l0 = np.pi # Box Length t0 = l0 / v0 # Setting the length of the box: L_x = L_y = l0 # Setting delta_v of the Phase Space Grid: v_max_e = 0.22 * v0 v_max_i = 0.07 * v0 # Calculating Permittivity: c = 5 * v0 eps = 1 / (c**2 * mu) # Velocity Scales: thermal_speed = velocity_scales.thermal_speed(temperature_background, m0, k0) sound_speed = velocity_scales.sound_speed(temperature_background, k0, gamma) alfven_velocity = velocity_scales.alfven_velocity(B0, density_background, m0, mu) # Length scales: debye_length = length_scales.debye_length(density_background, temperature_background, e0, k0, eps) skin_depth = length_scales.skin_depth(density_background, e0, c, m0, eps) gyroradius = length_scales.gyroradius(velocity_scales.thermal_speed(temperature_background, m0, k0), B0, e0, m0) # Time scales: plasma_frequency = time_scales.plasma_frequency(density_background, e0, m0, eps) cyclotron_frequency = time_scales.cyclotron_frequency(B0, e0, m0) alfven_crossing_time = time_scales.alfven_crossing_time(min(L_x, L_y), B0, density_background, m0, mu) sound_crossing_time = time_scales.sound_crossing_time(min(L_x, L_y), temperature_background, k0, gamma) # Setting amplitude and wave number for perturbation:
l0 = (2 * np.pi / 0.5) # Box Length
t0 = l0 / v0
# Setting the length of the box:
L_x = L_y = l0
# Setting delta_v of the Phase Space Grid:
v_max_e = 0.22 * v0
v_max_i = 0.07 * v0
# Calculating Permittivity:
c = 5 * v0
eps = 1 / (c**2 * mu)
# Velocity Scales:
thermal_speed = velocity_scales.thermal_speed(temperature_background, m0, k0)
sound_speed = velocity_scales.sound_speed(temperature_background, k0, gamma)
alfven_velocity = velocity_scales.alfven_velocity(B0, density_background, m0,
mu)
# Length scales:
debye_length = length_scales.debye_length(density_background,
temperature_background, e0, k0, eps)
skin_depth = length_scales.skin_depth(density_background, e0, c, m0, eps)
gyroradius = length_scales.gyroradius(
velocity_scales.thermal_speed(temperature_background, m0, k0), B0, e0, m0)
# Time scales:
plasma_frequency = time_scales.plasma_frequency(density_background, e0, m0,
eps)
cyclotron_frequency = time_scales.cyclotron_frequency(B0, e0, m0)
# Mass ~ m_p; m_p = |m_p| units(m_p) # Electric charge ~ e; e = |e| units(e) # Boltzmann const ~ k; k = |k| units(k) # Vacuum perm ~ eps0; eps0 = |eps0| units(eps0) # Now choosing units: n0 = 1 # |n| units(n) T0 = 1 # |T| units(T) m0 = 1 # |m_p| units(m) e0 = 1 # |e| units(e) k0 = 1 # |k| units(k) eps = 1 # |eps0| units(eps0) mu = 1 l0 = length_scales.debye_length(n0, T0, e0, k0, eps) v0 = velocity_scales.thermal_speed(T0, m0, k0) t0 = 1 / time_scales.plasma_frequency(n0, e0, m0, eps) # Dimensionality considered in velocity space: p_dim = 1 # Number of devices(GPUs/Accelerators) on each node: num_devices = 1 # Constants: m1 = 1 * m0 m2 = 1 * m0 mass = [m1, m2] # m_e, m_i boltzmann_constant = k0 charge = [-1 * e0, 1 * e0] # e_e, e_i
l0 = v0 * t0 # ion skin depth
# Setting lengths of the domain:
L_x = 5 * l0
L_y = 100 * l0
# Setting Maximum Velocities of Phase Space Grid:
v_max_e = 0.0025 # Setting this value depending upon temperature. Can be later determined in terms of v0
v_max_i = 0.00027 # Setting this value depending upon temperature. Can be later determined in terms of v0
# Setting permeability:
c = v_max_e # |c| units(c)
eps = 1 / (c**2 * mu)
# Velocity Scales:
thermal_speed = velocity_scales.thermal_speed(T_background, m0, k0)
sound_speed = velocity_scales.sound_speed(T_background, k0, gamma)
alfven_velocity = velocity_scales.alfven_velocity(B0, n_background, m0, mu)
# Length scales:
debye_length = length_scales.debye_length(n_background, T_background, e0, k0,
eps)
skin_depth = length_scales.skin_depth(n_background, e0, c, m0, eps)
gyroradius = length_scales.gyroradius(
velocity_scales.thermal_speed(T_background, m0, k0), B0, e0, m0)
# Time scales:
plasma_frequency = time_scales.plasma_frequency(n_background, e0, m0, eps)
cyclotron_frequency = time_scales.cyclotron_frequency(B0, e0, m0)
alfven_crossing_time = time_scales.alfven_crossing_time(
min(L_x, L_y), B0, n_background, m0, mu)
