calc_weight

static ThomasFermi.calc_weight(physics, p_WKB, energy_matrix, approximate_charges, u, v)

Calculates the transition rate from one charge configuration to another.

This is given by p_WKB * fermi(delta_E), where delta_E is the energy difference between u and v (including the energy of the particle escaping into the left / right bath if applicable).

Parameters:

  • physics (PhysicsParameters) – The physical device parameters.

  • p_WKB (ndarray[float]) – An array with length equal to the number of barriers, where each entry is the transition rate across the corresponding barrier.

  • energy_matrix (ndarray[float]) – A 2D array with shape (num_islands, num_islands) giving the energy matrix (in meV) of the capacitance model.

  • approximate_charges (ndarray[float]) – An array with length equal to the number of islands, where each entry of the array is the integral of n(x) over the corresponding island.

  • u (ndarray[int]) – The initial and final charge configuration arrays. These are 1D arrays with length equal to the number of islands specifying the number of particles on each island.

  • v (ndarray[int]) – The initial and final charge configuration arrays. These are 1D arrays with length equal to the number of islands specifying the number of particles on each island.

Returns:

The transition rate from u to v.

Return type:

float