What Is the Origin of the Constant e in the Maxwell Distribution of Speeds?

  • Context: Graduate 
  • Thread starter Thread starter casanova2528
  • Start date Start date
  • Tags Tags
    Distribution Maxwell
Click For Summary

Discussion Overview

The discussion revolves around the origin of the constant "e" in the context of the Maxwell distribution of speeds. Participants are seeking clarification on the meanings of variables and constants within this distribution, particularly focusing on the role of "e".

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant requests resources for understanding the meanings behind each variable in the Maxwell distribution of speeds, specifically asking about the origin of "e".
  • Another participant mentions that each component of velocity follows a normal distribution, referencing the standard normal distribution's density function which includes "e".
  • A later reply reiterates that "e" is a constant, not a variable, but still questions how this constant is integrated into the equation.

Areas of Agreement / Disagreement

Participants express a shared curiosity about the origin of "e", but there is no consensus on its derivation or integration into the Maxwell distribution.

Contextual Notes

There are unresolved questions regarding the definitions and roles of variables and constants in the context of the Maxwell distribution, particularly concerning the mathematical derivation of "e".

casanova2528
Messages
52
Reaction score
0
There's so many derivation of the Maxwell distribution of speeds. Does anybody know a website or a textbook in which one can more easily find meanings behind each of the variables? For instance, where did the "e" come from?


Please help!
 
Physics news on Phys.org
Each of the components of velocity has a normal distribution.
The standard normal distribution has a density function e-x2/(2pi)1/2.
 
casanova2528 said:
There's so many derivation of the Maxwell distribution of speeds. Does anybody know a website or a textbook in which one can more easily find meanings behind each of the variables? For instance, where did the "e" come from?


Please help!

e is not a variable but a constant.
 
nasu said:
e is not a variable but a constant.

oops...yeah...i know. Nevertheless, how did the e constant come into this equation?
 

Similar threads

Graduate Maxwell distributions and average, RMS, and most probable speeds
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Most probable energy and speed for Maxwell-Boltzmann distribution
  • · Replies 4 ·
Replies
4
Views
5K
Graduate Deriving Magnostatics equations from steady currents
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Maxwell-Boltzmann Distribution and Probability
  • · Replies 6 ·
Replies
6
Views
5K
Graduate Integration of the Maxwell Speed Distribution
  • · Replies 12 ·
Replies
12
Views
3K
Graduate What Are the Fundamental Principles of Maxwell's Equations?
  • · Replies 0 ·
Replies
0
Views
3K
Graduate Maxwell's 4th equation for a Toroid
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Volume of velocity-space in Maxwell-Boltzmann distribution
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Boltzmann distribution and the number of molecules with a certain velocity
  • · Replies 10 ·
Replies
10
Views
3K
Finding E and B field of a weird charge distribution
  • · Replies 1 ·
Replies
1
Views
2K