The concept of temperature in a nonextensive scenario

Tsallis’ non-extensive thermostatistics (Tsallis et al., Physica A 261 (1998) 534; Tsallis, in: Abe, Okamoto (Eds.), Nonextensive Statistical Mechanics and its Applications, Lecture Notes in Physics, Springer, Berlin, 2000; Tsallis, Braz. J. Phys. 29 (1991) 1; Plastino and Plastino, in: Ludeña (Ed.), Condensed Matter Theories, Nova Science Publishers, New York, USA, 1996, p. 341; Plastino and Plastino, Braz. J. Phys. 29 (1999) 79) is by now recognized as a new paradigm for statistical mechanical considerations. In a nonextensive scenario, however, the concept of temperature should be handled with some care, as some difficulties ensue (Tsallis, 2000). In this work we discuss this problem and reach some useful conclusions.