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arxiv: 1109.0487 · v1 · pith:SOFGU3TQnew · submitted 2011-08-30 · 🌌 astro-ph.CO · cond-mat.stat-mech· gr-qc

Note on the chemical potential of decoupled matter in the Universe

classification 🌌 astro-ph.CO cond-mat.stat-mechgr-qc
keywords alphachemicaldecoupledmatterpotentialbose-einsteinconnectedcosmology
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Textbooks on cosmology exhibit a thermodynamic inconsistency for free streaming, decoupled matter. It is connected here to the chemical potential, which deviates from its equilibrium value $\mu=\alpha k_BT$, where $\alpha$ is the usual parameter of the Fermi-Dirac or Bose-Einstein distribution function.

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