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Exponential approximation based on the first order mean spherical approximation (FMSA) is applied to the study of the structure and thermodynamics of hard-core repulsive Yukawa fluids. The proposed theory utilizes an exponential enhancement…

Soft Condensed Matter · Physics 2012-07-13 S. Hlushak , A. Trokhymchuk

We revisit the connection between equation-of-motion coupled cluster (EOM-CC) and random phase approximation (RPA) explored recently by Berkelbach [J. Chem. Phys. 149, 041103 (2018)] and unify various methodological aspects of these diverse…

Chemical Physics · Physics 2020-12-17 Varun Rishi , Ajith Perera , Rodney J. Bartlett

It was recently shown that vapor-liquid coexistence densities derived from Mie and Yukawa models collapse to define a single master curve when represented against the difference between the reduced second virial coefficient at the…

Statistical Mechanics · Physics 2015-07-14 P. Orea , A. Romero-Martínez , E. Basurto , C. A. Vargas , G. Odriozola

The structural and thermodynamic properties of fluids whose molecules interact via potentials with a hard-core plus a square well, a square shoulder, and a second square well, are considered. Those properties are derived by using a…

Soft Condensed Matter · Physics 2022-08-09 Santos B. Yuste , Andrés Santos , Mariano López de Haro

Euler alignment systems appear as hydrodynamic limits of interacting self-propelled particle systems such as the (generalized) Cucker-Smale model. In this work, we study weak solutions to an Euler alignment system on smooth, bounded,…

Analysis of PDEs · Mathematics 2023-05-24 Amoolya Tirumalai , Christos Mavridis , John S. Baras

We study the gas-liquid phase diagram and the crossover behavior of a simple model of ionic fluid: an equimolar binary mixture of equisized hard spheres interacting through screened Coulomb potentials which are repulsive between particles…

Statistical Mechanics · Physics 2014-07-17 O. Patsahan

Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of…

Nuclear Theory · Physics 2023-03-14 Giampaolo Co'

In this paper, we give a rigorous mathematical justification for the relaxation time approximation (RTA) model. We find that only the RTA with an energy-independent relaxation time can be justified in the case of hard interactions.…

High Energy Physics - Phenomenology · Physics 2026-01-28 Jin Hu

We determine the correlation energy of BN, SiO$_2$ and ice polymorphs employing a recently developed RPAx (random phase approximation with exchange) approach. The RPAx provides larger and more accurate polarizabilities as compared to the…

Materials Science · Physics 2021-09-22 Maria Hellgren , Lucas Baguet

A thermodynamically consistent density functional-perturbation theory is used to study the isostructural solid-to-solid transition which takes place in the hard sphere/attractive Yukawa system when the Yukawa tail is sufficiently…

Condensed Matter · Physics 2009-10-28 C. Rascon , L. Mederos , G. Navascues

The interaction of qubits with quantized modes of electromagnetic fields has been largely addressed in the quantum optics literature under the rotating wave approximation (RWA), where rapid oscillating terms in the qubit-mode interaction…

Quantum Physics · Physics 2017-06-06 P. C. Cárdenas , W. S. Teixeira , F. L. Semião

Based on an equations--of--motion approach for time--dependent pair correlations in strongly interacting Fermi liquids, we have developed a theory for describing the excitation spectrum of these systems. Compared to the known ``correlated''…

Other Condensed Matter · Physics 2009-11-11 Helga M. Böhm , Eckhard Krotscheck , Martin Panholzer

The particle-particle random phase approximation (pp-RPA) has been shown to be capable of describing double, Rydberg, and charge transfer excitations, for which the conventional time-dependent density functional theory (TDDFT) might not be…

Computational Physics · Physics 2017-04-26 Jianfeng Lu , Haizhao Yang

We present an efficient implementation of the random phase approximation (RPA) for molecular systems within the domain-based local pair natural orbital (DLPNO) framework. With optimized parameters, DLPNO-RPA achieves approximately 99.9%…

Chemical Physics · Physics 2025-08-18 Yu Hsuan Liang , Xing Zhang , Garnet Kin-Lic Chan , Timothy C. Berkelbach , Hong-Zhou Ye

A non-linear conjugate gradient optimization scheme is used to obtain excitation energies within the Random Phase Approximation (RPA). The solutions to the RPA eigenvalue equation are located through a variational characterization using a…

Materials Science · Physics 2011-11-21 Melissa J. Lucero , Anders M. N. Niklasson , Sergei Tretiak , Matt Challacombe

The hierarchy of pure states (HOPS) is a wavefunction-based method which can be used for numerically modeling open quantum systems. Formally, HOPS recovers the exact system dynamics for an infinite depth of the hierarchy. However,…

Chemical Physics · Physics 2018-04-18 P. -P. Zhang , C. D. B. Bentley , A. Eisfeld

Recently we have proposed (J. Chem. Phys. 128 (2008) 134508) a new rescaling of fluid density $\rho $ by its critical value $\rho_c^{2/3}$ to apply the corresponding states law for the attractive Yukawa fluids study. Analysis of precise…

Statistical Mechanics · Physics 2008-07-30 Yurko Duda , Pedro Orea

Despite extensive experimental and theoretical efforts, a concise quantitative theory to predict the occurrence of like-charge attraction (LCA) between polarizable spheres remains elusive. In this work, we first derive a novel three-point…

Soft Condensed Matter · Physics 2025-03-21 Yanyu Duan , Zecheng Gan

We present a real-space method for computing the random phase approximation (RPA) correlation energy within Kohn-Sham density functional theory, leveraging the low-rank nature of the frequency-dependent density response operator. In…

Computational Physics · Physics 2025-04-03 Boqin Zhang , Shikhar Shah , John E. Pask , Edmond Chow , Phanish Suryanarayana

We address the problem of the vapor-liquid phase transition in the restricted primitive model (RPM) using Wertheim's statistical associating fluid theory to capture the effects of ion pairing which dominate the low-temperature vapor phase.…

Soft Condensed Matter · Physics 2025-10-28 Patrick B. Warren , Andrew J. Masters
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