Abstract
In this paper, we analyze the relationship between entropy and information in
the context of the mixing process of two identical ideal gases. We will argue
that entropy has an information-based feature that is enfolded in the
statistical entropy, but the second law does not include it directly.
Therefore, in some given processes in thermodynamics where there is no matter
and energy interaction between the system and the environment, the state of the
system may goes towards a situation of lower probability to increase observer's
information in the environment. This is a kind of an information-based
interaction in which the total entropy is not constrained by the second law.
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