Hello,
While I'm not very knowledgeable about Physics, I do know a few things about cars, so I hope the following is helpful.
First, there are many different configurations of AWD and 4WD systems. Each one has its own inherent characteristics, which also can create flaws or weakness that can be exploited under specific conditions.
Now, more modern AWD systems have an increasing amount of electronic monitoring and computer control, which can offset or sometimes completely overcome such flaws. At the least, a modern system will have individual wheel speed sensors feeding data to the computer, which will interpret other data (such as throttle position, and gear selection among other things) to make a "decision" on how and where to distribute torque.
Let's take a step back. Are you familiar with how a differential works? At a basic level, there are "open" differentials (generally the most common), "limited slip", and "Lockers" as I would describe it. I know the basics, but would recommend you read up and understand differentials. I wouldn't want to steer you wrong by trying to describe them here.
Also, up until recently, the transmission (whether automatic or manual) didn't have a whole lot to do with the actual distribution of torque throughout the AWD system. It functioned more independently at its role. Now with more modern vehicles, the transmission is again a more integral part of the whole system. Particularly with a trans axle, the differential is usually integrated, and thus becomes part of the torque distributing process.
I'll wait for more direct questions before I keep rambling on.
I hope that helps somewhat.