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Thu Dec 15 2022 22:08:09 GMT+0000 (Coordinated Universal Time)

Saved by @coreman #c++

# Define the grid
grid = initialize_grid()

# Set up the initial conditions for the fields and particles
fields = initialize_fields(grid)
particles = initialize_particles(grid)

# Loop over timesteps
while (time < end_time):
  
  # Advance the particles using the Lorentz force
  particles = push_particles(particles, fields, dt)

  # Update the fields based on the current particle positions and velocities
  fields = solve_fields(fields, particles, dt)

  # Deposit the particle currents onto the grid
  fields = deposit_currents(fields, particles)

  # Interpolate the fields at the particle positions
  fields_at_particles = interpolate_fields(fields, particles)

  # Compute the Lorentz force on the particles
  particles = compute_lorentz_force(particles, fields_at_particles)

  # Increment time
  time += dt
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A one-dimensional (1D) particle-in-cell (PIC) code for relativistic magnetohydrodynamics (RMHD) typically consists of the following components: A grid to discretize the 1D domain and store the fields and particles. Initialization routines to set up the initial conditions for the fields and particles. A particle pusher to advance the particles' positions and velocities in time using the Lorentz force. Field solvers to update the fields based on the current particle positions and velocities. A routine to deposit the particle currents onto the grid to update the fields. A routine to interpolate the fields at the particle positions to compute the Lorentz force on the particles. A time-stepping loop that integrates the equations of motion for the fields and particles. Here is an example of a pseudocode for a 1D RMHD PIC code:

https://chat.openai.com/chat