## 5 Conclusions  
This study employed the Hashin model, Mori-Tanaka model, and generalized self-consistent (GSC) model to calculate the adsorbed asphalt film thickness, compare and optimize these calculations, and establish this factor as an indicator for evaluating interaction capability. Additionally, the effects of temperature, frequency, and the chemical composition of mineral fillers on the rheological properties of asphalt mastics and their interaction capability were examined. The primary conclusions are as follows:  
1. The adsorbed asphalt film thickness was calculated using the Hashin model, the Mori-Tanaka model, and the GSC model. The resulting thickness ranged from 0.01 to 0.37 \(\upmu\)m, determined by calculating the difference between the effective and initial volume fractions of the mineral filler. 2. A comparison was made of the adsorbed asphalt film thicknesses, calculated using the three micromechanical models. The film thickness based on the Hashin model was slightly greater than that derived from the Mori-Tanaka model, while the GSC model produced a significantly thinner film. In comparison to the film thicknesses obtained from the GSC and Mori-Tanaka models, the Hashin model provided a clearer physical interpretation, with no negative values and a simpler formula. It offered a more effective evaluation of the interaction capability between asphalt and mineral filler. 3. The shear modulus ratios of asphalt mastic under different filler volume fractions were subjected to nonlinear fitting, which allowed for a more accurate calculation of the critical filler volume fractions. The critical filler volume fractions for LAM, FAM, and CAM were determined to be 30.65%, 44.96%, and 41.15%, respectively. These values provide a basis for the scope of research on the interaction between asphalt and fillers. The results of the fitting provided a single film thickness for each type of asphalt mastic, demonstrating good fitting quality. At all temperatures, the film thickness followed a consistent trend: CAM \(>\) LAM \(>\) FAM. This method eliminated the dependence of the interaction evaluation indicator on the mineral filler volume fraction. 4. The interaction capacity between asphalt and mineral fillers was systematically investigated. It was found that the incorporation of mineral fillers significantly enhances the complex shear modulus of base asphalt, thereby increasing its elasticity while reducing its viscosity. Within the critical filler volume fraction range, rutting resistance is predominantly influenced by the material properties of the fillers. The interaction capability between asphalt and mineral filler is influenced by multiple factors. A higher SiO\({}_{2}\) content in mineral filler weakens the interaction with asphalt. The effect of frequency varies with temperature: below the softening point, a higher frequency reduces the interaction capability, whereas above this threshold, the interaction capability increases. The interaction between limestone filler and asphalt strengthens as temperature rises. The compact CaO-SiO\({}_{2}\)-Al\({}_{2}\)O\({}_{3}\) structure of fly ash minimizes sensitivity to temperature changes, while the high SiO\({}_{2}\) content in coal gangue inhibits its interaction with asphalt. Conceptualization, S.W. and Z.W. ; methodology, S.W. and Z.W. ; validation, S.W., Z.W. and H.Y. ; formal analysis, S.W. and A.Y. ; investigation, S.W. and Z.W. ; resources, Z.W., F.Z. and Z.H. ; data curation, S.W., A.Y. and X.M. ; writing--original draft preparation, S.W. and A.Y. ; writing--review and editing, S.W. and Z.W. ; visualization, S.W. and A.Y. ; supervision, Z.W. and Z.G. ; project administration, Z.W. and D.G. ; funding acquisition, Z.W. and S.W. All authors have read and agreed to the published version of the manuscript. This research was funded by Heilongjiang Provincial Natural Science Foundation of China [grant no YQ2022E038], the Key Project of Scientific Research Project of Hunan Provincial Department of Education (Grant No.