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The random phase approximation (RPA) systematically overestimates the magnitude of the correlation energy and generally underestimates cohesive energies. This originates in part from the complete lack of exchange terms, which would…

Materials Science · Physics 2018-12-12 Felix Hummel , Andreas Grüneis , Georg Kresse , Paul Ziesche

We show that the interaction potential between sterically stabilized, nearly hard-sphere [poly(methylmethacrylate)-poly(lauryl methacrylate) (PMMA-PLMA)] colloids at a water-oil interface has a negligible unscreened-dipole contribution,…

A simple optimization scheme is used to compute the density-density response function of an electron liquid. Higher order terms in the perturbation expansion beyond the random phase approximation are summed approximately by enforcing the…

Materials Science · Physics 2015-01-16 James P. Donley

In dusty (complex) plasmas, containing mesoscopic charged grains, the grain-grain interaction in many cases can be well described through a Yukawa potential. In this Review we summarize the basics of the computational and theoretical…

Plasma Physics · Physics 2009-11-13 Zoltan Donko , Gabor J. Kalman , Peter Hartmann

We study the phase diagram of a system of spherical particles interacting in three dimensions through a potential consisting of a strict hard core plus a linear repulsive shoulder at larger distances. The phase diagram (obtained…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

We present a new form of explicitly correlated wave function whose parameters are mainly linear, to circumvent the problem of the optimization of a large number of non-linear parameters usually encountered with basis sets of explicitly…

Atomic Physics · Physics 2009-11-06 Luca Bertini , Dario Bressanini , Massimo Mella , Gabriele Morosi

The accuracy of the constrained random phase approximation(cRPA) method is examined in multi-orbital Hubbard models containing all possible on-site density-density interactions. Using DMFT, we show that the effective model constructed using…

Strongly Correlated Electrons · Physics 2018-10-16 Qiang Han , B. Chakrabarti , K. Haule

We incorporate an iteratively reweighted strategy in the manifold proximal point algorithm (ManPPA) in [12] to solve an enhanced sparsity inducing model for identifying sparse yet nonzero vectors in a given subspace. We establish the global…

Optimization and Control · Mathematics 2025-02-11 Peiran Yu , Liaoyuan Zeng , Ting Kei Pong

The Random Phase and Amplitude Formalism (RPA) has significantly extended the scope of weak turbulence studies. Because RPA does not assume any proximity to the Gaussianity in the wavenumber space, it can predict, for example, how the…

Chaotic Dynamics · Physics 2014-01-15 Mitsuhiro Tanaka , Naoto Yokoyama

A theoretical study on the equation of state and the critical point behavior of hard-core double-Yukawa fluids is presented. Thermodynamic perturbation theory, restricted to first order in the inverse temperature and having the hard-sphere…

Statistical Mechanics · Physics 2016-03-23 J. Montes , M. Robles , M. López de Haro

We present an analytic proof demonstrating the equivalence between the Random Phase Approximation (RPA) to the ground state correlation energy and a ring-diagram simplification of the Coupled Cluster Doubles (CCD) equations. In the CCD…

Other Condensed Matter · Physics 2009-11-13 Gustavo E. Scuseria , Thomas M. Henderson , Danny C. Sorensen

Phase separation of the ultrasoft restricted primitive model (URPM) with Gaussian charges is re-investigated in the random phase approximation (RPA)---the 'Level A' approximation discussed by Nikoubashman, Hansen and Kahl [J. Chem. Phys.…

Statistical Mechanics · Physics 2013-02-22 Patrick B. Warren , Andrew J. Masters

Monte Carlo simulation studies are performed for the Lennard-Jones like two Yukawa (LJ2Y) potential to show how properties of this model fluid depend on the replacement of the soft repulsion by the hard-core repulsion. Different distances…

Soft Condensed Matter · Physics 2012-02-21 J. Krejcí , I. Nezbeda , R. Melnyk , A. Trokhymchuk

Slow light propagation is an important phenomenon in quantum optics. Here, we theoretically study the properties of slow light in a simple optomechanical system considering an effect of non-rotating wave approximation (NRWA) that was…

Quantum Physics · Physics 2021-02-23 Xiao-Bo Yan

It is shown that the random-phase approximation (RPA) method with its nonlinear generalization, which was previously considered as approximation, reproduces the exact solutions of the Lipkin model. The nonlinear RPA is based on an equation…

Nuclear Theory · Physics 2017-11-22 J. Terasaki , A. Smetana , F. Šimkovic , M. I. Krivoruchenko

Soft-core attractive potentials can give rise to a phase diagram with three fluid phases at different densities (gas, low-density liquid and high-density liquid), separated by first order phase transition lines ending in critical points.…

Statistical Mechanics · Physics 2009-10-22 Giancarlo Franzese

This work tests the statistical mechanical theory of hydrophobic interactions, isolates consequences of excluded volume interactions, and obtains B2 for those purposes. Cavity methods that are particularly appropriate for study of…

Biological Physics · Physics 2013-03-27 M. I. Chaudhari , S. Holleran , H. S. Ashbaugh , L. R. Pratt

Molecular dynamics simulations are used to examine the relationship between water-like anomalies and the liquid-liquid critical point in a family of model fluids with multi-Gaussian, core-softened pair interactions. The core-softened pair…

Soft Condensed Matter · Physics 2015-05-27 Evy Salcedo , Alan B. de Oliveira , Ney M. Barraz , Charusita Chakravarty , Marcia C. Barbosa

The renormalized one-loop theory is a coarse-grained theory of corrections to the self-consistent field theory (SCFT) of polymer liquids, and to the random phase approximation (RPA) theory of composition fluctuations. We present predictions…

Soft Condensed Matter · Physics 2015-05-13 Jian Qin , David C. Morse

We consider a system of interacting particles with random initial conditions. Continuum approximations of the system, based on truncations of the BBGKY hierarchy, are described and simulated for various initial distributions and types of…

Statistical Mechanics · Physics 2018-12-26 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin , Mykhailo Potomkin
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