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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.05222 |
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| _version_ | 1866912520270249984 |
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| author | Raj, Abhishek Glorioso, Paolo Gopalakrishnan, Sarang Oganesyan, Vadim |
| author_facet | Raj, Abhishek Glorioso, Paolo Gopalakrishnan, Sarang Oganesyan, Vadim |
| contents | We consider the relaxation of finite-wavevector density waves in a facilitated classical lattice gas. Linear hydrodynamics predicts that such perturbations should relax exponentially, but nonlinear effects were predicted to cause subexponential relaxation via nonperturbative long-time tails. We present a detailed numerical study of this effect. While our results clearly indicate the importance of nonlinear effects, we find that the wavevector-dependence of the late-time relaxation is clearly inconsistent with theoretical predictions. We discuss manifestations of hydrodynamic nonlinearities in mesoscopic samples and at short times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffusion cascade in a model of interacting random walkers Raj, Abhishek Glorioso, Paolo Gopalakrishnan, Sarang Oganesyan, Vadim Statistical Mechanics We consider the relaxation of finite-wavevector density waves in a facilitated classical lattice gas. Linear hydrodynamics predicts that such perturbations should relax exponentially, but nonlinear effects were predicted to cause subexponential relaxation via nonperturbative long-time tails. We present a detailed numerical study of this effect. While our results clearly indicate the importance of nonlinear effects, we find that the wavevector-dependence of the late-time relaxation is clearly inconsistent with theoretical predictions. We discuss manifestations of hydrodynamic nonlinearities in mesoscopic samples and at short times. |
| title | Diffusion cascade in a model of interacting random walkers |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2412.05222 |