Linux如何为它的物理分配器分配内存?

I was recently delving into the details of Linux's memory management as I want to implement something similar for my own toy kernel, so I was hoping if someone who's familiar with the details could help me understand one thing. Apparently the physical memory manager is a buddy algorithm, which is further specialised to return blocks of pages of a particular order (0 to 9, with 0 being just a single page). For each order the blocks are stored as a linked list. Say if a block of order 5 is requested but is not found on the list of order 5 blocks, the algorithm searches for a block in order 6, splits it into two, gives the requested half and moves the other half an order lower (as it is half in size). What I don't get is how the kernel stores these structures, or how it allocates space for them. Since for order 0 pages you would need 1M entries (each is a 4KiB page), does it mean that the kernel allocates 1MiB * sizeof(struct page)? What about the blocks of order 1 and above? Does the kernel reuse allocated blocks by marking them as a higher order, and when it needs to split it in two just return the block and get one that is unused?I was recently delving into the details of Linu