TY - JOUR
T1 - Localized and cellular patterns in a vibrated granular layer
AU - Tsimring, Lev S.
AU - Aranson, Igor S.
PY - 1997/7/14
Y1 - 1997/7/14
N2 - We propose a phenomenological model for pattern formation in a vertically vibrated layer of granular material. This model exhibits a variety of stable cellular patterns, including standing rolls and squares as well as localized objects (oscillons and worms), similar to recent experimental observations [Umbanhowar, Melo, and Swinney, Nature (London) 382, 793 (1996)]. The model is an amplitude equation for the parametrical instability coupled to the mass conservation law. The structure and dynamics of the solutions resemble closely the properties of localized and cellular patterns observed in the experiments.
AB - We propose a phenomenological model for pattern formation in a vertically vibrated layer of granular material. This model exhibits a variety of stable cellular patterns, including standing rolls and squares as well as localized objects (oscillons and worms), similar to recent experimental observations [Umbanhowar, Melo, and Swinney, Nature (London) 382, 793 (1996)]. The model is an amplitude equation for the parametrical instability coupled to the mass conservation law. The structure and dynamics of the solutions resemble closely the properties of localized and cellular patterns observed in the experiments.
UR - http://www.scopus.com/inward/record.url?scp=0001003162&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001003162&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.79.213
DO - 10.1103/PhysRevLett.79.213
M3 - Article
AN - SCOPUS:0001003162
SN - 0031-9007
VL - 79
SP - 213
EP - 216
JO - Physical review letters
JF - Physical review letters
IS - 2
ER -