  This work is devoted to the thermodynamics description of a phantom scenario
proposed previously by the authors. The presence of negative chemical potential
is unavoidable if we allege for a well defined thermodynamics framework since
the cosmological model passages from phantom stage at present time to a future
de Sitter evolution. As noted earlier in other works, we find that the
negativity of the chemical potential is necessary to save phantom dark energy
from thermodynamics inconsistencies.
