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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Sollich, Peter
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Topics
Publications (17/17 displayed)
- 2022Delayed elastic contributions to the viscoelastic response of foamscitations
- 2018On the existence of thermodynamically stable rigid solidscitations
- 2017Aging and linear response in the Hébraud–Lequeux model for amorphous rheologycitations
- 2015Non-affine fluctuations and the statistics of defect precursors in the planar honeycomb latticecitations
- 2012Unified study of glass and jamming rheology in soft particle systemscitations
- 2006Simulation estimates of cloud points of polydisperse fluids
- 2006Simulation estimates of cloud points of polydisperse fluidscitations
- 2006Phase behavior of weakly polydisperse sticky hard spheres: Perturbation theory for the Percus-Yevick solution
- 2005Effects of polymer polydispersity on the phase behaviour of colloid-polymer mixturescitations
- 2005Dynamic Heterogeneity in the Glauber-Ising chain
- 2005Liquid-vapour phase behaviour of a polydisperse Lennard-Jones fluidcitations
- 2005Effects of colloid polydispersity on the phase behavior of colloid-polymer mixturescitations
- 2003Fluctuation-dissipation relations in the nonequilibrium critical dynamics of Ising modelscitations
- 2003Equivalence of driven and aging fluctuation-dissipation relations in the trap modelcitations
- 2002Observable dependence of fluctuation-dissipation relations and effective temperaturescitations
- 2001Predicting phase equilibria in polydisperse systemscitations
- 2000Aging and rheology in soft materialscitations
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article
Non-affine fluctuations and the statistics of defect precursors in the planar honeycomb lattice
Abstract
<p>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 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.</p>