Phase transition in strongly inhomogeneous ferromagnets |
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Authors: | G Sobotta |
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Institution: | Institut für Theoretische Physik, Ruhr-Universität Bochum, 4630 Bochum, West Germany |
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Abstract: | A field theoretical model is proposed to describe the critical behaviour of a strongly inhomogeneous spin system with a position dependent concentration of magnetic atoms C(R) and magnetisation M(R). Assuming a finite number of Fouriermodes ,..., , to express C(R), the quenched randomness requires to interpret {} on a set of invariant or marginal lengths. As consequence, M(R) can be described by n Fourier-modes MQv, where . For short range spin-spin interaction, we find for strong inhomogeneity, i.e. large n, the critical exponent between those of the related homogeneous system and those of the spherical model. |
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