WallGo.results.WallGoResults

class WallGoResults[source]

Bases: object

Compiles output results for users of WallGo

Return type:: None

Methods

`__init__`()
`setBoltzmannBackground`(boltzmannBackground)	Set Boltzmann background results
`setBoltzmannResults`(boltzmannResults)	Set Boltzmann results
`setFiniteDifferenceBoltzmannResults`(...)	Set finite difference Boltzmann results
`setHydroResults`(hydroResults)	Set hydrodynamics results
`setSuccessState`(success, solutionType, message)	Set the termination message, the success flag and the solution type.
`setViolationOfEMConservation`(...)	Set the violation of energy-momentum conservation results
`setWallParams`(wallParams)	Set wall parameters results
`setWallVelocities`(wallVelocity, ...)	Set wall velocity results

Attributes

`wallVelocity`	Bubble wall velocity \(v_w\).
`wallVelocityError`	Estimated error in bubble wall velocity \(\delta v_w\).
`wallVelocityLTE`	Bubble wall velocity in local thermal equilibrium \(v_w^\text{LTE}\).
`temperaturePlus`	Temperature in front of the bubble, \(T_+\), from hydrodynamic matching conditions.
`temperatureMinus`	Temperature behind the bubble, \(T_-\), from hydrodynamic matching conditions.
`velocityJouguet`	Jouguet velocity, \(v_J\), the smallest velocity for a detonation.
`wallWidths`	Bubble wall widths in each field direction, \(L_i\).
`wallOffsets`	Bubble wall offsets in each field direction, \(\delta_i\).
`velocityProfile`	Fluid velocity as a function of position, \(v_\text{pl}(\xi)\).
`fieldProfiles`	Field profile as a function of position, \(\phi_i(\xi)\).
`temperatureProfile`	Temperarture profile as a function of position, \(T(\xi)\).
`linearizationCriterion1`	Ratio of out-of-equilibrium and equilibrium pressures, \(\|P[\delta f]\| / \|P[f_\text{eq}]\|\).
`eomResidual`	Residual of the EOM due to the tanh ansatz.
`linearizationCriterion2`	Ratio of the first-order correction due to nonlinearities and total pressure computed by WallGo, \(\|P[\delta f_2]\| / \|P[f_\text{eq}+\delta f]\|\).
`deltaF`	Deviation of probability density function from equilibrium, \(\delta f(\xi, p_z, p_\parallel)\).
`Deltas`	Relativistically invariant integrals over \(\mathcal{E}_\text{pl}^{n_\mathcal{E}}\mathcal{P}_\text{pl}^{n_\mathcal{P}}\delta f\).
`truncationError`	Estimated relative error in \(\delta f\) due to truncation of spectral expansion.
`deltaFFiniteDifference`	Deviation of probability density function from equilibrium, \(\delta f(\xi, p_z, p_\parallel)\), using finite differences instead of spectral expansion.
`DeltasFiniteDifference`	Relativistically invariant integrals over \(\mathcal{E}_\text{pl}^{n_\mathcal{E}}\mathcal{P}_\text{pl}^{n_\mathcal{P}}\delta f\), using finite differences instead of spectral expansion.
`violationOfEMConservation`	RMS along the grid of the violation of the conservation of the components T30 and T33 of the energy-momentum tensor.
`solutionType`	Describes the type of solution obtained.
`success`	Whether or not the calculation was successful.
`message`	Description of the cause of the termination.

Deltas: BoltzmannDeltas: Relativistically invariant integrals over \(\mathcal{E}_\text{pl}^{n_\mathcal{E}}\mathcal{P}_\text{pl}^{n_\mathcal{P}}\delta f\).

DeltasFiniteDifference: BoltzmannDeltas: Relativistically invariant integrals over \(\mathcal{E}_\text{pl}^{n_\mathcal{E}}\mathcal{P}_\text{pl}^{n_\mathcal{P}}\delta f\), using finite differences instead of spectral expansion.

deltaF: ndarray: Deviation of probability density function from equilibrium, \(\delta f(\xi, p_z, p_\parallel)\).

deltaFFiniteDifference: ndarray: Deviation of probability density function from equilibrium, \(\delta f(\xi, p_z, p_\parallel)\), using finite differences instead of spectral expansion.

eomResidual: ndarray

Residual of the EOM due to the tanh ansatz. There is one element for each scalar field. It is estimated by the integral

\[\sqrt{\Delta[\mathrm{EOM}^2]/|\mathrm{EOM}^2|}\]

with

\[\Delta[\mathrm{EOM}^2]=\int\! dz\, (-\partial_z^2 \phi+ \partial V_{\mathrm{eq}}/ \partial \phi+ \partial V_{\mathrm{out}}/ \partial \phi )^2\]

and

\[|\mathrm{EOM}^2|=\int\! dz\, [(\partial_z^2 \phi)^2+ (\partial V_{\mathrm{eq}}/ \partial \phi)^2+ (\partial V_{\mathrm{out}}/ \partial \phi)^2].\]

fieldProfiles: Fields: Field profile as a function of position, \(\phi_i(\xi)\).

linearizationCriterion1: float: Ratio of out-of-equilibrium and equilibrium pressures, \(|P[\delta f]| / |P[f_\text{eq}]|\).

linearizationCriterion2: float: Ratio of the first-order correction due to nonlinearities and total pressure computed by WallGo, \(|P[\delta f_2]| / |P[f_\text{eq}+\delta f]|\).

message: str: Description of the cause of the termination.

setBoltzmannBackground(boltzmannBackground)[source]

Set Boltzmann background results

Parameters:: boltzmannBackground (BoltzmannBackground)
Return type:: None

setBoltzmannResults(boltzmannResults)[source]

Set Boltzmann results

Parameters:: boltzmannResults (BoltzmannResults)
Return type:: None

setFiniteDifferenceBoltzmannResults(boltzmannResults)[source]

Set finite difference Boltzmann results

Parameters:: boltzmannResults (BoltzmannResults)
Return type:: None

setHydroResults(hydroResults)[source]

Set hydrodynamics results

Parameters:: hydroResults (HydroResults)
Return type:: None

setSuccessState(success, solutionType, message)[source]

Set the termination message, the success flag and the solution type.

Parameters:

success (bool)
solutionType (ESolutionType)
message (str)

Return type:

None

setViolationOfEMConservation(violationOfEMConservation)[source]

Set the violation of energy-momentum conservation results

Parameters:: violationOfEMConservation (Tuple[float, float])
Return type:: None

setWallParams(wallParams)[source]

Set wall parameters results

Parameters:: wallParams (WallParams)
Return type:: None

setWallVelocities(wallVelocity, wallVelocityError, wallVelocityLTE)[source]

Set wall velocity results

Parameters:

wallVelocity (float | None)
wallVelocityError (float | None)
wallVelocityLTE (float | None)

Return type:

None

solutionType: ESolutionType: Describes the type of solution obtained. Must be a ESolutionType object. The function WallGoManager.solveWall() will return DEFLAGRATION if a solution was found and RUNAWAY otherwise. The function WallGoManager.solveWallDetonation() will return DETONATION if a solution was found. Otherwise, it returns RUNAWAY if the pressure is negative everywhere between vJ and 1, DEFLAGRATION if the pressure is always positive, and DEFLAGRATION_OR_RUNAWAY if the pressure is positive at vJ and negative at 1 and no stable solution was found. In both cases, returns ERROR if success=False.

success: bool: Whether or not the calculation was successful. Will still be True if no solution was found, as long as no error happened along the way.

temperatureMinus: float: Temperature behind the bubble, \(T_-\), from hydrodynamic matching conditions.

temperaturePlus: float: Temperature in front of the bubble, \(T_+\), from hydrodynamic matching conditions.

temperatureProfile: ndarray: Temperarture profile as a function of position, \(T(\xi)\).

truncationError: float: Estimated relative error in \(\delta f\) due to truncation of spectral expansion.

velocityJouguet: float: Jouguet velocity, \(v_J\), the smallest velocity for a detonation.

velocityProfile: ndarray: Fluid velocity as a function of position, \(v_\text{pl}(\xi)\).

violationOfEMConservation: Tuple[float, float]: RMS along the grid of the violation of the conservation of the components T30 and T33 of the energy-momentum tensor.

wallOffsets: ndarray: Bubble wall offsets in each field direction, \(\delta_i\).

wallVelocity: float | None: Bubble wall velocity \(v_w\). None if no solution was found.

wallVelocityError: float | None: Estimated error in bubble wall velocity \(\delta v_w\). None if no solution was found.

wallVelocityLTE: float | None: Bubble wall velocity in local thermal equilibrium \(v_w^\text{LTE}\). None when looking for a detonation solution, since no detonation exists in LTE.

wallWidths: ndarray: Bubble wall widths in each field direction, \(L_i\).