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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2605.24467 |
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| _version_ | 1866917527741792256 |
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| author | Saha, Rupayan Krüger, Matthias |
| author_facet | Saha, Rupayan Krüger, Matthias |
| contents | We exactly solve a model of a heterogeneous chain of overdamped, harmonically coupled particles with momentum-conserving dissipation. Despite being governed by a non-symmetric drift operator, the system admits an analytical diagonalization by use of a forward-difference transformation. In case of one free end, the response matrix shows a peculiar staircase form: the response of particle i to a force acting on particle j is independent of the properties and the length of the chain-part between i and j. For rank-deficient interaction matrices, the state space is decomposed into free and constrained subspaces. We demonstrate that this separation has clear physical consequences: the free subspace governs steady state responses, while the constraint subspace governs the relaxation after cessation of forcing. These results establish a framework for analyzing heterogeneous overdamped dynamics with momentum conservation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24467 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The peculiar response of Kelvin-Voigt chains with a free end Saha, Rupayan Krüger, Matthias Statistical Mechanics We exactly solve a model of a heterogeneous chain of overdamped, harmonically coupled particles with momentum-conserving dissipation. Despite being governed by a non-symmetric drift operator, the system admits an analytical diagonalization by use of a forward-difference transformation. In case of one free end, the response matrix shows a peculiar staircase form: the response of particle i to a force acting on particle j is independent of the properties and the length of the chain-part between i and j. For rank-deficient interaction matrices, the state space is decomposed into free and constrained subspaces. We demonstrate that this separation has clear physical consequences: the free subspace governs steady state responses, while the constraint subspace governs the relaxation after cessation of forcing. These results establish a framework for analyzing heterogeneous overdamped dynamics with momentum conservation. |
| title | The peculiar response of Kelvin-Voigt chains with a free end |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2605.24467 |