Dark magnetism revisited

S. Martı́nez, F. Pennini and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2000, vol. 282, issue 1, 193-202

Abstract: Bacry [Phys. Lett. B 317 (1993) 523] showed that, on the basis of the deformed Poincaré group, special relativity yields a non-additive energy for large systems, i.e., a total energy (of the Universe) which would not be proportional to the number of particles. He consistently argued that this effect could explain (part of) the so-called dark matter. By considering non-interacting spins in the presence of an external magnetic field, it was shown in Portesi et al. [Phys. Rev. E 52 (1995) R3317] that Tsallis’ non-extensive thermostatistics could account for a possible “dark” magnetism (the apparent number of particles being different from the actual one). The work of Pennini et al. [Physica A 258 (1998) 446]; Tsallis et al. [Physica A 261 (1998) 534] uses the so-called “generalized” expectation values, that were for some time considered indispensable in dealing with Tsallis’ formalism. Lately, a different sort of expectation values has been regarded as being superior to the old generalized ones [Pennini et al., Physica A 258 (1998) 446; Tsallis et al., Physica A 261 (1998) 534]. We revisit the dark magnetism question in the light of this new way of computing mean values.

Keywords: Tsallis thermostatistics; Dark magnetism (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:282:y:2000:i:1:p:193-202

DOI: 10.1016/S0378-4371(00)00081-9

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