Formation of periodic and localized patterns in an oscillating granular layer

被引：25

作者：

Aranson, IS ^{[1
]}

Tsimring, LS

机构：

[1] Bar Ilan Univ, IL-52900 Ramat Gan, Israel

[2] Argonne Natl Lab, Argonne, IL 60439 USA

[3] Univ Calif San Diego, Inst Nonlinear Sci, La Jolla, CA 92093 USA

来源：

PHYSICA A | 1998年 / 249卷 / 1-4期

关键词：

D O I：

10.1016/S0378-4371(97)00437-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple phenomenological model for pattern formation in a vertically vibrated layer of granular particles is proposed. This model exhibits a variety of stable cellular patterns including standing rolls and squares as well as localized excitations (oscillons and worms), similar to recent experimental observations (Umbanhowar et al., 1996). The model is an order parameter equation for the parametrically excited waves coupled to the mass conservation law. The structure and dynamics of the solutions resemble closely the properties of patterns observed in the experiments. (C) 1998 Published by Elsevier Science B.V. All rights reserved.

引用

页码：103 / 110

页数：8

共 14 条

[1] Spontaneous wave pattern formation in vibrated granular materials [J].

Aoki, KM ;

Akiyama, T .

PHYSICAL REVIEW LETTERS, 1996, 77 (20) :4166-4169

[2]

ARANSON IS, 1990, PHYSICA D, V43, P436

[3]

EZERSKII AB, 1986, ZH EKSP TEOR FIZ, V64, P1228

[4]

Jaeger H., 1996, REV MOD PHYS, V68

[5] Rotating spirals in a Faraday experiment [J].

Kiyashko, SV ;

Korzinov, LN ;

Rabinovich, MI ;

Tsimring, LS .

PHYSICAL REVIEW E, 1996, 54 (05) :5037-5040

[6] Dissipative solitary states in driven surface waves [J].

Lioubashevski, O ;

Arbell, H ;

Fineberg, J .

PHYSICAL REVIEW LETTERS, 1996, 76 (21) :3959-3962

[7] Simulations of pattern formation in vibrated granular media [J].

Luding, S ;

Clement, E ;

Rajchenbach, J ;

Duran, J .

EUROPHYSICS LETTERS, 1996, 36 (04) :247-252

[8] HEXAGONS, KINKS, AND DISORDER IN OSCILLATED GRANULAR LAYERS [J].

MELO, F ;

UMBANHOWAR, PB ;

SWINNEY, HL .

PHYSICAL REVIEW LETTERS, 1995, 75 (21) :3838-3841

[9] TRANSITION TO PARAMETRIC WAVE PATTERNS IN A VERTICALLY OSCILLATED GRANULAR LAYER [J].

MELO, F ;

UMBANHOWAR, P ;

SWINNEY, HL .

PHYSICAL REVIEW LETTERS, 1994, 72 (01) :172-175

[10] DENSITY PATTERNS IN 2-DIMENSIONAL HOPPERS [J].

RISTOW, GH ;

HERRMANN, HJ .

PHYSICAL REVIEW E, 1994, 50 (01) :R5-R8

← 1 2 →