Understanding Physics with a Rank 4 Tensor Example

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Discussion Overview

The discussion centers around examples of rank 4 tensors in physics, specifically seeking to identify and clarify instances where such tensors are utilized. The scope includes theoretical applications in fields like general relativity and material science.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant requests an example of a rank 4 tensor in physics.
  • Another participant suggests the Riemann curvature tensor (Rijkl) as an example used in general relativity.
  • A different participant mentions that their coursework had only covered up to third rank tensors, indicating a potential gap in their understanding.
  • Another example provided is the third order nonlinear susceptibility, which is also classified as a rank 4 tensor.

Areas of Agreement / Disagreement

Participants present multiple examples of rank 4 tensors, but there is no consensus on a singular example or its applications, indicating that the discussion remains open and exploratory.

SteDolan
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Hi,

Can somebody give me an example of a rank 4 tensor in physics?

Thanks.
 
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Sure, one would be the Riemann curvature tensor Rijkl that's used in general relativity.
 
Thanks.

It was an odd small part of an exam question when my module had only covered examples up to 3rd rank.
 
Third order nonlinear susceptibility is another example of 4th rank tensor.
 

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