The OP, who is a physicist, asks:
Is there a word for the action of moving through the easiest path?
I've found "desire path" or "trail blazing", which comes close to the
concept I'm looking for, but it lacks any amount of poetry.
I suggest the primrose path, which comes from Shakespeare. A problem with my answer is immediately obvious in the last six words in this definition from Wikipedia:
The primrose path refers to a life of ease and pleasure, or to a
course of action that seems easy and appropriate but can actually end
in calamity. (emphasis added).
If I knew how to put the last six words in tiny type, I would have. But physicists have had no problem with co-opting English words and assigning completely different meanings to them: color, charm, flavor. Thus, I see no reason why the OP physicist could not co-opt the primrose path and change its meaning to omit the bad consequences of tripping along it.
From The Phrase Finder
I shall the effect of this good lesson keep,
As watchman to my heart. But, good my brother,
Do not, as some ungracious pastors do,
Show me the steep and thorny way to heaven;
Whiles, like a puff'd and reckless libertine,
Himself the primrose path of dalliance treads,
And recks not his own rede