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Creating collisional excitation/deexcitation coefficient matrix for NLTE excitation treatment #2385

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67 changes: 67 additions & 0 deletions tardis/plasma/properties/nlte_rate_equation_solver.py
Original file line number Diff line number Diff line change
Expand Up @@ -857,3 +857,70 @@ def prepare_r_uls_r_lus(
r_lu_matrix,
)
# TODO: beta sobolev needs to be recalculated for each iteration, because it depends on number density

@staticmethod
def create_coll_exc_deexc_matrix(
coll_exc_coefficient,
coll_deexc_coefficient,
number_of_levels,
):
"""Generates a coefficient matrix from collisional excitation/deexcitation coefficients.

Needs to be multiplied by electron density when added to the overall rate_matrix.
Parameters
----------
coll_exc_coefficient : pandas.Series
Series of collisional excitation coefficients for current (atomic number, ion_number)
in the current shell.
coll_deexc_coefficient : pandas.Series
Series of collisional deexcitation coefficients for (atomic number, ion_number)
in the current shell.
number_of_levels : int
Number of levels for the current atomic number, ion number.

Returns
-------
coeff_matrix : np.array (number of levels, number of levels)
Square matrix constructed by collisional exc./deexc. coefficients.
"""
diagonal_exc = np.zeros(number_of_levels)
diagonal_deexc = np.zeros(number_of_levels)
col_exc_coefficient_sum_lower = coll_exc_coefficient.groupby(
"level_number_lower"
).sum()
col_deexc_coefficient_sum_upper = coll_deexc_coefficient.groupby(
"level_number_upper"
).sum()

diagonal_exc[col_exc_coefficient_sum_lower.index] = (
-1 * col_exc_coefficient_sum_lower.values
)
diagonal_deexc[col_deexc_coefficient_sum_upper.index] = (
-1 * col_deexc_coefficient_sum_upper.values
)
exc_matrix = np.zeros((number_of_levels, number_of_levels))
deexc_matrix = np.zeros((number_of_levels, number_of_levels))
exc_matrix[
(
coll_exc_coefficient.index.get_level_values(
"level_number_upper"
),
coll_exc_coefficient.index.get_level_values(
"level_number_lower"
),
)
] = coll_exc_coefficient.values
deexc_matrix[
(
coll_exc_coefficient.index.get_level_values(
"level_number_lower"
),
coll_exc_coefficient.index.get_level_values(
"level_number_upper"
),
)
] = coll_deexc_coefficient.values
np.fill_diagonal(exc_matrix, diagonal_exc)
np.fill_diagonal(deexc_matrix, diagonal_deexc)
coeff_matrix = exc_matrix + deexc_matrix
return coeff_matrix
49 changes: 49 additions & 0 deletions tardis/plasma/tests/test_nlte_excitation.py
Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
import pandas as pd
import numpy as np
import pytest
from numpy.testing import assert_allclose


Expand Down Expand Up @@ -116,3 +117,51 @@ def test_prepare_bound_bound_rate_matrix(
np.array(actual_rate_matrix),
rtol=1e-6,
)


@pytest.mark.parametrize(
[
"coll_exc_coeff_values",
"coll_deexc_coeff_values",
"number_of_levels",
"desired_coeff_matrix",
],
[
(
[1, -2, 3],
[4, 9, 10],
3,
[[1.0, 4.0, 9.0], [1.0, -7.0, 10.0], [-2.0, 3.0, -19.0]],
),
(
[0.21, 0.045, 0.1234],
[0.7865, 0.987, 0.00123],
3,
[
[-0.255, 0.7865, 0.987],
[0.21, -0.9099, 0.00123],
[0.045, 0.1234, -0.98823],
],
),
],
)
def test_coll_exc_deexc_matrix(
coll_exc_coeff_values,
coll_deexc_coeff_values,
number_of_levels,
desired_coeff_matrix,
):
"""
Checks the NLTERateEquationSolver.create_coll_exc_deexc_matrix for simple values of species with 3 levels.
NOTE: Values used for testing are not physical.
"""
index = pd.MultiIndex.from_tuples(
[(0, 1), (0, 2), (1, 2)],
names=["level_number_lower", "level_number_upper"],
)
exc_coeff = pd.Series(coll_exc_coeff_values, index=index)
deexc_coeff = pd.Series(coll_deexc_coeff_values, index=index)
obtained_coeff_matrix = NLTERateEquationSolver.create_coll_exc_deexc_matrix(
exc_coeff, deexc_coeff, number_of_levels
)
assert_allclose(obtained_coeff_matrix, desired_coeff_matrix)