So if T>0, by ST's statement there is plenty of available energy in the system to change its entropy, and nothing to stop it.The gradient is d height/ d distance .Temperature is the amount of energy required to change the entropy by one bit.So the entropy of an object at constant temperature is continually changing? Welcome to the world of Hamdani Yusuf!
That doesn't mean that all hills are moving.
That's not H Y's world, nor S T's world.
It's only in your world.