Fate of Boltzmann's breathers: Stokes hypothesis and anomalous thermalization
arXiv:2312.09726 · doi:10.1103/PhysRevLett.132.027101
Abstract
Boltzmann showed that in spite of momentum and energy redistribution through collisions, a rarefied gas confined in a isotropic harmonic trapping potential does not reach equilibrium; it evolves instead into a breathing mode where density, velocity and temperature oscillate. This counter-intuitive prediction is upheld by cold atoms experiments. Yet, are the breathers eternal solutions of the dynamics even in an idealized and isolated system? We show by a combination of hydrodynamic arguments and Molecular Dynamics simulations that an original dissipative mechanism is at work, where the minute and often neglected bulk viscosity eventually thermalizes the system, that thus reaches equilibrium.
References in corpus (7)
- Theoretical perspective on the glass transition and amorphous materials
- Shortcuts to adiabaticity: concepts, methods, and applications
- Nonequilibrium Statistical Mechanics of Systems with Long-Range Interactions: Ubiquity of Core-Halo Distributions
- Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
- Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
- Persistence of a Non-Equilibrium State: Observation of a Boltzmannian Special Case
- Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid