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Solid He4 is viewed as a nearly perfect Debye solid. Yet, recent calorimetry indicates that its low-temperature specific heat has both cubic and linear contributions. These features appear in the same temperature range ($T \sim 200$ mK)…

Superconductivity · Physics 2013-05-29 A. V. Balatsky , M. J. Graf , Z. Nussinov , S. A. Trugman

Crystal grains of solid $^4$He can move in relation to each other even when embedded inside the solid. In this work, we characterize a macroscopic motion of solid hcp $^4$He composed of such grains. Motion is induced by applying an external…

Materials Science · Physics 2015-06-11 Ethan Livne , Anna Eyal , Ori Scaly , Emil Polturak

High-entropy alloys (HEAs) are complex alloys containing multiple elements in high concentrations. Plasticity in HEAs is carried by dislocations, but the random nature of their composition pins dislocations, effectively hindering their…

Materials Science · Physics 2024-10-30 Hoa Thi Le , Wolfram G. Nöhring , Lars Pastewka

A theory for conduction electron scattering by inhomogeneous crystal lattice strains is developed, based on the differential geometric treatment of deformations in solids. The resulting fully covariant Schr\"odinger equation shows that the…

Materials Science · Physics 2015-02-02 Koushik Viswanathan , Srinivasan Chandrasekar

We contend that the arguments provided in Phys. Rev. Lett. 130, 016001 (2023), purporting to show the absence of off-diagonal long-range order in hcp $^4$He dislocation cores are misleading and incorrect. In particular, the one-body density…

Other Condensed Matter · Physics 2023-12-10 M. Boninsegni , A. Kuklov , L. Pollet , N. Prokof'ev , B. Svistunov

This paper focuses on an elastic dislocation problem that is motivated by applications in the geophysical and seismological communities. In our model, the displacement satisfies the Lam\'e system in a bounded domain with a mixed homogeneous…

Analysis of PDEs · Mathematics 2025-07-15 Huaian Diao , Hongyu Liu , Qingle Meng

Dislocations govern the properties of any crystals. Yet, how dislocation of pentagonheptagon (5|7) in grain boundaries (GBs) affects the mechanical properties of two-dimensional MoS2 crystals remains poorly known. Using atomistic…

Materials Science · Physics 2021-07-13 Li Yang , Jinjie Liu , Yanwen Lin , Ke Xu , Xuezheng Cao , Zhisen Zhang , Jianyang Wu

A physically-informed continuum crystal plasticity model is presented to elucidate the deformation mechanisms and dislocation evolution in body-centered-cubic (bcc) tantalum widely used as a key structural material for mechanical and…

We consider a variational anti-plane lattice model and demonstrate that at zero temperature, there exist locally stable states containing screw dislocations, given conditions on the distance between the dislocations, and on the distance…

Analysis of PDEs · Mathematics 2016-07-20 Thomas Hudson , Christoph Ortner

We argue that the three key phenomena recently observed in solid $^4$He---mass supertransport, anomalous isochoric compressibility (syringe effect), and giant plasticity---are closely linked to each other through the physics of an…

Other Condensed Matter · Physics 2014-11-19 Anatoly Kuklov , Lode Pollet , Nikolay Prokof'ev , Boris Svistunov

Using Path Integral Monte Carlo we calculate exchange frequencies in bulk hcp 4He as atoms undergo ring exchange. We fit the frequencies to a lattice model and examine whether such atoms could become a supersolid, that is have a…

Statistical Mechanics · Physics 2007-05-23 D. M. Ceperley , B. Bernu

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Statistical Mechanics · Physics 2009-11-07 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

Organic molecular crystals encompass a vast range of materials from pharmaceuticals to organic optoelectronics and proteins to waxes in biological and industrial settings. Crystal defects from grain boundaries to dislocations are known to…

Materials Science · Physics 2023-09-01 Sang T. Pham , Natalia Koniuch , Emily Wynne , Andy Brown , Sean M. Collins

We study the structural features and underlying principles of multi-dislocation ground states of a crystalline spherical cap. In the continuum limit where the ratio of crystal size to lattice spacing $W/a$ diverges, dislocations proliferate…

Soft Condensed Matter · Physics 2015-06-18 Amir Azadi , Gregory M. Grason

Metals with fcc structure may exhibit deformation twinning under specific conditions, which is an interesting but somewhat elusive aspect of their deformation behavior. It is well acknowledged that the phenomenon occurs through the…

Materials Science · Physics 2020-08-28 Sri Sadgun Reddy Pulagam , Amlan Dutta

We use a discrete dislocation dynamics (DDD) approach to study the motion of a dislocation under strong stochastic forces that may cause bending and roughening of the dislocation line on scales that are comparable to the dislocation core…

Materials Science · Physics 2018-07-26 Jianhui Zhai , Michael Zaiser

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters…

Materials Science · Physics 2018-12-04 Rajat Arora , Amit Acharya

Dislocations are a central concept in materials science, which dictate the plastic deformation and damage evolution in materials. Layered materials such as graphite admit two general types of interlayer dislocations: basal and prismatic…

A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary conditions is derived for the true placement, plastic slips, and loop functions in…

Materials Science · Physics 2015-06-12 Khanh Chau Le

Crystalline materials deform in an intermittent way via dislocation-slip avalanches. Below a critical stress, the dislocations are jammed within their glide plane due to long-range elastic interactions and the material exhibits plastic…

Soft Condensed Matter · Physics 2015-05-20 Georgios Tsekenis , Nigel Goldenfeld , Karin A. Dahmen