Non-exponential relaxations in disordered conductors

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We show that, in low dimensional conductors, the quasiparticle decay and the relaxation of the phase are not exponential processes. In quasi-one dimension, they scale as e⁻ ⁽ᵗ/τⁿ⁾³/² where the characteristic time τin, identical for both processes, is a power T²/³ of the temperature. This result implies a distribution of relaxation times.