A ONE-DIMENSIONAL MODEL FOR NONEXPONENTIAL RELAXATION IN A SPIN GLASS OR GLASSY SYSTEM

Ekrem Aydiner () and Keri̇im Kiymaç ()
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Ekrem Aydiner: Physics Department, Faculty of Arts and Sciences, University of Dokuz Eylul, 35160, Kaynaklar Yerleskesi, Tinaztepe, Izmir, Turkey
Keri̇im Kiymaç: Physics Department, Faculty of Arts and Sciences, University of Cukurova, 01330 Adana, Turkey

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 01, 163-173

Abstract: In this research, we have presented the phase space of the so-called spin glass or glassy systems with a one-dimensional randomly-oriented diode network (RODN) in which the bonds between the lattice points are represented with diodes and these diodes are assumed to be fully conducting in the forward biased direction, whereas they are assumed to have some constraints, in the reverse direction, depending on the temperature and/or some other external effects. Thus, a particle's conduction (or transition) probability in the reverse direction through a diode like bond,pr, can be assumed to have values between zero and one. By employing the Monte Carlo simulation technique to the diffusion of particles through this network we have explored the relaxation mechanism, and their functional forms. Our simulation data indicates that for reverse transition probability values ofpr=1.0and 0.9, the time dependence of the relaxation data is exponential, on the other hand forpr

Keywords: Random diode network; random walk; spin glass; stretched exponential (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005620

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