depends on what source you use.
"An active compost pile should develop internal temperatures of 130 to 160F. If the pile is not heating properly, additional nitrogen may be added to supply the microbes or more organic material may be added to increase pile volume and allow for more efficient composting. Or, the pile may be too wet or too dry to allow for good aerobic decomposition." http://hflp.sdstate.edu/compost.htm my personal thinking is that yes maybe the very middle of the compost will get hot enough to kill the microbes in the middle of the pile. but if the pile is that big then there should be plenty of reserved good microbes that reside in the areas between the heat and the outside. also if it is getting that hot there must be something still in the middle that needs to be broken down and something that is breaking it down or that heat would not be produced. now I know that commercial composting operations have careful monitering and turning of the pile to expidite the process as much as possible but I am not sure it is of much value as a home composter as it is to a big commercial operation, unless you have the equipment and facilities to easily turn it.