1 research outputs found
Statistical mechanics in the context of special relativity
In the present effort we show that is the unique existing entropy obtained
by a continuous deformation of the Shannon-Boltzmann entropy and preserving unaltered its fundamental properties of concavity,
additivity and extensivity. Subsequently, we explain the origin of the
deformation mechanism introduced by and show that this deformation
emerges naturally within the Einstein special relativity. Furthermore, we
extend the theory in order to treat statistical systems in a time dependent and
relativistic context. Then, we show that it is possible to determine in a self
consistent scheme within the special relativity the values of the free
parameter which results to depend on the light speed and reduces
to zero as recovering in this way the ordinary statistical
mechanics and thermodynamics. The novel statistical mechanics constructed
starting from the above entropy, preserves unaltered the mathematical and
epistemological structure of the ordinary statistical mechanics and is suitable
to describe a very large class of experimentally observed phenomena in low and
high energy physics and in natural, economic and social sciences. Finally, in
order to test the correctness and predictability of the theory, as working
example we consider the cosmic rays spectrum, which spans 13 decades in energy
and 33 decades in flux, finding a high quality agreement between our
predictions and observed data.
PACS number(s): 05.20.-y, 51.10.+y, 03.30.+p, 02.20.-aComment: 17 pages (two columns), 5 figures, RevTeX4, minor typing correction