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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2601.19894 |
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| _version_ | 1866912853582151680 |
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| author | Koterle, Matija Prosen, Tomaz Zhou, Tianci |
| author_facet | Koterle, Matija Prosen, Tomaz Zhou, Tianci |
| contents | Anomalous KPZ spin transport is well established in integrable non-Abelian lattice models but has not been investigated in continuum field theories as discretization in numerics generally break the continuum theory's integrability. We show that finite temperature acts as a regulator that can restore anomalous transport over a broad time window. In a family of spin field theories labeled by integer $n$, the $n = 1$ case is the Landau-Lifshitz model, whose numerical data shows spin superdiffusion with Kardar-Parisi-Zhang (KPZ) scaling and, at lower temperature ballistic energy transport, whereas both observables are diffusive at high temperature. The non-integrable $n = 2$ case shows the same crossover. While Lyapunov analysis confirms the model's non-integrability, the structure of spin-density space-time profiles suggests that long-lived soliton-like trajectories exist at low temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anomalous transport in non-integrable classical field theories Koterle, Matija Prosen, Tomaz Zhou, Tianci Statistical Mechanics Anomalous KPZ spin transport is well established in integrable non-Abelian lattice models but has not been investigated in continuum field theories as discretization in numerics generally break the continuum theory's integrability. We show that finite temperature acts as a regulator that can restore anomalous transport over a broad time window. In a family of spin field theories labeled by integer $n$, the $n = 1$ case is the Landau-Lifshitz model, whose numerical data shows spin superdiffusion with Kardar-Parisi-Zhang (KPZ) scaling and, at lower temperature ballistic energy transport, whereas both observables are diffusive at high temperature. The non-integrable $n = 2$ case shows the same crossover. While Lyapunov analysis confirms the model's non-integrability, the structure of spin-density space-time profiles suggests that long-lived soliton-like trajectories exist at low temperature. |
| title | Anomalous transport in non-integrable classical field theories |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2601.19894 |