Microscopic derivation of nonlinear fluctuating hydrodynamics for crystalline solid
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913273969901568 |
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| author | Hiura, Ken |
| author_facet | Hiura, Ken |
| contents | We present a microscopic derivation of the nonlinear fluctuating hydrodynamic equation for the homogeneous crystalline solid from the Hamiltonian description of a many-particle system. We propose a microscopic expression of the displacement field that correctly generates the nonlinear elastic properties of the solid and find the nonlinear mode-coupling terms in reversible currents which are consistent with the phenomenological equation. The derivation relies on the projection onto the coarse-grained fields including the displacement field, the long-wavelength expansion, and the stationarity condition of the Fokker-Planck equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17227 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Microscopic derivation of nonlinear fluctuating hydrodynamics for crystalline solid Hiura, Ken Statistical Mechanics Soft Condensed Matter We present a microscopic derivation of the nonlinear fluctuating hydrodynamic equation for the homogeneous crystalline solid from the Hamiltonian description of a many-particle system. We propose a microscopic expression of the displacement field that correctly generates the nonlinear elastic properties of the solid and find the nonlinear mode-coupling terms in reversible currents which are consistent with the phenomenological equation. The derivation relies on the projection onto the coarse-grained fields including the displacement field, the long-wavelength expansion, and the stationarity condition of the Fokker-Planck equation. |
| title | Microscopic derivation of nonlinear fluctuating hydrodynamics for crystalline solid |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2303.17227 |