Derivation of Boltzmann Equation

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Discussion Overview

The discussion revolves around the derivation of the Boltzmann equation, distinguishing it from the Boltzmann distribution. Participants explore the theoretical foundations and historical context of the equation, touching on its relevance in kinetic theory and statistical mechanics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests a derivation of the Boltzmann equation, indicating a desire for a deeper understanding of kinetic theory.
  • Another participant notes that the Boltzmann distribution is different from the Boltzmann equation, emphasizing the distinction between statistical mechanics and kinetic theory.
  • Several participants provide links to resources, including Wikipedia and seminar notes, suggesting these contain relevant information on the topic.
  • A request for the original paper by Boltzmann is made, highlighting interest in primary sources.
  • Concerns are raised about access to historical papers, with one participant expressing frustration over the cost of accessing older works.
  • Additional links to educational resources, such as MIT's course notes, are shared, indicating a collaborative effort to find useful materials.

Areas of Agreement / Disagreement

Participants generally agree on the distinction between the Boltzmann equation and the Boltzmann distribution, but there is no consensus on the best resources for deriving the equation or the accessibility of original works.

Contextual Notes

The discussion reflects varying levels of access to academic resources and differing opinions on the relevance of kinetic theory in contemporary physics.

Who May Find This Useful

Individuals interested in statistical mechanics, kinetic theory, and the historical development of the Boltzmann equation may find this discussion informative.

quantum123
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Hi:

How do you derive the Boltzmann equation?
Thanks.
 
Science news on Phys.org
I made up some seminar notes on this... Let's see...

This should be found in any standard statistical physics text.
 

Attachments

Hi:
What you have given is Boltzmann distribution.
I want Bolztmann equation.
The former is statistical mechanics, the latter is kinetic theory.
Kinetic theory has gone out of fashion somewhat, but I am still quite interested in it.
 
Does anyone have the original paper written by Boltzmann himself (translated in English)?
 
No I do not have access.
You mean you still have to pay $$$ for a piece of paper written 200 years ago?
That is discouraging.
 
http://ocw.mit.edu/courses/physics/8-333-statistical-mechanics-i-statistical-mechanics-of-particles-fall-2007/lecture-notes/
 
Last edited by a moderator:
Wow, thanks Physics Forum and MIT.
I will go read it.
 

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