Recent content by Fernando Mourao

Homework Statement Describe semiquantitatively the motion of an electron under the presence of a constant electric field in the x direction, E =E0x^ and a space varying magnetic field given by B = B0 a(x + z)x^ + B0 [1 + a(x - z)]z^ where Eo, Bo, and a are...

Thank you for your reply Dr Claude. I understand the process of direct substitution and the fact that, in this case, ∇ = d/dx and ∇v=d/dvx. But my problem is the mathematical proof. How to explicitly show that: ∂/∂t(f(½mv2+qV)) + v⋅∂/∂x(f(½mv2+qV)) + a⋅∂/∂vx(f(½mv2+qV))=0 v and a being vectors.

Homework Statement Consider the motion of charged particles, in one dimension only, in the presence of an electric potential V ( x). Show, by direct substitution, that a function of the form f=f(1/mv^2 + qV) is a solution of the Boltzmann equation under steady-state conditions. Homework...

My name is Fernando Mourão and I've just started my PhD in plasma physics after 6 years working as a project manager in a wind energy consultancy company. So...Hi everyone ;)