Step 1: Identify hallmark mechanism.
Halogenation of alkanes (e.g., methane) under light/heat follows a free radical chain mechanism.
Step 2: Outline the steps (example with \( \mathrm{Cl_2} \)).
Initiation: \( \mathrm{Cl_2} \xrightarrow{h\nu/\Delta} 2\,\mathrm{Cl\cdot} \) (homolysis).
Propagation:
\[
\begin{aligned}
\mathrm{Cl\cdot + CH_4} &\rightarrow \mathrm{HCl + CH_3\cdot} \\
\mathrm{CH_3\cdot + Cl_2} &\rightarrow \mathrm{CH_3Cl + Cl\cdot}
\end{aligned}
\]
Termination: Radical–radical coupling (e.g., \( \mathrm{Cl\cdot + Cl\cdot \rightarrow Cl_2} \)).
Step 3: Conclusion.
Thus, the process is free radical substitution.
Final Answer:
\[
\boxed{\text{Free radical substitution mechanism}}
\]