2025/05/06 by Maryam Seifi, Seifi, Maryam, Zahra Ebadi +7 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy
paper · doi:10.48550/arxiv.2505.03486
The thermodynamic parameter space is flat for an ideal classical gas with non-interacting particles. In contrast, for an ideal quantum Bose (Fermi) gas, the thermodynamic curvature is positive (negative), indicating intrinsic attractive (repulsive) interactions. We generalize the classical Maxwell-Boltzmann distribution by employing a generalized form of the exponential function, proposing the Mittag-Leffler Maxwell-Boltzmann distribution within the framework of superstatistics. We demonstrate that the generalization parameter, α, quantifies the statistical interaction. When α= 1, the distribution coincides with the standard classical Maxwell-Boltzmann distribution, where no statistical interaction is present. For 0 < α< 1 (α> 1), the statistical interaction is repulsive (attractive), corresponding to a negative (positive) thermodynamic curvature of the system.