title: Acoustic excitations and elastic heterogeneities in disordered solids.
abstract: In the recent years, much attention has been devoted to the inhomogeneous nature of the mechanical response at the nanoscale in disordered solids. Clearly, the elastic heterogeneities that have been characterized in this context are expected to strongly affect the nature of the sound waves which, in contrast to the case of perfect crystals, cannot be completely rationalized in terms of phonons. Building on previous work on a toy model showing an amorphization transition, we investigate the relationship between sound waves and elastic heterogeneities in a unified framework by continuously interpolating from the perfect crystal, through increasingly defective phases, to fully developed glasses. We provide strong evidence of a direct correlation between sound wave features and the extent of the heterogeneous mechanical response at the nanoscale.
authors.affiliation: Université Grenoble Alpes, Laboratoire Interdisciplinaire de Physique, F-38000 Grenoble, France;Centre National de la Recherche Scientifique, Laboratoire Interdisciplinaire de Physique, F-38000 Grenoble, France;
authors.forename: Hideyuki
authors.initials: H
authors.lastname: Mizuno
authors.affiliation: Université Grenoble Alpes, Institut Nanoscience et Cryogénie, Structures et Propriétés d'Architectures Moléculaires, F-38000 Grenoble, France;Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Institut Nanoscience et Cryogénie, Structures et Propriétés d'Architectures Moléculaires, F-38000 Grenoble, France;Centre National de la Recherche Scientifique, Institut Nanoscience et Cryogénie, F-38000 Grenoble, France; and stefano.mossa@cea.fr.
authors.forename: Stefano
authors.identifier: http://orcid.org/0000-0001-6335-762X
authors.initials: S
authors.lastname: Mossa
authors.affiliation: Université Grenoble Alpes, Laboratoire Interdisciplinaire de Physique, F-38000 Grenoble, France;Centre National de la Recherche Scientifique, Laboratoire Interdisciplinaire de Physique, F-38000 Grenoble, France;Institut Laue-Langevin, F-38042 Grenoble, France.
authors.forename: Jean-Louis
authors.initials: JL
authors.lastname: Barrat
keywords: amorphous materials; elasticity; molecular dynamics simulation; sound transport; vibrational properties
references.citation: Phys Rev Lett. 2004 Oct 22;93(17):175501
references.pmid: 15525087
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Apr;87(4):042306
references.pmid: 23679413
references.citation: Phys Rev Lett. 2013 Mar 1;110(9):095901
references.pmid: 23496725
references.citation: Phys Rev A Gen Phys. 1987 Nov 15;36(10):4891-4903
references.pmid: 9898748
references.citation: Nat Mater. 2011 Jun;10(6):439-42
references.pmid: 21602807
references.citation: Sci Rep. 2013;3:1407
references.pmid: 23470597
references.citation: Phys Rev Lett. 2000 May 22;84(21):4874-7
references.pmid: 10990820
references.citation: Phys Rev Lett. 2006 Feb 3;96(4):045502
references.pmid: 16486840
references.citation: Proc Natl Acad Sci U S A. 2009 Oct 6;106(40):16907-12
references.pmid: 19805115
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 2):026112
references.pmid: 19792205
references.citation: Phys Rev Lett. 2014 Jan 17;112(2):025502
references.pmid: 24484025
references.citation: Science. 2010 Aug 6;329(5992):656-8
references.pmid: 20689012
references.citation: Nat Mater. 2008 Nov;7(11):870-7
references.pmid: 18849975
references.citation: J Chem Phys. 2013 Aug 14;139(6):064506
references.pmid: 23947870
references.citation: Phys Rev Lett. 2013 May 3;110(18):185503
references.pmid: 23683216
references.citation: Proc Natl Acad Sci U S A. 2009 Mar 10;106(10):3659-63
references.pmid: 19240211
references.citation: Phys Rev Lett. 2007 Jan 12;98(2):025501
references.pmid: 17358618