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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2510.19642 |
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| _version_ | 1866908606249566208 |
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| author | Dikande, Alain M. |
| author_facet | Dikande, Alain M. |
| contents | 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, α-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Manning-type potential induced by kink scatterings with phonons in molecular chains with hyperbolic double-well substrates Dikande, Alain M. Chemical Physics Pattern Formation and Solitons 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, α-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. |
| title | Manning-type potential induced by kink scatterings with phonons in molecular chains with hyperbolic double-well substrates |
| topic | Chemical Physics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2510.19642 |