On Burnett coefficients in periodic media

Conca, Carlos ; Orive, Rafael ; Vanninathan, Muthusamy (2006) On Burnett coefficients in periodic media Journal of Mathematical Physics, 47 (3). 032902_1-032902_11. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v47/i3/p03290...

Related URL: http://dx.doi.org/10.1063/1.2179048


The aim of this work is to demonstrate a curious property of general periodic structures. It is well known that the corresponding homogenized matrix is positive definite. We calculate here the next order Burnett coefficients associated with such structures. We prove that these coefficients form a tensor which is negative semidefinite. We also provide some examples showing degeneracy in multidimension.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Acoustic Wave Propagation; Periodic Structures; Classical Mechanics; Tensors; Structural Acoustics; Classical Field Theory
ID Code:55415
Deposited On:18 Aug 2011 07:08
Last Modified:18 May 2016 07:41

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