Velocity distribution of atoms

Click For Summary
SUMMARY

The discussion centers on the velocity distribution of atoms in a three-dimensional box, specifically regarding the Maxwell distribution. When a hole is introduced, allowing atoms to escape, the participants confirm that the velocity components remain described by the Maxwell distribution. However, a key point raised is the challenge of interpreting negative velocities within the chosen coordinate system, as the probability of negative velocity is zero in the context of the distribution.

PREREQUISITES
  • Understanding of Maxwell distribution in statistical mechanics
  • Familiarity with three-dimensional coordinate systems
  • Basic knowledge of kinetic theory of gases
  • Concept of probability distributions in physics
NEXT STEPS
  • Research the implications of the Maxwell distribution in non-closed systems
  • Explore coordinate transformations in three-dimensional physics
  • Study the kinetic theory of gases and its applications
  • Investigate the concept of velocity distributions in open systems
USEFUL FOR

Students and researchers in physics, particularly those studying thermodynamics and statistical mechanics, as well as anyone interested in the behavior of gases in varying conditions.

Niles
Messages
1,834
Reaction score
0

Homework Statement


Hi

If I have a gas of atoms confined to a (3D) box, then the probability of an atom having a speed (vx, vy, vz) is given by the Maxwell distribution. Say I now make a hole in the box, such that the atoms can "fly" out of it (see attached picture). Would I still be able to describe the components by a Maxwell distribution?


Niles.
 

Attachments

  • gas.PNG
    gas.PNG
    618 bytes · Views: 470
Physics news on Phys.org
I would say that it is still given by a Maxwell distribution, but something about this I can't quite understand: When I plot the distribution, the probability of having a negative velocity is zero. So after choosing a coordinate system, how would I ever be able to get a negative velocity?Niles.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
Replies
7
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K