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Title: Emergence of linear elasticity from the atomistic description of matter

Abstract

We investigate the emergence of the continuum elastic limit from the atomistic description of matter at zero temperature considering how locally defined elastic quantities depend on the coarse graining length scale. Results obtained numerically investigating different model systems are rationalized in a unifying picture according to which the continuum elastic limit emerges through a process determined by two system properties, the degree of disorder, and a length scale associated to the transverse low-frequency vibrational modes. The degree of disorder controls the emergence of long-range local shear stress and shear strain correlations, while the length scale influences the amplitude of the fluctuations of the local elastic constants close to the jamming transition.

Authors:
 [1];  [1];  [2]
  1. Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University (Singapore)
  2. (Italy)
Publication Date:
OSTI Identifier:
22678972
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 145; Journal Issue: 5; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; ELASTICITY; EXPERIMENTAL DATA; TEMPERATURE RANGE 0065-0273 K

Citation Formats

Cakir, Abdullah, E-mail: acakir@ntu.edu.sg, Pica Ciamarra, Massimo, and Dipartimento di Scienze Fisiche, CNR–SPIN, Università di Napoli Federico II, I-80126 Napoli. Emergence of linear elasticity from the atomistic description of matter. United States: N. p., 2016. Web. doi:10.1063/1.4960184.
Cakir, Abdullah, E-mail: acakir@ntu.edu.sg, Pica Ciamarra, Massimo, & Dipartimento di Scienze Fisiche, CNR–SPIN, Università di Napoli Federico II, I-80126 Napoli. Emergence of linear elasticity from the atomistic description of matter. United States. doi:10.1063/1.4960184.
Cakir, Abdullah, E-mail: acakir@ntu.edu.sg, Pica Ciamarra, Massimo, and Dipartimento di Scienze Fisiche, CNR–SPIN, Università di Napoli Federico II, I-80126 Napoli. Sun . "Emergence of linear elasticity from the atomistic description of matter". United States. doi:10.1063/1.4960184.
@article{osti_22678972,
title = {Emergence of linear elasticity from the atomistic description of matter},
author = {Cakir, Abdullah, E-mail: acakir@ntu.edu.sg and Pica Ciamarra, Massimo and Dipartimento di Scienze Fisiche, CNR–SPIN, Università di Napoli Federico II, I-80126 Napoli},
abstractNote = {We investigate the emergence of the continuum elastic limit from the atomistic description of matter at zero temperature considering how locally defined elastic quantities depend on the coarse graining length scale. Results obtained numerically investigating different model systems are rationalized in a unifying picture according to which the continuum elastic limit emerges through a process determined by two system properties, the degree of disorder, and a length scale associated to the transverse low-frequency vibrational modes. The degree of disorder controls the emergence of long-range local shear stress and shear strain correlations, while the length scale influences the amplitude of the fluctuations of the local elastic constants close to the jamming transition.},
doi = {10.1063/1.4960184},
journal = {Journal of Chemical Physics},
number = 5,
volume = 145,
place = {United States},
year = {Sun Aug 07 00:00:00 EDT 2016},
month = {Sun Aug 07 00:00:00 EDT 2016}
}