Why does constant entropy imply an acceleration potential?

[babamarysol]

Why constant entropy ($$\dot{S}=0$$) implies the existence of a acceleration potential?

 

[Naty1]

Never heard of such a thing...can you explain??

What is "acceleration potential"?

Entropy, in the form of temperature, and acceleration can be generally related via the Unruh effect ...
It is the prediction that an accelerating observer will observe black-body radiation where an inertial observer would observe none.
http://en.wikipedia.org/wiki/Unruh_effect

 

[babamarysol]

I'm studying Cosmology and i believe that this potential is like that of Hydrodynamics theory since we consider a perfect fluid to approximate the matter in the universe...

 

[Naty1]

well if you are studying cosmology, you probably know the entropy of the universe is increasing over time...

if that is a dot over the "S" in your post, meaning the time derivative, It probably isn't zero for all time...but could that be an approximation for a short time period??



Maybe this will give you some insights:
http://en.wikipedia.org/wiki/Heat_death_of_the_universe