Journal
PHYSICAL REVIEW E
Volume 104, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.104.064127
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Funding
- FEDER/Ministerio de Ciencia e Innovacion-Agencia Estatal de Investigacion (Spain) [PGC2018-093998-B-I00]
- FPU programme [FPU2019-4110]
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The study analyzes the dynamical evolution of a fluid with nonlinear drag, described by the Enskog-Fokker-Planck equation. The model system displays a complex glassy response at low temperatures, controlled by a long-lived nonequilibrium state. The observed response includes nonexponential, algebraic, relaxation, and strong memory effects, presenting scaling properties.
We analyze the dynamical evolution of a fluid with nonlinear drag, for which binary collisions are elastic, described at the kinetic level by the Enskog-Fokker-Planck equation. This model system, rooted in the theory of nonlinear Brownian motion, displays a really complex behavior when quenched to low temperatures. Its glassy response is controlled by a long-lived nonequilibrium state, independent of the degree of nonlinearity and also of the Brownian-Brownian collisions rate. The latter property entails that this behavior persists in the collisionless case, where the fluid is described by the nonlinear Fokker-Planck equation. The observed response, which includes nonexponential, algebraic, relaxation, and strong memory effects, presents scaling properties: the time evolution of the temperature-for both relaxation and memory effects-falls onto a master curve, regardless of the details of the experiment. To account for the observed behavior in simulations, it is necessary to develop an extended Sonine approximation for the kinetic equation-which considers not only the fourth cumulant but also the sixth one.
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