Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916112416899072 |
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| author | Saadatmand, Danial Marjaneh, Aliakbar Moradi Askari, Alidad Weigel, Herbert |
| author_facet | Saadatmand, Danial Marjaneh, Aliakbar Moradi Askari, Alidad Weigel, Herbert |
| contents | We analyze the interaction of lattice vibrations (phonon wave-packets) with an asymmetric kink soliton initially at rest. We employ the $ϕ^6$ model in one space and one time dimensions for various lattice spacings and consider two different discretization prescriptions for the field potential that do not generate Peierls-Nabarro potentials, i.e. the kink can be placed anywhere along the lattice beyond discrete translational invariance. Since the $ϕ^6$ model kink is neither symmetric nor anti-symmetric under spatial reflections we simulate the cases where the wave-packet approaches the kink from negative or positive spatial infinity. We extract the energy transmission and reflection coefficients as functions of the central frequency of the phonon wave-packet for the different lattice spacings. For large lattice spacings the wave-packet is always fully reflected while for smaller spacing the amount of reflection and transmission depends on the central frequency. We also identify scenarios in which the target kink acquires a non-zero velocity from its interaction with the wave-packet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_02322 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential Saadatmand, Danial Marjaneh, Aliakbar Moradi Askari, Alidad Weigel, Herbert Pattern Formation and Solitons High Energy Physics - Theory We analyze the interaction of lattice vibrations (phonon wave-packets) with an asymmetric kink soliton initially at rest. We employ the $ϕ^6$ model in one space and one time dimensions for various lattice spacings and consider two different discretization prescriptions for the field potential that do not generate Peierls-Nabarro potentials, i.e. the kink can be placed anywhere along the lattice beyond discrete translational invariance. Since the $ϕ^6$ model kink is neither symmetric nor anti-symmetric under spatial reflections we simulate the cases where the wave-packet approaches the kink from negative or positive spatial infinity. We extract the energy transmission and reflection coefficients as functions of the central frequency of the phonon wave-packet for the different lattice spacings. For large lattice spacings the wave-packet is always fully reflected while for smaller spacing the amount of reflection and transmission depends on the central frequency. We also identify scenarios in which the target kink acquires a non-zero velocity from its interaction with the wave-packet. |
| title | Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential |
| topic | Pattern Formation and Solitons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2308.02322 |