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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | https://arxiv.org/abs/2304.03276 |
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| _version_ | 1866916080036872192 |
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| author | Han, Jung Hoon Lake, Ethan Ro, Sunghan |
| author_facet | Han, Jung Hoon Lake, Ethan Ro, Sunghan |
| contents | We study diffusion in systems of classical particles whose dynamics conserves the total center of mass. This conservation law leads to several interesting consequences. In finite systems, it allows for equilibrium distributions that are exponentially localized near system boundaries. It also yields an unusual approach to equilibrium, which in $d$ dimensions exhibits scaling with dynamical exponent $z = 4+d$. Similar phenomena occur for dynamics that conserves higher moments of the density, which we systematically classify using a family of nonlinear diffusion equations. In the quantum setting, analogous fermionic systems are shown to form real-space Fermi surfaces, while bosonic versions display a real-space analog of Bose-Einstein condensation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03276 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scaling and localization in multipole-conserving diffusion Han, Jung Hoon Lake, Ethan Ro, Sunghan Statistical Mechanics Quantum Gases Quantum Physics We study diffusion in systems of classical particles whose dynamics conserves the total center of mass. This conservation law leads to several interesting consequences. In finite systems, it allows for equilibrium distributions that are exponentially localized near system boundaries. It also yields an unusual approach to equilibrium, which in $d$ dimensions exhibits scaling with dynamical exponent $z = 4+d$. Similar phenomena occur for dynamics that conserves higher moments of the density, which we systematically classify using a family of nonlinear diffusion equations. In the quantum setting, analogous fermionic systems are shown to form real-space Fermi surfaces, while bosonic versions display a real-space analog of Bose-Einstein condensation. |
| title | Scaling and localization in multipole-conserving diffusion |
| topic | Statistical Mechanics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2304.03276 |