# Second law of thermodynamics and motion

The second law of thermodynamics states that the entropy of an isolated system never decreases, because isolated systems spontaneously evolve toward thermodynamic equilibrium—the state of maximum entropy.

So imagine a box where there are lot of atoms with different temperatures, they will start to move and the temperature will start to come to a number k. Similarly entropy will start to increase to a number x, and it wouldn't increase after it reaches the maximum entropy. What I ask is will atoms in those boxes stop moving if entropy reaches the maximum since the system couldn't get more disordered?

Thank you.

• The second law implies that "the entropy of an isolated system never decreases", but it $does~not~state~it$. Such statement is trivial, since entropy of isolated system is constant. The second law is more general than that. It has many formulations, one of which is "heat cannot spontaneously move from colder to warmer body". The statement "isolated systems spontaneously evolve toward thermodynamic equilibrium" was argued to be independent of 2nd law and was called the Minus First Law of thermodynamics. See philsci-archive.pitt.edu/313/1/engtot.pdf – Ján Lalinský Dec 30 '13 at 15:27