https://doi.org/10.1140/epjp/s13360-025-06964-z
Regular Article
Long-range interactions of polaron states in dynamic of 
-sheet proteins
1
Department of Refining and Petrochemistry, National Advanced School of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
2
Laboratory of Theoretical Physics, Department of Physics, Faculty of Science, University of Bamenda, P.O. Box 39, Bambili, Cameroun
3
Botswana International University of Science and Technology, P/Bag 16, Palapye, Botswana
4
Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
5
Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
Received:
19
September
2025
Accepted:
14
October
2025
Published online:
24
October
2025
We investigate long-range polaron transfer, modeled as electron–vibration coupling in the nonlinear dynamics of -sheet proteins represented by a two-dimensional oscillator network of peptide units. In the stationary regime, the dynamics are governed by a (2+1)D discrete nonlinear Schrodinger equation. Linear stability analysis shows that increasing long-range interaction parameters narrows instability zones, enhancing electron transfer localizations. Numerical simulations, validating the modulational instability analysis, reveal the emergence of localized polaron structures, confirming electron transfer dynamics induced by the interplay of the vibrations of the protein scaffolding and improve long-lived localized excitations traveling through the interactions of peptide units lattice under appropriate cubic nonlinearity within the molecular system.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
