1605715(1 of 11) devices; as a result, the current characteristics predicted by these models often deviate from those measured in actual OFETs. [2] Therefore, in order to gain a better understanding of the OFET device physics, it is highly desirable to develop more robust models that go beyond approximations that could be inappropriate for organic semiconductors. [2d] As a matter of fact, the electrical currents in the device are intimately related to the microscopic mechanisms of charge transport. In the vast majority of organic semiconductor thin films, the charge transport can be described by hopping of charge carriers (polarons) among localized electronic states. [3] Such a process, however, is in fact ignored in most OFET models. On the other hand, detailed information on microscopic charge transport is required when modeling an OFET device. For example, the distribution of charge carriers is needed to evaluate the drain current, which is directly related to the charge-transport process. Without explicit consideration of the nature of the microscopic charge transport, such information has to be obtained by relying on even more assumptions. A commonly used approximation is the so-called gradual channel approximation (GCA), which can provide simple solutions for the current-voltage relationships in OFETs when further assuming zero channel thickness, no diffusion, and constant mobility. Importantly, most of these assumptions have not been shown to be valid, in particular over the full data range, in the case of OFETs. For instance, the GCA implies that, when the gate voltage (V G ) is much larger than the drain voltage (V D ), the 2D electric potential can be simplified as a linear combination of two 1D profiles along orthogonal directions. [4] Thus, the GCA is valid in principle only in a narrow range in the linear regime of the OFET characteristics (i.e., when V D ≪ V G ); in practice, however, the GCA is used in the interpretation of the experimental data in both the linear and saturation regimes (i.e., even when V D > V G ), which in the latter case is clearly in contradiction with the prerequisite for the GCA. Indeed, in the saturation regime (and also some sections of the linear regime), the strength of the lateral electric field becomes comparable to that of the perpendicular field, so that the device physics near the drain electrode cannot be accounted for by the GCA. Moreover, the charge mobilities of organic semiconductor have The electrical properties of organic field-effect transistors (OFETs) are usually characterized by applying models initially developed for inorganic-based devices, which often implies the use of approximations that might be inappropriate for organic semiconductors. These approximations have brought limitations to the understanding of the device physics associated with organic materials. A strategy to overcome this issue is to establish straightforward connections between the macroscopic current characteristics and microscopic charge transport in OFETs. Here, a 3D kinetic Mon...