Parastatistics and the equation of state for the early universe

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Big Bang Cosmology, Cosmic Gases, Equations Of State, Quantum Statistics, Universe, Distribution Functions, Fermions, Quarks, Recursive Functions, Relativity, Statistical Correlation, Statistical Mechanics

Scientific paper

The equation of state for an ideal mixture of relativistic quantum gases obeying any (para-)statistics is given. Recursion formulae are obtained for the distribution function and correlations are analysed. The equation of state can be applied to the early Universe, allowing the quarks to be treated either as coloured fermions or (unequivalently) as parafermions of order 3. In the latter case, they exhibit a tendency to aggregate into triads by a mere statistical effect.

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