vix.ing · top · new · best · stats · spec

Fluctuation-dissipation theorems for viscoelastic fluids: consistency of extended thermodynamic theories

2003/06/21 by F. Vázquez, F. Vazquez, M. A. Olivares-Robles +6
Chemical Engineering · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #General Physics (physics.gen-ph) #Phase Equilibria and Thermodynamics #Rheology and Fluid Dynamics Studies #physics.flu-dyn #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0306159

9 Pages

arxiv created 2003/06/21 · openalex publication_date 2003/06/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Fluctuation-Dissipation Relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two ``potentials'' (total energy and entropy) and two ``matrices'' which determine the dynamics, but the understanding of fluctuations in a given non-equilibrium system is reduced to determining a single friction matrix. The FDR exhibits interesting features, arising from the type of entropy used in the formalism. We show explicitly this dependence FDR-Entropy, also we show that GENERIC renders results consistent with irreversible linear thermodynamics (TIL) only if it is used the corresponding entropy. An inconsistent result is provided by GENERIC when it is used a modified entropy .

Related