neutralBoltzmannUpdater

neutralBoltzmannUpdater

Works with VSimPD license.

MultiField updater that computes the electrostatic potential satisfying the Boltzmann relation. It reads a charge density field \(\rho\) and updates a potential field.

\[\phi = - T_{0}\ ln\Big(\dfrac{\rho}{n_{0}q_{0}}\Big) - \phi_{0}\]

neutralBoltzmannUpdater Parameters

The neutralBoltzmannUpdater takes the lowerBounds and upperBounds parameters of FieldUpdater, as well as the following parameters:

readFields (required string vector): A single element, the name of the field containing the charge density in component 0.

writeFields (required string vector): A single element, the name of field to update. Component 0 of this field will be updated with the electrostatic potential.

n0 (required float): Background density in #/m³.

T0 (required float): Temperature (in eV).

q0 (required float): Charge of electron.

phi0 (required float): Constant offset to electrostatic potential.

mion (required float): (not used).

mindensity (required float): Lowest density allowed.

Example neutralBoltzmannUpdater Block

<FieldUpdater esSolve>
  kind = neutralBoltzmannUpdater

  n0 = ELECDENS
  T0 = ELECTEMPERATURE
  q0 = ELECCHARGE
  phi0 = 4.6
  mindensity = NP2C

  lowerBounds = [0 0 0]
  upperBounds = [NX NY NZ]
  readFields  = [rhoJ]
  writeFields = [phi]
</FieldUpdater>