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Dynamics of generalized Gaussian polymeric structures in random layered flows.

Divya Katyal1, Rama Kant1

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We developed a new model for flexible branched polymers in random flows, revealing anomalous diffusion regimes. Polymer topology influences intermediate dynamics, while flow characteristics dictate long-term behavior.

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Area of Science:

  • Polymer Physics
  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Understanding polymer dynamics in complex fluid environments is crucial.
  • Flexible branched polymers, like stars and dendrimers, exhibit unique behaviors.
  • Random flows introduce significant challenges in modeling polymer motion.

Purpose of the Study:

  • To develop a theoretical framework for flexible branched polymer dynamics in random flows.
  • To analyze the influence of polymer topology and flow characteristics on polymer motion.
  • To identify and characterize anomalous diffusion regimes.

Main Methods:

  • Utilized the generalized Gaussian structure (GGS) approach.
  • Employed the Matheron-de Marsily model for random layered flow.
  • Derived expressions for the average square displacement (ASD) by averaging over thermal noise and flow.

Main Results:

  • Obtained the ASD for GGS in random flow, considering thermal noise and flow effects.
  • Identified two anomalous power-law regimes: subdiffusive (intermediate-time) and superdiffusive (long-time).
  • Demonstrated that polymer topology significantly impacts intermediate-time dynamics, while long-time dynamics are less dependent on topology.

Conclusions:

  • The developed formalism accurately describes flexible branched polymer dynamics in random flows.
  • Polymer topology plays a key role in intermediate-time anomalous diffusion.
  • Flow characteristics, such as root-mean-square velocity and flow exponent α, significantly influence polymer dynamics and diffusion regimes.