We investigate toy dynamical models of energy-level repulsion in quantum (quasi) energy eigenvalue sequences. We focus on parametric (with respect to a running coupling or ``complexity'' parameter) stochastic processes that are capable of relaxing towards a stationary regime (e.g. equilibrium, steady state asymptotic measure). In view of ergodic property, that makes them appropriate for the study of short-range fluctuations in any disordered, randomly-looking spectral sequence (as exemplified e.g. by empirical nearest-neighbor spacings histograms of various quantum systems). The pertinent Markov diffusion-type processes (with values in the space of spacings) share a general form of forward drifts b(x) = (N-1)/{2x} - x, where x>0 stands for the spacing value. Here N = 2, 3, 5 correspond to the familiar (generic) random-matrix theory inspired cases, based on the exploitation of the Wigner surmise (usually regarded as an approximate formula). N=4 corresponds to the (non-generic) non-Hermitian Ginibre ensemble. The result appears to be exact in the context of 2\times 2 random matrices and indicates a potential validity of other non-generic N>5 level repulsion laws.

PACS numbers: 03.65.Ge, 02.50.Ga, 05.45.Mt