Thermodynamics for Fractional Exclusion Statistics
Serguei B. Isakov, Daniel P. Arovas, Jan Myrheim, Alexios P., Polychronakos (Ctr. Advanced Study, Oslo)
TL;DR
This paper explores the thermodynamics of particles obeying fractional exclusion statistics, deriving key equations and showing certain temperature-dependent properties are independent of the statistics parameter.
Contribution
It provides exact equations of state for gases with constant density of states and analyzes the impact of exclusion statistics on thermodynamic properties.
Findings
Temperature-dependent quantities are independent of the statistics parameter.
Derived exact equations of state for specific gas models.
Provided low temperature and low density expansions.
Abstract
We discuss the thermodynamics of a gas of free particles obeying Haldane's exclusion statistics, deriving low temperature and low density expansions. For gases with a constant density of states, we derive an exact equation of state and find that temperature-dependent quantities are independent of the statistics parameter.
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