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 ;)