Microscopic Theory of Fluctuating Hydrodynamics in Nonlinear Lattices

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

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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.

Original languageEnglish
Article number010601
JournalPhysical review letters
Issue number1
Publication statusPublished - 2021 Jul 2

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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