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Two new criteria, that involve the microscopic dynamics of the system, are proposed for the identification of clusters in continuum systems. The first one considers a residence time in the definition of the bond between pairs of particles,…

Soft Condensed Matter · Physics 2009-11-07 Luis A. Pugnaloni , Fernando Vericat

We develop an approach of calculating the many-body path integral based on the linked cluster expansion method. First, we derive a linked cluster expansion and we give the diagrammatic rules for calculating the free-energy and the pair…

Statistical Mechanics · Physics 2019-12-04 Anish Bhardwaj , Efstratios Manousakis

This note advertises a simple necessary condition for optimality that any list $N\mapsto v^x(N)$ of computer-generated putative lowest average pair energies $v^x(N)$ of clusters that consist of $N$ monomers has to satisfy, whenever the…

Atomic and Molecular Clusters · Physics 2024-09-04 Michael K. -H. Kiessling

The physical cluster originally conceived by Hill (J. Chem. Phys, 23, 617) is generalized for the case $N > 2$ in a novel way. Contrary to Hill's pairwise generalization, this definition assures that all constituent molecules of the cluster…

Statistical Mechanics · Physics 2011-11-15 Rasmus A. X. Persson

We model an isothermal aggregation process of particles/atoms interacting according to the Lennard-Jones pair potential by mapping the energy landscapes of each cluster size $N$ onto stochastic networks, computing transition probabilities…

Statistical Mechanics · Physics 2017-06-07 Yakir Forman , Maria Cameron

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

Following Sham and Rice [L. J. Sham, T. M. Rice, Phys. Rev. 144 (1966) 708] the correlated motion of particle-hole pairs is studied, starting from the general two-particle Greens function. In this way we derive a matrix equation for…

mtrl-th · Physics 2009-10-28 Walter Ekardt , Jorge M. Pacheco

We use molecular dynamics simulations in 2d to study multi-component fluid in the limiting case where {\it all the particles are different} (APD). The particles are assumed to interact via Lennard-Jones (LJ) potentials, with identical size…

Soft Condensed Matter · Physics 2015-06-23 Lenin S. Shagolsem , Dino Osmanović , Orit Peleg , Yitzhak Rabin

A linearly coupled chain of spin-polarized quantum dots is investigated under the condition that the number of electrons is equal to or less than the number of the dots. The chemical potential of the system, $\mu_{N}=E(N)-E(N-1)$,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Kicheon Kang , Min-Chul Cha , S. -R. Eric Yang

An electrodynamical coupled cluster (CC) methodology starting from a covariant formalism and an equal time approximation, and finally based on the Dirac-Fock picture of the electron and positron fields and Coulomb gauge, is given here. The…

Atomic Physics · Physics 2019-04-30 Sambhu N. Datta

Using computer simulations, we validate a simple free energy model that can be analytically solved to predict the equilibrium size of self-limiting clusters of particles in the fluid state governed by a combination of short-range attractive…

Soft Condensed Matter · Physics 2016-08-25 Jonathan A. Bollinger , Thomas M. Truskett

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff , M. Aichhorn , C. Dahnken

We investigate the basis-set convergence of electronic correlation energies calculated using coupled cluster theory and a recently proposed finite basis-set correction technique. The correction is applied to atomic and molecular systems and…

Chemical Physics · Physics 2019-10-03 Andreas Irmler , Andreas Grüneis

In previous work we developed a new statistical method for calculating the individual activities of ions including the association of ions. Here we study multi-particle electrostatic interactions connected within higher cluster integrals…

Soft Condensed Matter · Physics 2023-05-26 W. Ebeling , H. Krienke

A microscopic approach is developed to determine the excitation energetics of highly correlated quasi-particles in optically excited semiconductors based entirely on a pair-correlation function input. For this purpose, the Wannier equation…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 M. Mootz , M. Kira , S. W. Koch

A new approach to thermodynamics of simple fluids is presented. The partition function is first expressed in the reciprocal space, it is argued that the links (p,q) between 2 molecules can reasonably in the thermodynamical limit be…

General Physics · Physics 2020-03-03 Richard Bonneville

Fluids made of two-dimensional hard particles with polygonal shapes may stabilize symmetries which do not result directly from the particle shape. This is due to the formation of clusters in the fluid. Entropy alone can drive these effects,…

Soft Condensed Matter · Physics 2024-02-05 Yuri Martinez-Raton , Enrique Velasco

We use molecular dynamics simulation results on viscous binary Lennard-Jones mixtures to examine the correlation between the potential energy and the virial. In accord with a recent proposal [U. R. Pedersen et. al. Phys. Rev. Lett. 100,…

Statistical Mechanics · Physics 2009-01-08 D. Coslovich , C. M. Roland

Nuclear pairing correlations are known to play an important role in various single-particle and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson and D. Pines on similarity of nuclear pairing to electron…

Nuclear Theory · Physics 2009-11-10 Vladimir Zelevinsky , Alexander Volya

We present a novel approach to spin-adapted coupled cluster theory. This approach is based on the entanglement of an open-shell molecule with electrons in a non-interacting bath; together they form a closed-shell state. For the total…

Chemical Physics · Physics 2023-05-22 Sarai Dery Folkestad , Bendik Støa Sannes , Henrik Koch
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