Microscopic Theory of Fluctuating Hydrodynamics in Nonlinear Lattices

Keiji Saito, Masaru Hongo, Abhishek Dhar, Shin Ichi Sasa

研究成果: Article査読

3 被引用数 (Scopus)

抄録

The theory of fluctuating hydrodynamics has been an important tool for analyzing macroscopic behavior in nonlinear lattices. However, despite its practical success, its microscopic derivation is still incomplete. In this work, we provide the microscopic derivation of fluctuating hydrodynamics, using the coarse-graining and projection technique; the equivalence of ensembles turns out to be critical. The Green-Kubo (GK)-like formula for the bare transport coefficients are presented in a numerically computable form. Our numerical simulations show that the bare transport coefficients exist for a sufficiently large but finite coarse-graining length in the infinite lattice within the framework of the GK-like formula. This demonstrates that the bare transport coefficients uniquely exist for each physical system.

本文言語English
論文番号010601
ジャーナルPhysical review letters
127
1
DOI
出版ステータスPublished - 2021 7月 2

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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