corner
corner

Phys. Rev. E 57, R1239–R1242 (1998)

Oscillons, spiral waves, and stripes in a model of vibrated sand

Download: PDF (322 kB) Buy this article Export: BibTeX or EndNote (RIS)

Daniel H. Rothman
Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 20 May 1997; revised 14 October 1997; published in the issue dated February 1998

A semicontinuum model of a thin layer of vibrated sand is proposed that qualitatively reproduces experimental observations of localized subharmonic excitations (“oscillons”) in addition to globally striped patterns. Numerical simulations recover a phase diagram similar to experimental observations and physical mechanisms for the transitions across phase boundaries are proposed. A scaling law is given for the size of the stripes and oscillons. Simulations in a different region of phase space reveal spiral waves.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.57.R1239
DOI:
10.1103/PhysRevE.57.R1239
PACS:
83.10.Pp, 83.70.Fn, 47.54.+r, 46.10.+z