PlateauPowerLawLightcurve

class uvex_transients.models.lightcurves.generic.PlateauPowerLawLightcurve(**overrides: Parameter | Quantity | float | int)

A constant plateau followed by a power-law decline.

\[\begin{split}L(t) = A \begin{cases} 1, & 0 \le t \le t_\mathrm{break}, \\[4pt] \left(\dfrac{t}{t_\mathrm{break}}\right)^{-\alpha}, & t > t_\mathrm{break}. \end{cases}\end{split}\]

This provides a minimal phenomenological description of a transient with a sustained plateau followed by scale-free fading, such as some GRB afterglow and engine-powered transient light curves.

Parameters

The light curve parameters are summarized below.

Parameter	Symbol	Description
amplitude	\(A\)	Plateau bolometric luminosity.
t_break	\(t_\mathrm{break}\)	Time at which the plateau transitions to a power-law decline.
index	\(\alpha\)	Positive post-plateau power-law decline index.

Methods

eval(t, **parameters)	Evaluate the bolometric luminosity at the given time.
eval_cgs(t, **parameters)	Bolometric luminosity, taking and returning plain cgs numbers.
eval_from_arrays(t, *parameters)	Positional-argument form of eval().
eval_log(t, **parameters)	Natural log of the bolometric luminosity, given physical-unit inputs.
eval_log_cgs(t, **parameters)	Natural log of the bolometric luminosity, taking and returning plain cgs numbers.
get(k[,d])
items()
keys()
pack_params_to_arrays(**parameters)	Convert a dict of parameter values into an ordered sequence.
sample_parameters([size, rng, parameters])	Draw random samples of some or all of this model's parameters.
simulate(t[, size, rng])	Draw random parameter realizations and evaluate the model at the given time.
unpack_params_from_arrays(*parameters)	Convert an ordered sequence of parameter values back into a dict.
values()