixed connectivity) is investigated by an approximate theory which provides exact results for equilibrium properties. The time-dependent solutions of the dynamical system derived by this method are in good agreement with the results obtained by Monte Carlo simulations in almost all situations. Furthermore, the derived dynamical system exhibits a remarkable phenomenon that the magnetization shows multi-step relaxations at intermediate time scales in a low-temperature part of the Griffiths phase without bond percolation clusters.
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