Article
Low-temperature relaxation in the one-dimensional Ising model
Author/s | Brey Abalo, José Javier
Prados Montaño, Antonio |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 1996 |
Deposit Date | 2020-05-12 |
Published in |
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Abstract | The decay of the spin-spin time correlation functions in a one-dimensional Ising model with Glauber dynamics is studied. In the low-temperature limit, an asymptotically valid continuous space equation is derived. It is a ... The decay of the spin-spin time correlation functions in a one-dimensional Ising model with Glauber dynamics is studied. In the low-temperature limit, an asymptotically valid continuous space equation is derived. It is a modified diffusion equation with a purely exponential relaxation term. Its solution leads to an exact Cole-Davison behavior of the spin autocorrelation in the frequency domain, while in the time description a KWW function followed by an exponential decay is obtained. The exponent of the KWW, analytically derived, is 1/2, and not 0.63, as has been reported in the literature. |
Project ID. | PB92-0683 |
Citation | Brey Abalo, J.J. y Prados Montaño, A. (1996). Low-temperature relaxation in the one-dimensional Ising model. Physical Review E, 53 (1), 458-464. |
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pubPhysRevE.53.458.pdf | 299.9Kb | [PDF] | View/ | |