Bohmian mechanics description of a large number of interacting atoms would require a large phase space due to the large number of classical degrees of freedom. The entropy per atom is given as the logarithm of the volume of the phase space of states that are accessible at thermal equilibrium. An atom's heat capacity is close to $k_B$, but Bohm's theory seems to be in conflict with this. If there is a way to compute an atom's heat capacity in Bohm's theory in a natural way that doesn't include some ad-hoc solution which will conflict with other kinds of physics experiments, I'm curious to see the calculation.
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