Long-time relaxation in disordered Ising chains

Dhar, Deepak ; Barma, Mustansir (1979) Long-time relaxation in disordered Ising chains Journal of Applied Physics, 50 (B11). pp. 7407-7409. ISSN 0021-8979

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Official URL: http://jap.aip.org/resource/1/japiau/v50/iB11/p740...

Related URL: http://dx.doi.org/10.1063/1.326909


We study the long-time relaxation of magnetization in a bond-disordered, one-dimensional kinetic Ising model. We show that with a ferromagnetic two-peaked distribution of the coupling constants, the magnetization at very long times varies as exp(-λ0t-ct1/3). For low enough temperatures, there is an intermediate time regime where the magnetization varies as exp(-λ0t-bt½). If the distribution of bond strengths varies as a power law near some maximum value J0, we find that the magnetization at long times varies as exp(-λ0t-ct1/3(lnt)).

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Ising Model; Magnetization; Amorphous State; Ferromagnetism; One-dimensional Calculations; Time Dependence
ID Code:79580
Deposited On:27 Jan 2012 12:55
Last Modified:10 Feb 2012 04:31

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