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Equation Of State Parameter
Linked via "isentropic"
Equation of State in Fluid Dynamics (The Adiabatic Index Connection)
In traditional thermodynamics, the adiabatic index ($\gamma$) is often used for ideal gases, defined as the ratio of specific heats: $\gamma = CP / CV$. For systems undergoing isentropic (adiabatic) processes, the relationship between pressure and volume ($V$) is $PV^\gamma = \text{constant}$.
By relating this to the cosmological definition, we find that for an adiabatic process in a system governed by the …