Low-temperature Glauber dynamics under weak competing interactions
We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J<sub>1</sub>, J<sub>2</sub>. For 0 < -J<sub>2</sub> /|J<sub>1</sub> | < 1 it is known that at T =...
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2015
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/99415 https://ri.conicet.gov.ar/11336/47908 http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032129 |
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| Sumario: | We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J<sub>1</sub>, J<sub>2</sub>. For 0 < -J<sub>2</sub> /|J<sub>1</sub> | < 1 it is known that at T = 0 the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of T → 0<sup>+</sup> . Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated -J<sub>2</sub> /| J<sub>1</sub>| ratios is characterized by an almost ballistic dynamic exponent z ≃ 1.03(2) and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive. |
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