Possible divergences in Tsallis' thermostatistics
La Plata National University and Argentina's National Research Council, (IFLP-CCT-CONICET) C. C. 727, 1900 La Plata, Argentina
Received: 7 November 2013
Accepted: 16 December 2013
Lutsko and Boon have shown via elegant theoretical reasoning (EPL, 95 (2011) 20006), that Tsallis' thermostatistics is affected by divergence problems. We explicitly verify such fact in trying to compute the nonextensive q-partition function for the harmonic oscillator in more than two dimensions. One can see that it indeed diverges. The appeal to the so-called q-Laplace transform, where the q-exponential function plays the role of the ordinary exponential, is seen to overcome the serious problem envisaged by Lutsko and Boon.
PACS: 05.20.-y – Classical statistical mechanics / 05.70.Ce – Thermodynamic functions and equations of state / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05)
© EPLA, 2013