The thermal time constant of a cubic meter of silicon is 11,400 seconds.
The thermal time constant of a cubic 0.1 meter of silicon is 100X faster, at 114 seconds.
The thermal time constant of a cubic cm of silicon is another 100X faster, at 1.14 seconds.
The thermal time constant of a cubic millimeter of silicon is another 100X faster, at 0.0114 seconds (11.4 milliseconds).
This is beginning to get near the volume of silicon used in a power mos FET, but wrong shape factor. Lets continue on to 100 micron (0.1mm), which is the usual thickness of silicon wafers after backgrinding.
The thermal time constant of a cubic 100 micron of silicon is another 100X faster, at 0.114 ms or 114 microseconds.
But 10 micron distances are interesting, because that is often the sizes of various structures built in the top layer of silicon to allow FET gates to control conductivity.
The thermal time constant of a cubic 10 micron of silicon is another 100X faster, at 1.14 microsecond.