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We construct heteroclinic orbits for a strongly nonlocal integro-differential equation. Since the energy associated to the equation is infinite in such strongly nonlocal regime, the proof, based on variational methods, relies on a…

Analysis of PDEs · Mathematics 2019-10-29 Serena Dipierro , Stefania Patrizi , Enrico Valdinoci

The mechanical behavior of crystals is dominated by dislocation networks, their structure and their interactions with impurities or thermal phonons. However, in classical crystals, networks are usually random with impurities often forming…

Materials Science · Physics 2015-06-17 A. D. Fefferman , F. Souris , A. Haziot , J. R. Beamish , S. Balibar

High-entropy alloys (HEAs) are attracting attention due to their exceptional properties, such as enhanced mechanical toughness, superconducting robustness, and thermoelectric performance. Numerous HEAs have been developed for diverse…

Materials Science · Physics 2024-09-04 Rikuya Ishikawa , Kyohei Takae , Yoshikazu Mizuguchi , Rei Kurita

High-entropy alloys are characterized by high configurational entropy. Since the discovery of high-entropy alloys (HEA) in 2004, entropy engineering has provided a promising direction for exploiting composition, lattice disorder, band…

Materials Science · Physics 2019-11-12 S. Joseph Poon , Jian He

A phase field model is presented to investigate dislocation formation (coherency loss) and workhardening in two-phase binary alloys. In our model the elastic energy density is a periodic function of the shear and tetragonal strains, which…

Statistical Mechanics · Physics 2013-05-29 Akihiko Minami , Akira Onuki

The structure and mobility of dislocations in the layered semiconductor InSe is studied within a multiscale approach based on generalized Peierls--Nabarro model with material-specific parametrization derived from first principles. The…

Materials Science · Physics 2021-09-20 A. N. Rudenko , M. I. Katsnelson , Yu. N. Gornostyrev

The halo model is a theoretically and empirically well-motivated framework for predicting the statistics of the nonlinear matter distribution in the Universe. However, current incarnations of the halo model suffer from two major…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Fabian Schmidt

Recent experiments demonstrate a "robust superconductivity phenomenon" in niobium-based alloys, where the superconducting state remains intact and the critical temperature ($T_c$) is largely unaffected by external pressure well above tens…

Superconductivity · Physics 2025-06-23 Adam D. Smith , Wenjun Ding , Yogesh K. Vohra , Cheng-Chien Chen

Group I/II materials exhibit unexpected structural phase transitions at high pressures, providing potential insight into the origins of elemental superconductivity. We present here a computational study of elemental barium and binary…

Materials Science · Physics 2012-07-16 Joshua A. Taillon , William W. Tipton , Richard G. Hennig

Dislocations in soft condensed matter systems such as lamellar systems of polymers, liquid crystals and ternary mixtures of oil, water and surfactant (amphiphilic systems) are described in the framework of continuum elastic theory. These…

Condensed Matter · Physics 2015-06-25 R. Holyst , P. Oswald

Alloys present the great potential in catalysis because of their adjustable compositions, structures and element distributions, which unfortunately also limit the fast screening of the potential alloy catalysts. Machine learning methods are…

Materials Science · Physics 2021-07-07 Xin Li , Bo Li , Zhiwen Chen , Wang Gao , Qing Jiang

Whereas exceptional mechanical and radiation performances have been found in the emergent medium- and high-entropy alloys (MEAs and HEAs), the importance of their complex atomic environment, reflecting diversity in atomic size and…

Materials Science · Physics 2019-02-26 Yang Tong , Shijun Zhao , Hongbin Bei , Takeshi Egami , Yanwen Zhang , Fuxiang Zhang

Recent experiments in metallic solid solutions have revealed interesting correlations between static pair-displacements and the ordering behavior of these alloys. This paper discusses a simple theoretical model which successfully explains…

mtrl-th · Physics 2016-09-07 Bulbul Chakraborty

We investigate the structure and mobility of dislocations in hcp 4He crystals. In addition to fully characterizing the five elastic constants of this system, we obtain direct insight into dislocation core structures on the basal plane,…

Materials Science · Physics 2015-05-18 Renato Pessoa , S. A. Vitiello , Maurice de Koning

We have used density functional theory to study the structural stability of surface alloys. Our systems consist of a single pseudomorphic layer of $M_xN_{1-x}$ on the Ru(0001) surface, where $M$ = Fe or Co, and $N$ = Pt, Au, Ag, Cd, or Pb.…

Materials Science · Physics 2009-11-13 Madhura Marathe , Mighfar Imam , Shobhana Narasimhan

Nickel-based superalloys play a major role in many technologically relevant high temperature applications. Understanding and predicting the evolution of the phase microstructure during high temperature creep together with the evolution of…

Materials Science · Physics 2016-05-26 Ronghai Wu , Stefan Sandfeld

We propose an energy-consistent mathematical model for motion of dislocation curves in elastic materials using the idea of phase field model. This reveals a hidden gradient flow structure in the dislocation dynamics. The model is derived as…

Numerical Analysis · Mathematics 2016-01-12 Vladimir Chalupecky , Masato Kimura

Microscopic structures for fcc-based quaternary high-entropy alloys (HEA) in thermodynamically equilibrium state is examined based on first-principles (FP) calculation combined with our recently-developed theoretical approach. We find that…

Materials Science · Physics 2019-09-27 Koretaka Yuge

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk.…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Bitan Roy , Vladimir Juricic

This work studies scattering-induced elastic wave attenuation and phase velocity variation in 3D untextured cubic polycrystals with statistically equiaxed grains using the theoretical second-order approximation (SOA) and Born approximation…

Classical Physics · Physics 2022-02-17 Ming Huang , Peter Huthwaite , Stanislav I. Rokhlin , Michael J. S. Lowe