the projection of velocity onto the external field to calculate mobilities has been implemented for fields not parallel to the kartesian coordinate axes
the mobility is defined as the projection of the average velocity < v > onto the normal vector of the field e_ext, divided by the absolute external field | F_ext|.
junghans
commented
4 years ago
the projection of velocity onto the external field to calculate mobilities has been implemented for fields not parallel to the kartesian coordinate axes
the mobility is defined as the projection of the average velocity < v > onto the normal vector of the field e_ext, divided by the absolute external field | F_ext|.
mu = < v > * e_ext / | F_ext|
, where * abbreviates the scalar product.
The normal vector of the external field is:
e_ext = F_ext / | F_ext|
yielding the expression for the mobility:
mu = = < v > * F_ext / | F_ext|^2
where | F_ext| = ( F_x^2 + F_y^2 + F_z^2 )^(1/2)
Greetings, Jim & Tobias