• Self-segregation in chemical reactions, diffusion in a catalytic environment and an ideal polymer near a defect

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      https://www.ias.ac.in/article/fulltext/pram/038/03/0257-0269

    • Keywords

       

      Diffusion; survival probability; nearest-neighbour density distribution; partial trap; self-segregation

    • Abstract

       

      We study a family of equivalent continuum models in one dimension. All these models map onto a single equation and include simple chemical reactions, diffusion in presence of a trap or a source and an ideal polymer chain near an attractive or repulsive site. We have obtained analytical results for the survival probability, total growth rate, statistical properties of nearest-neighbour distribution between a trap and unreacted particle and mean-squared displacement of the polymer chain. Our results are compared with the known asymptotic results in the theory of discrete random walks on a lattice in presence of a defect.

    • Author Affiliations

       

      P K Datta1 A M Jayannavar1

      1. Institute of Physics, Sachivalaya Marg, Bhubaneswar - 751 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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