Dissipative Solitary Waves in Granular Crystals

被引：123

作者：

Carretero-Gonzalez, R. ^{[2
]}

Khatri, D. ^{[1
,5
]}

Porter, Mason A. ^{[3
]}

Kevrekidis, P. G. ^{[4
]}

Daraio, C. ^{[1
,5
]}

机构：

[1] CALTECH, GALCIT, Grad Aeronaut Labs, Pasadena, CA 91125 USA

[2] San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA

[3] Univ Oxford, Inst Math, Oxford Ctr Ind & Appl Math, Oxford OX1 3LB, England

[4] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[5] CALTECH, Dept Appl Phys, Pasadena, CA 91125 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 102卷 / 02期

基金：

美国国家科学基金会;

关键词：

PROPAGATION; DYNAMICS; CHAINS;

D O I：

10.1103/PhysRevLett.102.024102

中图分类号：

O4 [物理学];

学科分类号：

070305 [高分子化学与物理];

摘要：

We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a common dissipation exponent with a material-dependent prefactor.

引用

页数：4

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