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arXiv · 1905.03024

Non-linear Fluctuating Hydrodynamics with many conserved fields: the case of a 3D anharmonic chain

Roberto Barreto·M. Florencia Carusela·Alejandro G. Monastra
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Abstract

We propose a model for a chain vibrating in 3 dimensions (3D), with first neighbors anharmonic interatomic potential which depends on their distance, and subjected to an external tension. In the framework of the non-linear fluctuating hydrodynamic theory (NLFHT), that was successfully applied to 1D chains, we obtain a heat mode, two longitudinal and four transverse sound modes. We compute their spatio-temporal correlations comparing the theoretical results with molecular dynamics simulations, finding a good agreement for high temperatures. We find that the transverse sound modes behave diffusively, meanwhile the heat and longitudinal sound modes superdiffusively, exploring their possible scaling functions and characteristic exponents.

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Roberto Barreto, M. Florencia Carusela, Alejandro G. Monastra. 2019-05-08. Non-linear Fluctuating Hydrodynamics with many conserved fields: the case of a 3D anharmonic chain. https://doi.org/10.1103/physreve.100.022118

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