What is the Diffusion Tensor for Isotropic Media?

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The discussion centers on the formulation of the diffusion tensor for anisotropic media, with initial confusion regarding isotropic diffusion. It is clarified that the diffusion tensor for anisotropic media should not be proportional to the identity matrix. Participants express uncertainty about the physical significance of the off-diagonal coefficients in the tensor. The conversation highlights a need for more detailed information on the topic, particularly regarding the interpretation of these coefficients. Understanding the diffusion tensor in anisotropic contexts is essential for accurate modeling in diffusion MRI.
Carl140
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Does anyone know how to write the diffusion tensor (coefficient) for a isotropic media?
It should be a matrix but I can't find it in the literature. Maybe you guys know it or can help.
Jackson doesn't have it.

Cheers
 
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Thanks Andy, I'm very sorry, I'm stupid, I'm looking for "diffusion tensor for an ANISOTROPIC media", not isotropic.

Again, sorry.
 
Then make the tensor not proportional to the identity matrix. Not sure what the off-diagonal coefficients correspond to, physically.
 
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