Abstract
We study the kinetic Ising model with random antiferromagnetic exchange, in one dimension. The probability law is suggested on physical grounds to be, P(J)∼J -α(0<α<1, 0<J<J 0), with J the exchange constant. We find a remanent magnetization at low temperatures strongly dependent on α, Tlnt (T=temperature, t=time), and the initial conditions. If initially the system is totally magnetized, the remanent is zero. We have obtained this result analytically using the continued fraction method and have checked its validity by a Monte-Carlo simulation.
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