Abstract
Both the first and the second derivatives of the chemical potential with respect to the temperature, for any system of noninteracting bosons, are shown to be negative. For noninteracting fermions, these derivatives can be either negative or positive, but for generic spectra they are both negative at higher temperatures.
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Acknowledgements
JK thanks Mr. Bowen YU, a second year undergraduate at the Materials Science and Engineering program at GTIIT, Shantou, for pointing out reference [4], and Professor Saar Rahav of the Technion, Haifa, for helpful discussions.
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Katriel, J., Zhang, H. First and Second Derivatives of the Chemical Potential for Noninteracting Particles. J Low Temp Phys 202, 263–268 (2021). https://doi.org/10.1007/s10909-020-02525-z
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DOI: https://doi.org/10.1007/s10909-020-02525-z