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arXiv · 2510.19642

Manning-type potential induced by kink scatterings with phonons in molecular chains with hyperbolic double-well substrates

Alain M. Dikande
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Abstract

A rescaled Manning potential is obtained in the analysis of scatterings of small- amplitude excitations with a kink defect. The generic model is a nonlinear Klein- Gordon Hamiltonian describing a one-dimensional chain of identical molecules, sub- jected to an hyperbolic single-particle substrate potential. To account for isotope effects that are likely to affect characteristic equilibrium parameters of the molec- ular chain, including the lattice spacing (i.e. the characteristic intermolecuar dis- tance) and/or the barrier height, the hyperbolic substrate potential is endowed with a real parameter whose variation makes it suitable for the description of molecu- lar excitations in a broad range of systems with inversion symmetry. These include hydrogen-bonded molecular crystals, {\alpha}-helix proteins, long polymer chains and two- state quantum-tunneling systems in general. Double-well models with deformable profiles are relevant in physical contexts where the equilibrium configurations are sensitive to atomic or molecular substitutions, dilution, solvation and so on.

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Alain M. Dikande. 2025-10-22. Manning-type potential induced by kink scatterings with phonons in molecular chains with hyperbolic double-well substrates. https://doi.org/10.1063/5.0291413

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