# Maxwell's velocity distribution

1. Jun 7, 2007

### Ben Hom Chen

I have some problem in the paragragh.
I save it as Word format.The link is below.
Thanks!

Last edited by a moderator: Apr 22, 2017
2. Jun 7, 2007

### Mentz114

I downloaded the file, which is a zip containing some xml docs I will not open. You won't get any help unless you show your problem and your work.

3. Jun 11, 2007

### Ben Hom Chen

file format as "zipped file",so some error would happen.

When saving file,we must change the saving format to"All files",then it can
be opened without error.

I hope my words can be understood><

Thx><

Last edited by a moderator: Apr 22, 2017
4. Jun 11, 2007

### Mentz114

Sorry, Ben, nothing has changed. I can't read the docx format. Try saving your document as PDF or .doc.

5. Jun 12, 2007

### Ben Hom Chen

6. Jun 12, 2007

### Mentz114

OK, I can see the pictures. THis is the standard undergraduate derivation of the MB distribution.

1. $$\vec{v}^2 = v_x^2 + v_y^2 + v_z^2$$

2. Hmm. Maybe this should be "$$f(\vec{v}^2)$$ is the probabilty of finding a particle with squared velocity $$\vec{v}^2$$".

3. The function $$e^{ax}$$ is not normalizable unless a < 0. By convention one gives 'a' a positive value and writes the equation with a negative sign.

7. Jun 13, 2007

### Ben Hom Chen

At least I understand the third answer^^"

8. Jun 13, 2007

### Mentz114

I never liked that derivation, which I have in the Pauli lectures in it's full clunkiness. In fact it's possible to derive the MB distribution using a much simpler heuristic argument and I'll be happy to dig it out and post it if you like.

9. Jun 14, 2007

### Ben Hom Chen

Thank You,I want to check it out.

If it won't take you much time.

10. Jun 15, 2007

### Mentz114

Well, I found it but it's not simpler and relies on the central-limit theorem so maybe the standard derivation is the best after all.