Derivatives

The derivatives output file will be provided if the options output_derivatives and the use_beta_equilibrium options are enabled. It contains the columns below:

Variable	Unit
Temperature (T)	MeV
Baryon chemical potential (\(\mu_B\))	MeV
Strange chemical potential (\(\mu_S\))	MeV
Electric charge chemical potential (\(\mu_Q\))	MeV
Baryon density (\(n_B\))	fm-3
Strange density (\(n_S\))	fm-3
Electric charge density (\(n_Q\))	fm-3
Speed of sound squared (\(c_s^2\))	c
1st baryon susceptibility (\(\chi_{B1}\))	fm-3
2nd baryon susceptibility (\(\chi_{B2}\))	MeV 2
3rd baryon susceptibility (\(\chi_{B3}\))	MeV

The baryon successibilities are defined as

\[\chi_{Bn} = \frac{\partial^n P}{\partial \mu_B^n},\]

and the speed of sound squared is defined as

\[c_s^2 = \frac{\partial P}{\partial \epsilon},\]

and is in units of the speed of light squared.