1 research outputs found
A critique of non-extensive q-entropy for thermal statistics
During the past dozen years there have been numerous articles on a relation
between entropy and probability which is non-additive and has a parameter
that depends on the nature of the thermodynamic system under consideration. For
this relation corresponds to the Boltzmann-Gibbs entropy, but for other
values of it is claimed that it leads to a formalism which is consistent
with the laws of thermodynamics. However, it is shown here that the joint
entropy for systems having {\it different} values of is not defined in this
formalism, and consequently fundamental thermodynamic concepts such as
temperature and heat exchange cannot be considered for such systems. Moreover,
for the probability distribution for weakly interacting systems does
not factor into the product of the probability distribution for the separate
systems, leading to spurious correlations and other unphysical consequences,
e.g. non-extensive energy, that have been ignored in various applications given
in the literature