M. Portesi et al., NONEXTENSIVE THERMOSTATISTICS CAN YIELD APPARENT MAGNETISM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(4), 1995, pp. 3317-3320
Bacry [Phys. Lett. B 317, 523 (1993)] showed that, on the basis of a d
eformed Poincare group, special relativity yields a nonadditive energy
for large systems, i.e., a total energy (of the Universe) which would
not be proportional to the number of particles. He consistently argue
d that this effect could explain (part of) the so-called dark matter.
By considering noninteracting spins at thermal equilibrium in the pres
ence of an external magnetic field, we show here that the recently int
roduced nonextensive (nonadditive) thermostatistics could account for
a theoretically possible ''dark magnetism'' (the apparent number of sp
ins being smaller or larger than the actual one).