🧲 Add toroidal beta and field profile output

[chris-ashe]

This pull request adds new plasma physics profile variables and corresponding plotting capabilities, enhancing the ability to visualize and analyze spatial variations of key plasma parameters. The main changes include the introduction and calculation of toroidal magnetic field and thermal beta profiles across the plasma, updates to the data structure to support these profiles, and new plotting functions to visualize them. Additionally, existing pressure profile handling has been refactored for clarity and consistency.

❇️ New variables

• b_plasma_toroidal_profile
• beta_thermal_toroidal_profile

Physics variable enhancements:

• In the physics calculation routine, the toroidal magnetic field profile is now computed across the plasma using a 1/R dependence, and the inboard/outboard values are explicitly calculated. The thermal beta profile is also computed using mirrored pressure profiles to match the doubled spatial resolution.

Plotting improvements:

• Added two new plotting functions in plot_proc.py: plot_magnetic_fields_in_plasma (visualizes the toroidal magnetic field profile and key values across the plasma radius) and plot_beta_profiles (plots the thermal beta profile and its volume-averaged value).
• Integrated these new plots into the main plotting workflow, allocating a new figure for them and ensuring they are included in the generated PDF and closed at the end.

Pressure profile refactor:

• Renamed and updated the pressure profile variable from pres_plasma_total_profile to pres_plasma_thermal_total_profile throughout the codebase for clarity. All relevant plotting and initialization code has been updated to use the new variable.

Figure management updates:

• Adjusted figure and subplot assignments in the main plotting routine to accommodate the new plots and maintain layout consistency.

These changes improve the code's ability to model, analyze, and visualize detailed spatial profiles of important plasma physics quantities, supporting deeper analysis and improved presentation of simulation results.

Checklist

I confirm that I have completed the following checks:

• My changes follow the PROCESS style guide
• I have justified any large differences in the regression tests caused by this pull request in the comments.
• I have added new tests where appropriate for the changes I have made.
• If I have had to change any existing unit or integration tests, I have justified this change in the pull request comments.
• If I have made documentation changes, I have checked they render correctly.
• I have added documentation for my change, if appropriate.

[codecov-commenter]

Codecov Report

❌ Patch coverage is 18.75000% with 78 lines in your changes missing coverage. Please review.
✅ Project coverage is 46.01%. Comparing base (45ac7e9) to head (43cb57f).
⚠️ Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
process/io/plot_proc.py	3.07%	63 Missing ⚠️
process/physics.py	6.25%	15 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3946      +/-   ##
==========================================
- Coverage   46.06%   46.01%   -0.05%     
==========================================
  Files         123      123              
  Lines       28465    28541      +76     
==========================================
+ Hits        13112    13134      +22     
- Misses      15353    15407      +54     

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.

[j-a-foster]

Happy with code and plot proc changes.