The third law of thermodynamics. Capitulation of entropy

Abstract

It is obvious that as temperature decreases, the entropy S plays a smaller and smaller role in minimizing the available free energy $\mathfrak{A}$. This is so, because entropy enters into $\mathfrak{A}$ as —TS. However, the 3^rd law implies more: The entropy S(T,p) itself tends to zero with T, irrespective of p. This is so, because even tiny potential barriers between different states become unsurmountable for the body when the thermal motion becomes ever weaker.