Difference between revisions of "Solution details"

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for the previous equation let consider the asymptotic solution has the form:
 
for the previous equation let consider the asymptotic solution has the form:
  
−
<math> n(x', y', z') = exp(\lambda_L z') </math>
+
<math> n(x', y', z') = e^{\lambda_L z'} V(x,y,z) </math>

Revision as of 17:58, 25 October 2013

asymptotic solution details for Boltzmann equation for a hole has a uniform electric field

[math] (\frac {\partial^2{}}{\partial{x^2}} +\frac {\partial^2{}}{\partial{x^2}})[/math]n + [math] D_L \frac {\partial^2{}}{\partial{z^2}}[/math] - [math] W \frac {\partial{}}{\partial{z}}[/math] n = 0

Steps to solve Boltzmann equation

for the previous equation let consider the asymptotic solution has the form:

[math] n(x', y', z') = e^{\lambda_L z'} V(x,y,z) [/math]

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