How is this formula for the speed of sound derived?

Click For Summary

Discussion Overview

The discussion revolves around the derivation of a formula for the speed of sound, specifically expressed as c² = (n/m) ∂²U/∂n², where U represents vacuum energy density as a function of quasiparticle density. Participants seek clarification and resources related to this formula.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant presents the formula for the speed of sound and inquires about resources that explain its derivation.
  • Another participant requests assistance with understanding the formula, indicating a need for clarification.
  • A third participant references a document that purportedly derives the formula, suggesting that it uses a different formulation but believes the two are equivalent.
  • A later reply expresses gratitude for the provided information.

Areas of Agreement / Disagreement

Participants generally express a need for clarification and resources, but there is no consensus on the derivation or equivalence of the formulations mentioned.

Contextual Notes

The discussion does not clarify the assumptions underlying the formula or the specific conditions under which the equivalence of the formulations is asserted.

Who May Find This Useful

Individuals interested in the derivation of the speed of sound in the context of quasiparticle dynamics and those seeking resources for further understanding of related physical chemistry concepts.

Superfluid universe
Messages
17
Reaction score
2
c² = (n/m) ∂²U/∂n²

where

U = vacuum energy density as a function of the quasiparticle density
n = quasiparticle number density
m = bare mass of quasiparticle

Is there a book, article where this formula is explained?
Thank you.
 
Physics news on Phys.org
Could you please help me with the formula?
Thank you. :)
 
Thank you! :)
 

Similar threads

  • · Replies 0 ·
Replies
0
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 22 ·
Replies
22
Views
2K
Replies
1
Views
3K
  • Sticky
  • · Replies 2 ·
Replies
2
Views
11K