DoubleBetaTemperatureProfile#

class profiles.temperature.DoubleBetaTemperatureProfile(**kwargs)[source]#

Double Beta Temperature Profile.

This model combines two β-components to describe systems with two distinct thermal structures.

\[T(r) = T_0 \left(1 + \left(\frac{r}{r_c}\right)^2\right)^{-\beta_1} + T_1 \left(1 + \left(\frac{r}{r_c}\right)^2\right)^{-\beta_2}\]

Parameters

Name	Symbol	Description
`T_0`	\(T_0\)	Temperature of first component
`T_1`	\(T_1\)	Temperature of second component
`r_c`	\(r_c\)	Core radius (shared)
`beta_1`	\(\beta_1\)	Slope of first component
`beta_2`	\(\beta_2\)	Slope of second component

Methods

`__init__`(**kwargs)	Initialize a profile instance with specific parameter values.
`from_dict`(data)	Reconstruct a profile instance from a dictionary.
`from_hdf5`(h5obj[, name])	Reconstruct a profile from HDF5 attributes.
`from_json`(filepath)	Reconstruct a profile from a JSON file.
`from_yaml`(filepath)	Reconstruct a profile from a YAML file.
`get_derived_profile`(profile_name, **kwargs)	Access and instantiate a derived profile by name.
`get_expression_latex`([substitute])	Return the LaTeX representation of the profile's symbolic expression.
`get_output_units`(*argu)	Determine the output units of the operation given some set of input units.
`get_parameters_latex`()	Return a LaTeX table of the profile parameters.
`lambdify_expression`(expression)	Convert a symbolic expression into a callable function.
`list_derived_profiles`()	List all available derived profiles for this instance.
`substitute_expression`(expression)	Replace symbolic parameters with numerical values in an expression.
`to_dict`()	Serialize this profile to a minimal dictionary representation.
`to_hdf5`(h5obj[, name])	Store profile metadata into an HDF5 object as attributes.
`to_json`(filepath, **kwargs)	Serialize the profile to a JSON file.
`to_yaml`(filepath, **kwargs)	Serialize the profile to a YAML file.

Attributes

`AXES`
`DEFAULT_PARAMETERS`
`derived_profile_classes`	Get the available derived profile classes for this instance.
`parameter_symbols`	Get the symbolic representations of the coordinate system parameters.
`parameters`	The parameters of this coordinate system.
`variable_symbols`	The symbols representing each of the coordinate axes in this coordinate system.
`variables`	The axes names present in this coordinate system.