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Exact diffusion–reaction dynamics for two different confined potentials in the presence of a perfect trap

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Abstract

In the high friction limit, the initial works of the diffusion–reaction system utilising the one-dimensional Smoluchowski equation have been largely explored by a perfect trap term and a relevant system potential. The fast electronic relaxation process in a polar solvent can best be understood using the perfect sink model. The exact dynamics, however, are only available when the trap is placed in the harmonic potential centre. To solve the model equation for the arbitrary placement of the trap, here we have proposed a fresh, slightly uncommon approach. Additionally, we gave exact results to a recently investigated linear confined-type potential for the perfect trap placed arbitrarily. When the trap is positioned at an uphill location relative to the initial distribution, notable non-monotonic effects of the decay properties have been identified for the variation of potential strength.

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Acknowledgements

One of the authors (CS) would like to thank the institute for providing with a Half-Time Research Assistantship fellowship.

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Authors and Affiliations

  1. School of Physical Sciences, Indian Institute of Technology Mandi, Kamand, 175 075, India

    Chinmoy Samanta

  2. School of Chemical Sciences, Indian Institute of Technology Mandi, Kamand, 175 075, India

    Aniruddha Chakraborty

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  1. Chinmoy Samanta
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  2. Aniruddha Chakraborty
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Correspondence to Chinmoy Samanta.

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Samanta, C., Chakraborty, A. Exact diffusion–reaction dynamics for two different confined potentials in the presence of a perfect trap. Pramana - J Phys 98, 4 (2024). https://doi.org/10.1007/s12043-023-02700-3

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  • DOI: https://doi.org/10.1007/s12043-023-02700-3

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