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Autori principali: Wang, Jiaozi, Nandy, Sourav, Kraft, Markus, Prosen, Tomaž, Steinigeweg, Robin
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2511.19110
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author Wang, Jiaozi
Nandy, Sourav
Kraft, Markus
Prosen, Tomaž
Steinigeweg, Robin
author_facet Wang, Jiaozi
Nandy, Sourav
Kraft, Markus
Prosen, Tomaž
Steinigeweg, Robin
contents Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study infinite temperature spin diffusion in a classical integrable, space-time discrete version of anisotropic Landau-Lifshitz magnet in the easy-axis regime, subjected to integrability-breaking perturbations. Our numerical results based on large-scale simulations reveal i) a sharp change in the spin diffusion constant as a function of perturbation strength in the thermodynamic limit and ii) a crossover from non-Gaussian to Gaussian statistics of magnetization transfer reflected in higher order cumulants under integrability breaking. Both our observations hint to the presence of non-trivial diffusion mechanism inherent to integrable systems.
format Preprint
id arxiv_https___arxiv_org_abs_2511_19110
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fate of diffusion under integrability breaking of classical integrable magnets
Wang, Jiaozi
Nandy, Sourav
Kraft, Markus
Prosen, Tomaž
Steinigeweg, Robin
Statistical Mechanics
Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study infinite temperature spin diffusion in a classical integrable, space-time discrete version of anisotropic Landau-Lifshitz magnet in the easy-axis regime, subjected to integrability-breaking perturbations. Our numerical results based on large-scale simulations reveal i) a sharp change in the spin diffusion constant as a function of perturbation strength in the thermodynamic limit and ii) a crossover from non-Gaussian to Gaussian statistics of magnetization transfer reflected in higher order cumulants under integrability breaking. Both our observations hint to the presence of non-trivial diffusion mechanism inherent to integrable systems.
title Fate of diffusion under integrability breaking of classical integrable magnets
topic Statistical Mechanics
url https://arxiv.org/abs/2511.19110