Dresden 2020 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 66: Poster Session Transport
TT 66.10: Poster
Thursday, March 19, 2020, 15:00–19:00, P2/EG
Hydrodynamic Bounds to the Entropy Production in 1D Systems — •Dennis Hardt, Philipp Weiß, and Achim Rosch — Institute for Theoretical Physics, University of Cologne, Germany
A typical strategy of realizing an adiabatic change of state is to vary system parameters/quench very slowly in time τ. In the ideal case of adiabatic state preparation τ → ∞ the entropy production vanishes. This approach is hampered by hydrodynamic long-time tails, i.e. hydrodynamic fluctuations relax algebraically slowly. This behavior transfers to various observables. Therefore, a power-law decay of the entropy production ∼ τ−α is expected for slow quenches.
We investigate the non-equilibrium dynamics of a classical diatomic gas with point like particles in 1D to study the entropy production as a function of τ. In order to model the long time behavior of such a system, we simulate a large number of scattering events (∼ 109) in a population of ∼ 105 particles, over a relaxation timescale 105 times larger than the average scattering time.
The resulting curve of the entropy production shows a long-time tail ∼ τ−1/2 matching to theoretical predictions from linear fluctuating hydrodynamics.