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In this work we propose a novel composite method for accurate calculation of the energies of many-electron atoms. The dominant contribution to the energy (pair energies) are calculated by using explicitly correlated factorisable coupled…

Atomic Physics · Physics 2018-12-12 Michal Przybytek , Michal Lesiuk

A closed form of the electrostatic potential of a homogeneously charged cube is derived by integration. The exact result is compared with multipole expansions for the exterior and interior of the cube. The electrostatic potential of a…

chem-ph · Physics 2008-02-03 Gerhard Hummer

Self-consistent calculations of the energy-loss spectra of charged particles moving near a plane-bounded free electron gas are reported. Energy-loss probabilities are obtained, within linear-response theory, from the knowledge of the…

Materials Science · Physics 2009-11-07 A. Garcia-Lekue , J. M. Pitarke

This is a technical document that outlines a calculation of an electrostatic interaction energy between two rods, with charge helices on them, forming a braid. We deal here with screened electrostatics. A general braid geometry is…

Mathematical Physics · Physics 2013-02-12 D. J. Lee

It has previously been proven that finding the globally minimum energy configuration of an atomic cluster belongs in the class of NP-hard problems. However, this proof is limited only to homonuclear clusters. This paper presents a new proof…

Atomic and Molecular Clusters · Physics 2007-05-23 G. W. Greenwood

Evaluation of internal energy and the inter-atomic or ionic interactions in a crystal lattice usually requires precise calculation of lattice sums. This in the case of small nano-particles (as space-limited domains) presents several…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 Yevgen Bilotsky

Nano-plasmas produced, e.g. in clusters after short-pulse laser irradiation, can show collective excitations as derived from the time evolution of fluctuations in thermodynamic equilibrium. Molecular dynamical simulations are performed for…

Plasma Physics · Physics 2018-01-17 H. Reinholz , G. Röpke , I. Broda , I. Morozov , R. Bystryi , Y. Lavrinenko

Electrostatic interactions make a large contribution to solvation free energy in ionic fluids such as electrolytes and colloidal dispersions. The electrostatic contribution to solvation free energy has been ascribed to the self-energy of a…

Statistical Mechanics · Physics 2020-02-19 Hiroshi Frusawa

We investigate numerically and on the scaling level the adsorption of a charged colloid on an oppositely charged flexible membrane. We show that the long ranged character of the electrostatic interaction leads to a wrapping reentrance of…

Biological Physics · Physics 2009-11-10 Christian C. Fleck , Roland R. Netz

Electrostatic interaction is the driving force for the encapsulation by virus coat proteins of nanoparticles such as quantum dots, gold particles and magnetic beads for, e.g., imaging and therapeutic purposes. In recent experimental work,…

Biological Physics · Physics 2015-06-11 Hsiang-Ku Lin , Paul van der Schoot , Roya Zandi

Using the embedded-atom method, the structure of small copper clusters on Au(111) electrodes has been investigated both by static and dynamic calculations. By varying the size of roughly circular clusters, the edge energy per atom is…

Materials Science · Physics 2007-05-23 M. G. Del Popolo , E. P. M. Leiva , W. Schmickler

Electric polarization typically originates from non-centrosymmetric charge distributions in compounds. In elemental crystalline materials, chemical bonds between atoms of the same element favor symmetrically distributed electron charges and…

Materials Science · Physics 2025-01-16 Xuefei Wang , Yanhan Ren , Shi Qiu , Fan Zhang , Xueao Li , Junfeng Gao , Weiwei Gao , Jijun Zhao

In non-relativistic Brueckner calculations of nuclear matter, the self-consistent single particle potential is strongly momentum dependent. To simplify the calculations, a parabolic approximation is often used in the literature. The…

Nuclear Theory · Physics 2009-11-06 M. Baldo , A. Fiasconaro

A new lattice method is presented in order to efficiently solve the electrokinetic equations, which describe the structure and dynamics of the charge cloud and the flow field surrounding a single charged colloidal sphere, or a fixed array…

Soft Condensed Matter · Physics 2015-06-05 R. Schmitz , B. Duenweg

Modern electronic structure theories can predict and simulate a wealth of phenomena in surface science and solid-state physics. In order to allow for a direct comparison with experiment, such ab initio predictions have to be made in the…

Materials Science · Physics 2020-04-15 Thomas Gruber , Ke Liao , Theodoros Tsatsoulis , Felix Hummel , Andreas Grüneis

In metallic nanoparticles, the cluster geometric structures control the particle's electronic band structure, polarizability, and catalytic properties. Analyzing the structural properties is a complex problem; the structure of an assembled…

Materials Science · Physics 2022-10-12 Jiale Shi , Shanghui Huang , François Gygi , Jonathan K. Whitmer

We consider nematic liquid crystals in a bounded, convex polyhedron described by a director field n(r) subject to tangent boundary conditions. We derive lower bounds for the one-constant elastic energy in terms of topological invariants.…

Mathematical Physics · Physics 2009-11-10 A Majumdar , JM Robbins , M Zyskin

We present the positron coupled cluster singles and doubles (POS-CCSD) method to calculate positron binding energies in molecules. This framework treats electrons and positrons on an equal footing and includes up to simultaneous…

Chemical Physics · Physics 2026-03-23 Rosario R. Riso , Jan Haakon M. Trabski , Federico Rossi , Dermot Green , Henrik Koch

We study the computation of equilibrium points of electrostatic potentials: locations in space where the electrostatic force arising from a collection of charged particles vanishes. This is a novel scenario of optimization in which…

Computational Complexity · Computer Science 2025-12-04 Abheek Ghosh , Paul W. Goldberg , Alexandros Hollender

By using the recently generalized version of Newton Shell Theorem [3] analytical equations are derived to calculate the electric interaction energy between two charged spheres, a small one is located within a larger one, and each sphere is…

Soft Condensed Matter · Physics 2021-04-13 István P. Sugár
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