Non-Extensive Quantum Statistics with Particle - Hole Symmetry
arXiv:1412.2971 · doi:10.1016/j.physa.2015.01.072
Abstract
Based on Tsallis entropy and the corresponding deformed exponential function, generalized distribution functions for bosons and fermions have been used since a while. However, aiming at a non-extensive quantum statistics further requirements arise from the symmetric handling of particles and holes (excitations above and below the Fermi level). Naive replacements of the exponential function or cut and paste solutions fail to satisfy this symmetry and to be smooth at the Fermi level at the same time. We solve this problem by a general ansatz dividing the deformed exponential to odd and even terms and demonstrate that how earlier suggestions, like the kappa- and q-exponential behave in this respect.
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- An example of the interplay of nonextensivity and dynamics in the description of QCD matter
- Non-extensive distributions for a relativistic Fermi Gas
- Analysis on hadron spectra in heavy-ion collisions with a new non-extensive approach
- A note on the connection between non-additive entropy and -derivative
- Thermal Field Theory of the Tsallis statistics