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We study the behaviour of total-energy supercell calculations for dipolar molecules and charged clusters. Using a cutoff Coulomb interaction within the framework of a plane-wave basis set formalism, with all other aspects of the method…

Materials Science · Physics 2009-10-30 M. R. Jarvis , I. D. White , R. W. Godby , M. C. Payne

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 have extended the multilevel summation (MLS) method, originally developed to evaluate long-range Coulombic interactions in molecular dynamics (MD) simulations [Skeel et al., J. Comput. Chem., 23, 673 (2002)], to handle dispersion…

Materials Science · Physics 2014-01-16 Daniel Tameling , Paul Springer , Paolo Bientinesi , Ahmed E. Ismail

The notion of well-separated sets is crucial in fast multipole methods as the main idea is to approximate the interaction between such sets via cluster expansions. We revisit the one-parameter multipole acceptance criterion in a general…

Numerical Analysis · Mathematics 2011-08-11 Stefan Engblom

We report a development of a new fast surface-based method for numerical calculations of solvation energy of biomolecules with a large number of charged groups. The procedure scales linearly with the system size both in time and memory…

Quantitative Methods · Quantitative Biology 2011-07-25 P. O. Fedichev , E. G. Getmantsev , L. I. Men'shikov

We propose a simple linear scaling expression in reciprocal space for evaluating the ion--electron potential of crystalline solids. The expression replaces the long-range ion--electron potential with an equivalent localized charge…

Materials Science · Physics 2016-12-21 Xuecheng Shao , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

In this work, we question the generally accepted statement that the character of intermolecular interactions can be directly determined from the scaling exponent. Based on detailed studies of polyatomic molecular systems with precisely…

Soft Condensed Matter · Physics 2024-02-14 Filip Kaśkosz , Kajetan Koperwas , Andrzej Grzybowski , Marian Paluch

Interaction of particles of many systems can be effectively approximated by multiscale interaction potentials. Such potentials are widely used for investigation of colloidal systems and colloid-polymer mixtures, complex liquids (for…

Soft Condensed Matter · Physics 2019-02-13 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

Dipolar interactions govern the structure and dynamics of many soft-matter systems, from molecular to colloids assemblies. When dipole moments are induced by an external field, mutual interactions lead to a many-body magnetization response…

Soft Condensed Matter · Physics 2026-01-30 Lucas H. P. Cunha

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an…

Numerical Analysis · Mathematics 2023-01-31 Raphael Watschinger , Michal Merta , Günther Of , Jan Zapletal

A potential function is presented for describing a system of flexible H$_2$O molecules based on the single center multipole expansion (SCME) of the electrostatic interaction. The model, referred to as SCME/f, includes the variation of the…

Computational Physics · Physics 2022-06-10 Elvar Örn Jónsson , Soroush Rasti , Marta Galynska , Jörg Meyer , Hannes Jónsson

A new Monte-Carlo method for long-range interacting systems is presented. This method consists of eliminating interactions stochastically with the detailed balance condition satisfied. When a pairwise interaction $V_{ij}$ of a $N$-particle…

Disordered Systems and Neural Networks · Physics 2015-05-13 Munetaka Sasaki , Fumitaka Matsubara

A second order extrapolation method is presented for shell model calculations, where shell model energies of truncated spaces are well described as a function of energy variance by quadratic curves and exact shell model energies can be…

Nuclear Theory · Physics 2009-11-10 Takahiro Mizusaki , Masatoshi Imada

We consider the application of Kramers theory to the microscopic calculation of rates of conformational transitions of macromolecules. The main difficulty in such an approach is to locate the transition state in a huge configuration space.…

Biomolecules · Quantitative Biology 2008-09-02 Marcello Sega , Pietro Faccioli , Francesco Pederiva , Henri Orland

Recent studies have shown that multi-step optimization based on Model Predictive Control (MPC) can effectively coordinate the increasing number of distributed renewable energy and storage resources in the power system. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

An implementation of the fast multiple method (FMM) is performed for magnetic systems with long-ranged dipolar interactions. Expansion in spherical harmonics of the original FMM is replaced by expansion of polynomials in Cartesian…

Computational Physics · Physics 2015-05-13 Wen Zhang , Stephan Haas

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations…

Strongly Correlated Electrons · Physics 2020-11-06 M. Vandelli , V. Harkov , E. A. Stepanov , J. Gukelberger , E. Kozik , A. Rubio , A. I. Lichtenstein

In the work the process of the energy transfer in the cell microtubules is simulated. A system of tryptophans connected by Coulomb dipole-dipole interaction is discussed as the energy carriers. The work models the conditions under which the…

Biological Physics · Physics 2023-03-08 Sergey Ehduardovich Shirmovsky

We present a simple and non-empirical method to determine optimal scaling coefficients, within the (spin-component)-scaled MP2 approach, for calculating intermolecular potential energies of noncovalently-interacting systems. The method is…

Chemical Physics · Physics 2017-09-13 I. Grabowski , E. Fabiano , F. Della Sala

We present a novel energy-based localization procedure able to localize molecular orbitals into specific spatial regions. The method is applied to several cases including both conjugated and non-conjugated systems. The obtained localized…

Chemical Physics · Physics 2022-09-13 Tommaso Giovannini , Henrik Koch