The primary difference between lithospheric and asthenospheric mantle is their physical properties. The lithospheric mantle is a rigid, solid layer of the Earth's mantle that makes up the outermost layer of the Earth's surface, while the asthenospheric mantle is a more ductile, partially molten layer of the mantle that lies beneath the lithosphere.
This difference in physical properties gives rise to numerous different patterns of physical behavior. The rigidity of the lithospheric mantle allows it to be broken into plates that move around the Earth's surface due to plate tectonics, while the ductility of the asthenospheric mantle allows it to flow and convect, which contributes to the motion of the plates.
Furthermore, the lithospheric mantle is colder and more brittle than the asthenospheric mantle, which affects how it responds to stresses and strains. The asthenospheric mantle is more ductile and can flow more easily, which allows it to accommodate stresses and strains more readily. Overall, these differences in physical properties give rise to the complex and varied behavior of the Earth's mantle, including plate tectonics, earthquakes, and volcanic eruptions.