2009/09/30 by Jonathan Bougie, J. Bougie
Earth and Planetary Sciences · Engineering · Materials Science · Physics and Astronomy · #Acceleration #Aeolian processes and effects #Amplitude #Classical mechanics #Dissipative system #Granular flow and fluidized beds #Material Dynamics and Properties #Mechanics #Noise (video) #Optics #Pattern formation #Physics #Quantum mechanics #Standing wave #Statistical physics #Thermal #Thermodynamics #Wavelength #cond-mat.soft
paper · pdf · doi:10.1103/physreve.81.032301
published as Phys. Rev. E 81, 032301 (2010) · 5 pages, 4 figures
openalex publication_date 2010/03/03 · arxiv created 2010/03/10 · arxiv updated 2010/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The author investigates the onset of patterns in vertically oscillated layers of dissipative particles using numerical solutions of continuum equations to Navier-Stokes order. Above a critical accelerational amplitude of the cell, standing waves form stripe patterns which oscillate subharmonically with respect to the cell. Continuum simulations neglecting interparticle friction yield pattern wavelengths consistent with experiments using frictional particles. However, the critical acceleration for standing-wave formation is approximately 10% lower in continuum simulations without added noise than in molecular-dynamics simulations. This Brief Report incorporates fluctuating hydrodynamics theory into continuum simulations by adding noise terms with no fit parameters; this modification yields a critical acceleration in agreement with molecular-dynamics simulations.