A reduced transport model previously proposed for gyrokinetic turbulence simulations has been shown to reproduce turbulenttransport over a wide range of parameters [M. Nunami, et al., Phys. Plasmas 20, 092307 (2013);T. Nakayama, et al., Sci. Rep. 13, 2319 (2023)].While this model successfully captures simulation results, the origin of its functional form has remained largely empirical.In this work, we investigate a phenomenological representation of turbulent transport based on a minimal set of physical constraints.By separating turbulence-driven transport enhancement from zonal-flow-induced regulation, a general class of admissible transportfunctions is constructed.Representative regulation functions constructed within a physically motivated class of admissible forms are shown to sharea common asymptotic structure in the weak-regulation regime relevant to gyrokinetic simulations.Based on this observation, a lowest-order rational representation is identified as a minimal realization of the phenomenologicalconstraints.The resulting expression naturally includes the transport models previously proposed as special cases.This work provides a phenomenological and scaling-based foundation for reduced turbulent transport models, thereby clarifyingthe relation between previously proposed empirical models and a minimal rational realization of the phenomenological constraintsand establishing a first step toward a systematic classification of admissible transport models.Such a classification can provide objective guidelines for selecting appropriate reduced models across different physical transport regimes.
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