Can Sound and Light Properties Quantitatively Determine System Entropy?

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SUMMARY

This discussion explores the quantitative relationships between sound and light properties and their respective impacts on system entropy. The user references the article by Seth Putterman and K. R. Weninger, highlighting the connection between sound wave properties and heat transfer, specifically through Kirchhoff's Law. The inquiry extends to whether similar relationships exist for light waves and their entropy, particularly in the context of black body radiation as described by Planck's Law. The discussion emphasizes the need for academic examples that illustrate these connections in physics.

PREREQUISITES
  • Understanding of entropy in thermodynamics
  • Familiarity with Kirchhoff's Law and its applications
  • Knowledge of Planck's Law regarding black body radiation
  • Basic principles of wave mechanics for sound and light
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  • Research the Helmholtz-Kirchhoff formula for sound attenuation
  • Explore the relationship between sound waves and heat transfer in thermodynamic systems
  • Investigate the connection between light intensity and entropy in black body radiation
  • Study academic papers on entropy and wave properties in physics
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Physicists, thermodynamics researchers, and students interested in the relationships between wave properties and entropy in various systems.

piareround
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First I apologize if this has been asked before; however, did a google search of the archives and could not find anything talking directly about my question about entropy of light and the entropy of sound. Also, it been bothering me for quite some time:

  1. Is there a quantitative or formulaic relationship between the measured properites of sound wave and the change in entropy of a system? If so can you give a common example?
  2. Is there a quantitative or formulaic relationship between the measured properties of a light wave and the change in entropy of a system? If so can you give a common example?
 
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Entropy of what system?
 
dx said:
Entropy of what system?

First thanks for the fast response, ^_^. I honestly thought it was going to take longer XD. Unfortunately, I personally don't know what system either, although I would assume that it would be somewhat isolated. Maybe a better way would be to talk about what really sparked this train of thought...

About ... 3 maybe 3.5 years ago I found a certain article written in 2000 by Seth Putterman and K. R. Weninger called "http://arjournals.annualreviews.org/doi/abs/10.1146/annurev.fluid.32.1.445" " I found the very article interesting (so interesting I decide to go as a major in physics); however, to get to the point, one of the things that struck me odd about this article was the following quote on page 447:

"The local heating, which is 15 orders of
magnitude greater than follows from Kirchoff’s law for the attenuation of sound,
is strong enough to lyse cells. In fact this device is regularly used for the surgical
procedure called ultrasonically assisted liposuction (Weninger et al 1999a). In
that case a small hole up the center of the probe is used to remove the emulsified
fatty tissue." pg. 447

What I found odd was not the magnitude of heat at all, rather the simple fact that a formula called "Kirchoff's Law" (see footnote 1) existed that related sound to heating and vis versa for a certain set of conditions. (I don't know this law so I am not really sure what those conditions are ><; ) This made be wonder... if we can draw a relationship between the properties of sound wave and heat transfer in a system then is it possible to go deeper ... and draw a relationship between sound and entropy of that same system? Is there an academic example in physics relating the sound emitted on and entropy of a system? I am really not sure so that why I asked the questions I did.

Then Beyond that I remember that http://en.wikipedia.org/wiki/Planck%27s_law" for black body radiation related the temperature of a black body to the intensity of light. In the same manner, I wonder if its possible can one derive a relationship between the intensity of light and the entropy of the black body? Unfortunately I wasn't sure what would be a valid method of showing such a relationship.
footnote 1: When I searched for the term "Kirchoff's law for the attenuation of sound", found it was Helmholtz-Kirchhof formula for the attenuation of sound not just Kirchhoff
 
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