title: Comment on "Proposal of a critical test of the Navier-Stokes-Fourier paradigm for compressible fluid continua".
abstract: Recently, a critical test of the Navier-Stokes-Fourier equations for compressible fluid continua was proposed [H. Brenner, Phys. Rev. E 87, 013014 (2013)]. It was shown that the equations of bivelocity hydrodynamics imply that a compressible fluid in an isolated rotating circular cylinder attains a nonequilibrium steady state with a nonuniform temperature increasing radially with distance from the axis. We demonstrate that statistical mechanical arguments, involving Hamiltonian dynamics and ergodicity due to irregularity of the wall, lead instead to a thermal equilibrium state with uniform temperature. This is the situation to be expected in experiment.
authors.affiliation: Institut für Theorie der Statistischen Physik, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany.
authors.forename: B U
authors.initials: BU
authors.lastname: Felderhof
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical; D012212:Rheology / Q000379:methods*