## 3 Results and Discussion
### Initial Temperature of Self Healing  
The flow characteristic index (\(n\)) was determined by Equation (3) [34]:  
\[\eta*=m|w|^{n-1} \tag{3}\]  
The equation used in this study includes several variables, including the frequency (\(w\)), composite viscosity (\(\eta\)*), and fitting parameters (\(m\) and \(n\)). The flow characteristic index is determined by the fitted parameter \(n\), which is used to analyze the fiber asphalt mastic's initial self-healing temperature and evaluate its capacity for self healing. The viscosity values of asphalt mastic modified with different fibers are shown in Figure 10. It can be observed that the viscosity gradually decreases between 10 \({}^{\circ}\)C and 40 \({}^{\circ}\)C as the loading frequency increases. However, as the temperature continues to rise from 50 \({}^{\circ}\)C to 70 \({}^{\circ}\)C, the viscosity remains at a similar level, regardless of the loading frequency. From the perspective of frequency, this is mainly due to the fact that at lower frequencies, the time scale of viscous dissipation is longer, and the asphalt molecules have sufficient time to complete their viscous dissipation through various modes of movement, resulting in a higher viscosity. As the frequency increases, the time scale of viscous dissipation decreases, and the asphalt molecules cannot move quickly enough to complete the viscous dissipation, leading to a decrease in viscosity. The interactions between asphalt molecules are stronger at low temperatures from a thermal standpoint. As a result, the viscosity of the asphalt gradually decreases as the loading frequency rises, because the asphalt molecules need more time to complete their viscous dissipation. The time scale for viscous dissipation; however, shortens as the temperature rises due to weaker connections between asphalt molecules. The asphalt molecules can move swiftly enough to complete the viscous dissipation even as the loading frequency rises, resulting in a rather steady viscosity. The viscosity of the asphalt mastic can also be increased by adding fibers. This is due to the fact that fibers can adsorb asphalt molecules, boosting their interactions and raising the viscosity, and that they have a high surface energy [35]. Table 6 presents the \(n\) values for the fiber asphalt mastic. The information shows that asphalt mastic treated with fibers showed a rise in flow characteristics index as the temperature rose, revealing that at higher temperatures, the asphalt mastic presented characteristics resembling those of a virtually Newtonian fluid. Plain asphalt mastic's flow characteristic index rose from 0.571 to 0.98 in the temperature range of 10 \({}^{\circ}\)C to 70 \({}^{\circ}\)C. Meanwhile, the index for the asphalt mastic treated with basalt fibers flow properties decreased marginally. The \(n\) rose from 0.493 to 0.965, 0.532 to 0.972, and 0.609 to 0.974, respectively, for asphalt mastics treated with basalt fiber at 3%, 6%, and 9%. Additionally, the flowability of the 3%, 6%, and 9% bamboo-fiber-modified asphalt mastics increased from 0.532 to 0.967, 0.528 to 0.953, and 0.525 to 0.961, respectively. These results demonstrate that both basalt and bamboo-fiber-modified asphalt mastics exhibit favorable flowability within the temperature range of 10 \({}^{\circ}\)C to 70 \({}^{\circ}\)C.  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \multirow{2}{*}{**T (\({}^{\circ}\)C)**} & \multirow{2}{*}{**0\%**} & \multicolumn{4}{c}{**Basalt Fiber Content (\%)**} & \multicolumn{4}{c}{**Bamboo Fiber Content (\%)**} \\ \cline{3-8}  & & **3\%** & **6\%** & **9\%** & **3\%** & **6\%** & **9\%** \\ \hline
10 & 0.571 & 0.493 & 0.530 & 0.532 & 0.532 & 0.528 & 0.525 \\
20 & 0.740 & 0.696 & 0.701 & 0.697 & 0.692 & 0.690 & 0.687 \\
30 & 0.828 & 0.797 & 0.795 & 0.797 The temperature dependence of the \(n\) for many fiber asphalt mastics is shown in Figure 11. The addition of more fibers to the asphalt mastic results in an increase in the initial self-healing temperature.