Abstract

The rearrangement of initial magnetic polarizations in a small isolated spin system does notlead to a uniform distribution as required by the microcanonical ensemble, but to a distributionof intermediate entropy as required by the initial conditions and auxiliary constants of themotion. The final equilibriumstate and the time to reach it are defined uniquely because of thefinite number of discrete quantum states in such a system. Is such a system ergodic?

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