English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We provide a complete derivation of hydrodynamic equations fornonrelativistic systems based on quantum field theories of spinlessSchr\"odeinger fields, assuming that an initial density operator takes aspecial form of the local Gibbs distribution. The constructedoptimized/renormalized perturbation theory for real-time evolution enables usto separately evaluate dissipative and nondissipative parts of constitutiverelations. It is shown that the path-integral formula for local thermalequilibrium together with the symmetry properties of the resulting action---thenonrelativistic diffeomorphism and gauge symmetry in the thermally emergentNewton-Cartan geometry---provides a systematic way to derive the nondissipativepart of constitutive relations. We further show that dissipative parts areaccompanied with the entropy production operator together with two kinds offluctuation theorems by the use of which we derive the dissipative part ofconstitutive relations and the second law of thermodynamics. After obtainingthe exact expression for constitutive relations, we perform the derivativeexpansion and derive the first-order hydrodynamic (Navier-Stokes) equation withthe Green-Kubo formula for transport coefficients.

Nonrelativistic hydrodynamics from quantum field theory: (I) Normal fluid composed of spinless Schr\"odinger fields