Abstract
The excess resistivityΔ ρ of binary alloys is calculated in the Born approximation for the scattering of quasifree electrons from the atomic disorder.Δ ρ can be represented as the convolution of the structure functionS(q) and the fourier transform of the effective potential. The critical anomaly ofΔ ρ is derived from scaling expressions forS(q), both for alloys which undergo unmixing and for order-disorder transitions. The variation ofΔ ρ with concentration and temperature in the vicinity of a critical point is obtained. The time-dependence of the resistivity of alloys after a sudden quench into the two-phase region is also calculated, using computer simulation data forS(q,t), and a maximum ofΔ ρ is found for zones with linear dimension of 8–12 lattice spacings. All these results are in fair agreement with the available experiments. As a further possible application, we obtain the critical exponent for the nonlinear relaxation of the resistivity of an alloy close to the order-disorder transition.
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