When a weakly outgassing comet is sufficiently close to the Sun, the formation of an ionized coma results in solar wind mass loading and magnetic field draping around its nucleus. Using a 3D fully kinetic approach, we distill the components of a generalized Ohm's law and the effective electron equation of state directly from the self-consistently simulated electron dynamics and identify the driving physics in the various regions of the cometary plasma environment. Using the example of space plasmas, in particular multi-species cometary plasmas, we show how the description for the complex kinetic electron dynamics can be simplified through a simple effective closure, and identify where an isotropic single-electron fluid Ohm's law approximation can be used, and where it fails.Numerical models that seek to describe the evolution 1 of plasma without self-consistently including the electron 2 dynamics, such as (multi-)fluid and hybrid simulation 3 approaches [1], need to rely on a relation that prescribes 4 the behavior of the unresolved species. Typically a 5 generalized Ohm's law (GOL) is assumed [2], combined 6 with a closure relation such as a polytropic or a double 7 adiabatic evolution [3,4]. In this letter, we show how a 8 GOL can unravel the hidden mysteries of multi-species 9 plasma environments, such as the solar wind plasma 10 interaction with a weakly outgassing comet [5][6][7]. We 11 indicate where reduced plasma models can be applied, 12 e.g., to gain more direct access to the ongoing physics 13 and/or to decrease the needed amount of computational 14 resources, and show the consequences of this compromise. 15 * mailto: jandeca@gmail.com 16 The Rosetta spacecraft caught up with comet 17 67P/Churyumov-Gerasimenko (hereafter 67P) at a 18 heliocentric distance of 3.6 AU [8, 9]. At a few hundreds 19 of kilometers from the cometary nucleus, the Rosetta 20 plasma instruments, quite unexpectedly, picked up 21 the signatures of a plasma environment dominated 22 the plasma density with distance from the nucleus [19, 20] 34 or, in other words, there exists a continuously changing 35 ratio between the cometary and the upstream solar wind 36 plasma density throughout 67P's plasma environment, 37 both along the Sun-comet direction as well as in the 38 meridian plane [21-23]. To first order, for a weakly 39 outgassing comet, the dynamical interaction that de-40 termines the general structure of the cometary plasma 41 environment is representative of a four-fluid coupled 42 system (illustrated in Fig. 1), where the solar wind 43 electrons move to neutralize the cometary ions and the 44 cometary electrons organize themselves to neutralize the 45 solar wind ions [7]. 46 47 In addition to a detailed understanding of the kinetic 48 dynamics that governs the solar wind interaction with 49 a weakly outgassing comet, in this letter we provide 50 feedback to (multi-)fluid [24-29] and hybrid [16, 30-37] 51 models where the electrons dynamics is prescribed 52 through a GOL combined with an electron closure 53 relation. Using a f...