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Chaos–order–chaos-type transition in hydrogen molecular ion placed in external magnetic field

  • Regular Article – Nonlinear Dynamics
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Abstract

The occurrence of Hamiltonian chaos in the system of hydrogen molecular ion placed in external magnetic field has been investigated by using electronic trajectory plot, Poincare surface of section and maximal Lyapunov exponent. Our analysis reveals that the underlying dynamics of this system is very much sensitive to the magnetic field. The numerical calculations show that the regular dynamics in the field free case begins to deviate, with the addition of the external magnetic field, and shows chaotic character for certain field strengths. Moreover, a gradual increase in the strength of the magnetic field makes the system to posses chaos–order–chaos type of regions. When the magnetic field is very large, we have observed that the entire phase space has been occupied by chaotic trajectories.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The authors are ready to provide the data upon request to the corresponding author via email.]

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Acknowledgements

Author N.A. acknowledges the financial support received from the Department of Science of Technology, Government of India, in the form of a Major Research Project (SR/S2/HEP-014/2009). Also N.A. and C.S. thank Dr. M. S. Santhanam, Indian Institute of Science Education and Research, Pune, India, for the technical discussions.

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Authors and Affiliations

  1. Department of Physics, H H The Rajah’s College (Autonomous) (Affiliated to Bharathidasan University, Tiruchirappalli-620024, India), Pudukkottai, Tamilnadu, 622001, India

    N. Athavan & C. Selvaraju

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  1. N. Athavan
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  2. C. Selvaraju
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Both the authors, NA and CS, have equally contributed to this paper.

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Correspondence to N. Athavan.

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Athavan, N., Selvaraju, C. Chaos–order–chaos-type transition in hydrogen molecular ion placed in external magnetic field. Eur. Phys. J. D 75, 206 (2021). https://doi.org/10.1140/epjd/s10053-021-00220-6

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