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Based on classical statistical thermodynamics, we develop a theoretical approach that provides new insight into how macroscopic and microscopic physical properties are bridged via crystal lattice for condensed mat- ters. We find that in…

材料科学 · 物理学 2016-05-18 Koretaka Yuge

We study a continuum model of dislocation transport in order to investigate the formation of heterogeneous dislocation patterns. We propose a physical mechanism which relates the formation of heterogeneous patterns to the dynamics of a…

材料科学 · 物理学 2018-08-29 Ronghai Wu , Daniel Tüzes , Péter Dusán Ispánovity , István Groma , Michael Zaiser

We find an order-disorder transition from crystals to disordered crystals for static packings of frictionless spheres. While the geometric indicators are mostly blind to the transition, disordered crystals already exhibit properties apart…

软凝聚态物质 · 物理学 2015-10-26 Hua Tong , Peng Tan , Ning Xu

By analyzing the longitudinal conductivity in a quantizing magnetic field directed perpendicularly to the crystal lattice layers, it has been demonstrated that the layered-structure effects can be observed not only in crystals with highly…

介观与纳米尺度物理 · 物理学 2011-02-09 P. V. Gorskyi

Conventional discrete-to-continuum approaches have seen their limitation in describing the collective behaviour of the multi-polar configurations of dislocations, which are widely observed in crystalline materials. The reason is that…

材料科学 · 物理学 2016-04-12 Stephen Jonathan Chapman , Yang Xiang , Yichao Zhu

Changes in lattice structure across sub-regions of protein crystals are challenging to assess when relying on whole crystal measurements. Because of this difficulty, macromolecular structure determination from protein micro and nano…

We develop a fully coupled theoretical description of dislocation dynamics on deformable crystalline surfaces, using continuum modeling and the amplitude-phase-field crystal (APFC) framework extended to curved geometries. We derive a…

软凝聚态物质 · 物理学 2026-02-17 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

We rigorously derive a strain-gradient model of plasticity as a $\Gamma$-limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference from previous such derivations is the elemental notion of…

偏微分方程分析 · 数学 2026-03-03 Raz Kupferman , Cy Maor

When the discrete time-translation symmetry of isolated, periodically driven systems is spontaneously broken, a new phase of matter can emerge. We review some recent developments on both the theoretical underpinnings and experimental…

量子物理 · 物理学 2018-11-28 Norman Y. Yao , Chetan Nayak

We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pairwise potentials, with bonds modeled as linearized elastic…

By examining the behaviour of the "SLAC" lattice derivative operators, it is found that lattices with an even number of sites have a somewhat strange self-consistency requirement for extra structure in the spatial derivative operator, which…

高能物理 - 格点 · 物理学 2007-05-23 John Costella

Crystal lattice deformations can be described microscopically by explicitly accounting for the position of atoms or macroscopically by continuum elasticity. In this work, we report on the description of continuous elastic fields derived…

材料科学 · 物理学 2019-04-25 Marco Salvalaglio , Axel Voigt , Ken R. Elder

Microcrystals deform very differently from their macroscopic counterparts, displaying a size-dependent yield stress and intermittent plastic strain bursts. Here we demonstrate that size effects and strain bursts may be just two different…

材料科学 · 物理学 2012-04-04 Valentina Beato , Michael Zaiser , Stefano Zapperi

Dislocation pileups directly impact the material properties of crystalline solids through the arrangement and collective motion of interacting dislocations. We study the statistical mechanics of these ordered defect structures embedded in…

统计力学 · 物理学 2021-03-03 Grace H. Zhang , David R. Nelson

Although glassy relaxation is typically associated with disorder, here we report on a new type of glassy dynamics relating to dislocations within 2-D crystals of colloidal dimers. Previous studies have demonstrated that dislocation motion…

软凝聚态物质 · 物理学 2010-08-12 Sharon J. Gerbode , Umang Agarwal , Desmond C. Ong , Chekesha M. Liddell , Fernando Escobedo , Itai Cohen

Cellular patterns formed by self-organization of dislocations are a most conspicuous feature of dislocation microstructure evolution during plastic deformation. To elucidate the physical mechanisms underlying dislocation cell structure…

材料科学 · 物理学 2020-07-20 Ronghai Wu , Michael Zaiser

The lattice dynamics of coesite has been studied by a combination of diffuse x-ray scattering, inelastic x-ray scattering and an ab initio lattice dynamics calculation. The combined technique gives access to the full lattice dynamics in…

Using molecular dynamics we study the dependence of the friction force on the sliding speed when an elastic slab (block) is sliding on a rigid substrate with a ${\rm sin} (q_0 x)$ surface height profile. The friction force is nearly…

软凝聚态物质 · 物理学 2020-02-24 J. Wang , A. Tiwari , I. M. Sivebaek , B. N. J Persson

We present a simple laboratory experiment to illustrate some aspects of the soliton theory in discrete lattices with a system that models the dynamics of dislocations in a crystal or the properties of adsorbed atomic layers. The apparatus…

斑图形成与孤子 · 物理学 2009-10-31 Claude Laroche , Thierry Dauxois , Michel Peyrard

We investigate low energy structures of a lattice with dislocations in the context of nonlinear elasticity. We show that these low energy configurations exhibit in the limit a Cosserat-like behavior. Moreover, we give bounds from above and…

数学物理 · 物理学 2017-03-10 Gianluca Lauteri , Stephan Luckhaus