Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-04-29
Physica A332 (2004) 230-248
Physics
Condensed Matter
Statistical Mechanics
v2: comparison with conventional results and validity of approximations clarified, typos corrected; accepted for publication i
Scientific paper
We discuss relevant aspects of the exact q-thermostatistical treatment for an ideal Fermi system. The grand canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q, and the ensuing statistics is derived. Special attention is paid to the mean occupation numbers of single-particle levels. Limiting instances of interest are discussed in some detail, namely, the thermodynamic limit, considering in particular both the high- and low-temperature regimes, and the approximate results pertaining to the case q \sim 1 (the conventional Fermi-Dirac statistics corresponds to q=1). We compare our findings with previous Tsallis' literature.
Martinez Servet
Pennini F.
Plastino Angel
Portesi Mariela
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