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We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density -- also called crystallization -- is shown in…

Optimization and Control · Mathematics 2020-07-13 Laurent Bétermin , Hans Knüpfer , Florian Nolte

The lowest order constrained variational method is applied to calculate the polarized symmetrical nuclear matter properties with the modern $AV_{18}$ potential performing microscopic calculations. Results based on the consideration of…

Nuclear Theory · Physics 2008-11-26 G. H. Bordbar , M. Bigdeli

The exploration of solid-solid phase transition suffers from the uncertainty of how atoms in two crystal structures match. We devised a theoretical framework to describe and classify crystal-structure matches (CSM). Such description fully…

Materials Science · Physics 2024-02-22 Fang-Cheng Wang , Qi-Jun Ye , Yu-Cheng Zhu , Xin-Zheng Li

The phase diagram of the Blume--Capel model on a semi--infinite simple cubic lattice with a (100) free surface is studied in the pair approximation of the cluster variation method. Six main topologies are found, of which two are new, due to…

Condensed Matter · Physics 2015-06-25 Carla Buzano , Alessandro Pelizzola

We develop an information theoretic interpretation of the number-phase complementarity in atomic systems, where phase is treated as a continuous positive operator valued measure (POVM). The relevant uncertainty principle is obtained as an…

Quantum Physics · Physics 2015-05-13 R. Srikanth , Subhashish Banerjee

We employ a new method for studying compositionally disordered ferroelectric oxides. This method is based on the virtual crystal approximation (VCA), in which two or more component potentials are averaged into a composite atomic potential.…

Materials Science · Physics 2009-10-31 Nicholas J. Ramer , Andrew M. Rappe

Monte Carlo methods are used to study the phase transition in ammonium chloride from the orientationally ordered $\delta$ phase to the orientationally disordered $\gamma$ phase. An effective pair potential is used to model the interaction…

chem-ph · Physics 2008-02-03 Robert Q. Topper , David L. Freeman

We formulate an effective model for B-B' site ordering in double perovskite materials A_2BB'O_6. Even within the simple framework of lattice-gas type models, we are able to address several experimentally observed issues including…

Materials Science · Physics 2009-11-13 Prabuddha Sanyal , Sabyasachi Tarat , Pinaki Majumdar

The three-dimensional classical dimer model with interactions shows an unexpected continuous phase transition between an ordered dimer crystal and a Coulomb liquid. A detailed analysis of the critical dimer and monomer correlation functions…

Statistical Mechanics · Physics 2008-09-12 Gregoire Misguich , Vincent Pasquier , Fabien Alet

We formulate a patch test consistent atomistic-to-continuum coupling (a/c) scheme that employs a second-order (potentially higher-order) finite element method in the material bulk. We prove a sharp error estimate in the energy-norm, which…

Numerical Analysis · Mathematics 2016-07-21 A. S. Dedner , C. Ortner , H. Wu

We present theoretical study of ordering phenomena in binary $C_{1-x}B_{x}$, $C_{1-x}N_{x}$ and ternary $B_{x}C_{1-x-y}N_{y}$ alloys forming two-dimensional, graphene-like systems. For calculating energy of big systems (20 000 atoms in the…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Agnieszka Jamróz , Jacek A. Majewski

Double perovskites extend the design space for new materials, and they often host phenomena that don't exist in their parent perovskite compounds. Here, we present a detailed first principles study of the correlated double perovskite…

Strongly Correlated Electrons · Physics 2020-08-05 Arpita Paul , Turan Birol

The influence of pressure on the hydrogen bond ordering in the perovskite metal-organic framework [(CH3)2NH2]Mn(HCOO)3 has been investigated by dielectric, pyroelectric adn magnetic measurements in a piston-cylinder cell. Under ambient…

Materials Science · Physics 2024-03-08 Na Su , Yinina Ma , Shuang Liu , Wei Wu , Jianlin Luo , Young Sun

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

Transport phenomena are studied for a binary (AB) alloy on a rigid square lattice with nearest-neighbor attraction between unlike particles, assuming a small concentration $c_v$ of vacancies $V$ being present, to which $A(B)$ particles can…

Statistical Mechanics · Physics 2007-05-23 A. De Virgiliis , K. Binder

This manuscript presents a working model linking chemical disorder and transport properties in correlated-electron perovskites with high-entropy formulations and a framework to actively design them. We demonstrate this new learning in…

The present work deals with the formulation of a Virtual Element Method (VEM) for two dimensional structural problems. The contribution is split in two parts: in part I, the elastic problem is discussed, while in part II [3] the method is…

Numerical Analysis · Mathematics 2018-10-24 Edoardo Artioli , Lourenco Beirao da Veiga , Carlo Lovadina , Elio Sacco

Halide perovskites have been extensively studied as materials of interest for optoelectronic applications. There is a major emphasis on ways to tailor the stability, defect behavior, electronic band structure, and optical absorption in…

Materials Science · Physics 2023-09-29 Jiaqi Yang , Arun Mannodi-Kanakkithodi

The spin, charge, and lattice degrees of freedom and their interplay in high entropy oxides were intensively investigated in recent years. However, how the orbital degree of freedom is affected by the extreme disorder in high entropy oxides…

Materials Science · Physics 2024-01-17 Jiaqiang Yan , Abinash Kumar , Miaofang Chi , Matthew Brahlek , Thomas Z Ward , Michael McGuire

We describe a general method to model multicomponent ordered crystals using the phase-field crystal (PFC) formalism. As a test case, a generic B2 compound is investigated. We are able to produce a line of either first-order or second-order…

Materials Science · Physics 2017-02-15 Eli Alster , K. R. Elder , Jeffrey J. Hoyt , Peter W. Voorhees
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