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The possibility of describing transient phenomena associated with flow and consolidation of solids, such as stress relaxation or physical aging, in terms of a kinetic mechanism comprising spontaneous and induced events is discussed. The starting point is the differential equation dn˙/dt=-an˙[1-(b/a)n˙], with n denoting the number of relaxed entities and n˙=dn/dt (a,b are constants, t is time), yielding an n˙(t) function reminiscent of a Bose–Einstein distribution. The corresponding n(t) relation describes the linear variation of n with log t, and the exponential dependence of n˙ on n, as often found experimentally. Replacing n˙ in the starting equation by the relative rate n˙/n yields a power‐law‐type n˙(n) dependence. A further modification, where the induction term n˙/n is not linear but raised to a power ≳1, finally produces a generalized version of the stretched exponential. When interpreted formally in terms of a spectrum of relaxation times τ, all three equations produce response functions with discrete τ distributions, provided a≠0.