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Topological Configuration in the Heisenberg Spin Sequence and DNA

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Mathematical Analysis and Applications in Modeling (ICMAAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 302))

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Abstract

We have considered here that the conformational properties of a DNA molecule can be mapped onto a Heisenberg spin system when spins are located on the axis forming an antiferromagnetic chain. This helps us to study the topological properties of a DNA molecule in terms of SU(2) gauge fields. The entanglement entropy of the spin system in a supercoil has been determined and it is pointed out that this effectively corresponds to the thermodynamic entropy. The model reproduces salient features of the Rod-Like-Chain model avoiding the “RLC model crisis”.

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Acknowledgements

The authors are grateful to express my deep gratitude to my beloved Sir Prof. Pratul Bandyopadhyay for helpful discussion.

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Authors and Affiliations

  1. Department of Physics, JIS College of Engineering (Autonomous), West Bengal University of Technology, Kalyani, Nadia, 741235, India

    Subhamoy Singha Roy

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  1. Subhamoy Singha Roy
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Correspondence to Subhamoy Singha Roy .

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Editors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Priti Kumar Roy

  2. College of Science, Beijing Technology and Business University, Beijing, China

    Xianbing Cao

  3. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Xinjiang, China

    Xue-Zhi Li

  4. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Pratulananda Das

  5. Harish-Chandra Research Institute, Allahabad, Uttar Pradesh, India

    Satya Deo

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Singha Roy, S. (2020). Topological Configuration in the Heisenberg Spin Sequence and DNA. In: Roy, P., Cao, X., Li, XZ., Das, P., Deo, S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore. https://doi.org/10.1007/978-981-15-0422-8_18

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