Anomalous diffusion from parsecs to micrometers

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• Dhrubaditya Mitra (NORDITA)
• Wednesday 01 May 2024, 11:30-12:30
• Seminar Room 1, Newton Institute.

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ADI - Anti-diffusive dynamics: from sub-cellular to astrophysical scales

I will talk about anomalous diffusion in two problems at two very different length scales. (A) Compressible turbulence at the scale of parsecs. One of the cornerstones of incompressible turbulence is the Richardson’s law which states that the mean of the square of the distance between two Lagrangian particles grows as the cube of time:  R^{2 \sim t}3. I will show from numerical simulations that this does not hold in shock dominated turbulence.  We will then generalize the multifractal model to include shocks and thereby rationalize the generalization of Richarson’s law to compressible turbulence. (B) Cell membrane at the scale of micrometers. Experiments show that the cell membrane is an exotic two-dimensional material which has both solid like and fluid like properties. An example of the former is the existence of a non-zero elastic shear modulus.  Evidence in support of the fluid like behavior are: (1) tether formation (2) lateral diffusion, simple of anomalous, of lipid molecules. We construct a model that can capture both of these aspects.  (A) is done in collaboration with Sadhitro De and Rahul Pandit, pre-print ( arXiv:2311.06836 ) .   (B) is done in collaboration with Vikash Pandey, pre-print(  arXiv:2404.12211).

This talk is part of the Isaac Newton Institute Seminar Series series.

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