AI Article Synopsis
- The text outlines a microscopic derivation of a nonlinear fluctuating hydrodynamic equation specifically for homogeneous crystalline solids, focusing on a many-particle Hamiltonian system.
- It introduces a new expression for the displacement field that captures the nonlinear elastic behavior of solids and identifies mode-coupling terms in the reversible currents that align with established phenomenological equations.
- The derivation process involves projecting onto coarse-grained fields, employing long-wavelength approximations, and applying the stationarity condition from the Fokker-Planck equation.
Article Abstract
We present a microscopic derivation of the nonlinear fluctuating hydrodynamic equation for a 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 that 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.
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| http://dx.doi.org/10.1103/PhysRevE.108.054101 | DOI Listing |
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