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Condensed Matter > Materials Science

arXiv:1503.00048 (cond-mat)
[Submitted on 28 Feb 2015]

Title:Non-affine fluctuations and the Statistics of Defect Precursors in the Planar Honeycomb Lattice

Authors:Amartya Mitra (TIFR, Hyderabad), Saswati Ganguly (IACS, Kolkata), Surajit Sengupta (TIFR, Hyderabad), Peter Sollich (King's College London)
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Abstract:Certain localised displacement fluctuations in the planar honeycomb lattice may be identified as precursors to topological defects. We show that these fluctuations are among the most pronounced {\em non-affine} distortions of an elemental coarse graining volume of the honeycomb structure at non zero temperatures. We obtain the statistics of these precursor modes in the canonical ensemble, evaluating exactly their single point and two-point spatio-temporal distributions, for a lattice with harmonic nearest neighbour and next near neighbour bonds. As the solid is destabilised by tuning interactions, the precursor fluctuations diverge and correlations become long-lived and long-ranged.
Comments: 14 pages, 7 figures, IOP format
Subjects: Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:1503.00048 [cond-mat.mtrl-sci]
  (or arXiv:1503.00048v1 [cond-mat.mtrl-sci] for this version)
  https://doi.org/10.48550/arXiv.1503.00048

Submission history

From: Surajit Sengupta [view email]
[v1] Sat, 28 Feb 2015 01:18:13 UTC (888 KB)
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