The Maxwell-Boltzmann Distribution: Difference between revisions

From Physics Book
Jump to navigation Jump to search
(Created page with "Claimed by Sai Srinivas ==The Main Idea== State, in your own words, the main idea for this topic ===A Mathematical Model=== What are the mathematical equations that allow...")
 
No edit summary
Line 8: Line 8:
===A Mathematical Model===
===A Mathematical Model===


What are the mathematical equations that allow us to model this topic.  For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.
The Maxwell–Boltzmann distribution is the function
 
:<math> f(v) = \sqrt{\left(\frac{m}{2 \pi kT}\right)^3}\, 4\pi v^2 e^{- \frac{mv^2}{2kT}}, </math>
 
where <math>m</math> is the particle mass and <math>kT</math> is the product of Boltzmann's constant, <math>k<math>, and thermodynamic temperature, given by <math>T<math>.


===A Computational Model===
===A Computational Model===

Revision as of 15:09, 4 December 2015

Claimed by Sai Srinivas

The Main Idea

State, in your own words, the main idea for this topic


A Mathematical Model

The Maxwell–Boltzmann distribution is the function

[math]\displaystyle{ f(v) = \sqrt{\left(\frac{m}{2 \pi kT}\right)^3}\, 4\pi v^2 e^{- \frac{mv^2}{2kT}}, }[/math]

where [math]\displaystyle{ m }[/math] is the particle mass and [math]\displaystyle{ kT }[/math] is the product of Boltzmann's constant, <math>k<math>, and thermodynamic temperature, given by <math>T<math>.

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

Simple

Middling

Difficult

Connectedness

  1. How is this topic connected to something that you are interested in?
  2. How is it connected to your major?
  3. Is there an interesting industrial application?

History

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

See also

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading

Books, Articles or other print media on this topic

External links

[1]


References

This section contains the the references you used while writing this page