modelFermiDiracIntegrals_Complete
Complete Fermi-Dirac Integrals
Extends from Modelica.Icons.Example (Icon for runnable examples).
Information
Example evaluation of complete Fermi-Dirac integrals, Fnu(x), using GSL function blocks.The F3/2(x) and F1/2(x) functions are related to the pressure and density, respectively, of an ensemble of non-relativistic fermions and can be used to determine part of the equation of state (EoS) of, say, conduction electrons in metals and plasmas (x = mu/k*T; see, e.g., §56 of Landau & Lifshitz, Statistical Physics Part 1, 1980). A comparison of F1/2(x) with its asymptotic forms (x<<-1 and x>>1) is also provided.
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Blocks.Sources.Ramp | ramp | ||
| GNU_ScientificLibrary.Blocks.specfunc.FermiDirac_Fhalf | fermiDirac_Fhalf | ||
| GNU_ScientificLibrary.Blocks.specfunc.FermiDirac_F3half | fermiDirac_F3half | ||
| GNU_ScientificLibrary.Blocks.specfunc.FermiDirac_Fn | fermiDirac_F0 | ||
| GNU_ScientificLibrary.Blocks.specfunc.FermiDirac_Fn | fermiDirac_F1 | ||
| GNU_ScientificLibrary.Blocks.specfunc.AsymptoticForms.FermiDirac_FnuAsymp | fermiDirac_FnuAsymp | ||
| Modelica.Blocks.Math.Add | diff | ||
| Modelica.Blocks.Math.Abs | abs_diff |