The Intel® Pentium® Processor B970 and the Intel® Core™ i3-2310M Processor belong to the same Sandy Bridge platform but the Intel® Core™ i3-2310M Processor use Sockets FCBGA1023 or PPGA988.
If the two processors are using the same PPGA988 socket then it could be assumed that both should work fine. Unfortunately the processor compatibility is defined by the computer manufacturer according to their upgrade plans for the specific computer. Sometimes they limit the CPU upgradability options so the customers are forced to buy a new computer instead of upgrading just the CPU.
In general terms we can only say that if you already upgraded the lap top BIOS and the problem persists then this is either a compatibility issue or a mis-assembly problem.
You might want to try again the Intel® Core™ i3-2310M Processor in the old ASUS lap top jus to confirm that it is working fine. Also try back the Intel® Pentium® Processor B970 in the Samsung laptop. If both computers work fine with their original processor most likely you have a compatibility issue between the Samsung laptop BIOS and the Intel® Core™ i3-2310M Processor.
The solution for this will be given only by the computer manufacturer only.