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Machine learning of the quantitative relationship between local environment descriptors and the potential energy surface of a system of atoms has emerged as a new frontier in the development of interatomic potentials (IAPs). Here, we…

The shear-modulus and yield-stress of amorphous solids are important material parameters, with the former determining the rate of increase of stress under external strain and the latter being the stress value at which the material flows in…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia , Emily S. C. Ching , H. G. E Hentschel

The pair- and three-proton interaction potentials for metal-phase hydrogen are calculated. Irreducible three-proton interactions are shown to be essential in the development of the metal hydrogen structure. Possible manifestations of the…

Materials Science · Physics 2007-05-23 E. V. Vasiliu , S. D. Kaim , N. P. Kovalenko

We introduce the proper orthogonal descriptors for efficient and accurate interatomic potentials of multi-element chemical systems. The potential energy surface of a multi-element system is represented as a many-body expansion of…

Chemical Physics · Physics 2024-05-01 Ngoc-Cuong Nguyen

In this paper I propose a new model for representing the formation energies of multicomponent crystalline alloys as a function of atom types. In the cases when displacements of atoms from their equilibrium positions are not large, the…

Computational Physics · Physics 2017-08-02 Alexander Shapeev

We present a general method based on nonlinear response theory to obtain effective interactions between ions in an electron gas which can also be applied to other systems where an adiabatic separation of time-scales is possible. Nonlinear…

Materials Science · Physics 2007-10-05 Simon Gravel , N. W. Ashcroft

Using molecular dynamics simulations we study the temperature-density phase diagram of a simple model system of particles in two dimensions. In addition to translational degrees of freedom, each particle has two internal states and…

Soft Condensed Matter · Physics 2013-05-29 Chandana Mondal , Surajit Sengupta

Machine Learning Interatomic Potentials play a fundamental role in computational chemistry and materials science, enabling applications from molecular dynamics simulations to drug design and materials discovery. While recent approaches can…

Machine Learning · Computer Science 2026-05-12 Amir Masoud Nourollah , Irtaza Khalid , Stefano Leoni , Steven Schockaert

In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle…

Nuclear Theory · Physics 2025-12-01 Wolfgang Bentz , Ian C. Cloët

Statistical systems composed of atoms interacting with each other trough nonintegrable interaction potentials are considered. Examples of these potentials are hard-core potentials and long-range potentials, for instance, the Lennard-Jones…

Statistical Mechanics · Physics 2016-08-03 V. I. Yukalov

We propose a simple scheme to construct composition-dependent interatomic potentials for multicomponent systems that when superposed onto the potentials for the pure elements can reproduce not only the heat of mixing of the solid solution…

Materials Science · Physics 2012-01-31 B. Sadigh , P. Erhart , A. Stukowski , A. Caro

Understanding the interactions of a solute with its environment is of fundamental importance in chemistry and biology. In this work, we propose a deep neural network architecture for atom type embeddings in its molecular context and…

Machine Learning · Computer Science 2023-09-28 Sehan Lee , Jaechang Lim , Woo Youn Kim

We investigate the local and global optimality of the triangular, square, simple cubic, face-centred-cubic (FCC), body-centred-cubic (BCC) lattices and the hexagonal-close-packing (HCP) structure for a potential energy per point generated…

Mathematical Physics · Physics 2019-10-23 Laurent Bétermin

We present a general-purpose machine learning (ML) interatomic potential for carbon and hydrogen which is capable of simulating various materials and molecules composed of these elements. This ML interatomic potential is trained using the…

Chemical Physics · Physics 2024-09-13 Rina Ibragimova , Mikhail S. Kuklin , Tigany Zarrouk , Miguel A. Caro

A theoretical approach is described for an exact numerical treatment of a pair of ultracold atoms interacting via a central potential that are trapped in a finite three-dimensional optical lattice. The coupling of center-of-mass and…

Atomic Physics · Physics 2015-05-28 Sergey Grishkevich , Simon Sala , Alejandro Saenz

We consider a simple model for the assembly of chiral molecules in two dimensions driven by maximization of the contact area. We derive a macroscopic model described by a parameter taking nine possible values corresponding to the possible…

Mathematical Physics · Physics 2015-12-04 Andrea Braides , Adriana Garroni , Mariapia Palombaro

The concept of basic chemical models is introduced, which is new from the standpoint of the physics of nonideal atomic plasma. This concept is based on the requirement of full conformity of the expression for free energy in the chemical…

Plasma Physics · Physics 2015-06-26 A. L. Khomkin , I. A. Mulenko , A. S. Shumikhin

The temporal evolution of the levels in a three-level laser is macroscopically described by a closed set of rate equations. Here, we complement this picture by providing a model which describes through chemical reactions how the levels are…

Optics · Physics 2021-04-13 Peter Muys

We develop and analyze a framework for consistent QM/MM (quantum/classic) hybrid models of crystalline defects, which admits general atomistic interactions including traditional off-the-shell interatomic potentials as well as state of art…

Numerical Analysis · Mathematics 2021-08-05 Huajie Chen , Christoph Ortner , Yangshuai Wang

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest--neighbour Lennard--Jones potential are computed by molecular--dynamics simulations. A drastic qualitative change of the…

Statistical Mechanics · Physics 2009-11-11 Stefano Lepri , Paolo Sandri , Antonio Politi