Fluctuation relation and heterogeneous superdiffusion in glassy transport.

Area of Science:

• Statistical mechanics
• Non-Newtonian fluid dynamics
• Complex systems

Background:

• Understanding transport phenomena in complex fluids is crucial.
• Lattice-gas models provide simplified yet insightful frameworks for fluid behavior.
• Non-Newtonian fluids exhibit complex flow properties deviating from simple models.

Purpose of the Study:

• Investigate current fluctuations and steady-state fluctuation relations.
• Analyze these phenomena in coarse-grained lattice-gas analogs of non-Newtonian fluids.
• Examine behavior under a constant, uniform force field in regimes of small entropy production.

Main Methods:

• Utilized simple coarse-grained lattice-gas models.
• Applied a constant and uniform external force field.
• Studied systems in two regimes characterized by small entropy production.

Main Results:

• Observed non-Gaussian current fluctuations.
• Identified deviations from the expected steady-state fluctuation relation.
• Linked these deviations to growing amorphous correlations.
• Found evidence of heterogeneous anomalous diffusion regimes.

Conclusions:

• Current fluctuations in these non-Newtonian fluid analogs are non-Gaussian.
• Deviations from fluctuation relations are linked to microscopic correlations and diffusion anomalies.
• The findings offer insights into the complex dynamics of non-Newtonian fluids.