  The resolution of the Maxwell's demon paradox linked thermodynamics with
information theory through information erasure principle. By considering a
demon endowed with a Turing-machine consisting of a memory tape and a
processor, we attempt to explore the link towards the foundations of
statistical mechanics and to derive results therein in an "operational" manner.
Here, we present a derivation of the Boltzmann distribution in equilibrium as
an example, without hypothesizing the principle of maximum entropy. Further,
since the model can be applied to non-equilibrium processes, in principle, we
demonstrate the dissipation-fluctuation relation to show the possibility in
this direction.
