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Bounded potentials are good models to represent the effective two-body interaction in some colloidal systems, such as dilute solutions of polymer chains in good solvents. The simplest bounded potential is that of penetrable spheres, which…

Statistical Mechanics · Physics 2007-05-23 Alexandr Malijevsky , Andres Santos

We study a cell fluid model of a many-particle system with Curie-Weiss-type interaction potential. It is considered as an open system in a fixed volume partitioned into a large number of congruent cubic cells. The interaction potential…

Statistical Mechanics · Physics 2025-11-24 M. P. Kozlovskii , O. A. Dobush , R. V. Romanik , I. V. Pylyuk , M. A. Shpot

In this paper we demonstrate the feasibility and utility of an augmented version of the Gibbs ensemble Monte Carlo method for computing the phase behavior of systems with strong, extremely short-ranged attractions. For generic potential…

Soft Condensed Matter · Physics 2007-05-23 P. Charbonneau , D. R. Reichman

Using computer simulations and a thermodynamically self consistent integral equation we investigate the phase behaviour and thermodynamic anomalies of a fluid composed of spherical particles interacting via a two-scale ramp potential (a…

Soft Condensed Matter · Physics 2008-02-27 E. Lomba , N. G. Almarza , C. Martin , C. McBride

It has been conjectured that bridge functions remain nearly invariant along phase diagram lines of constant excess entropy for the class of R-simple liquids. In the companion paper, this hypothesis has been confirmed for Yukawa bridge…

Soft Condensed Matter · Physics 2024-01-05 F. Lucco Castello , P. Tolias , J. C. Dyre

This paper describes an application of the Quantum Approximate Optimisation Algorithm (QAOA) to efficiently find approximate solutions for computational problems contained in the polynomially bounded NP optimisation complexity class (NPO…

Quantum Physics · Physics 2021-07-28 Samuel Marsh , Jingbo Wang

Based on primitive model computer simulations with explicit microions, we calculate the effective interactions in a binary mixture of charged colloids with species $A$ and $B$ for different size and charge ratios. An optimal pairwise…

Soft Condensed Matter · Physics 2009-03-12 Allahyarov Löwen

Various Monte Carlo techniques are used to determine the complete phase diagrams of the square well model for the attractive ranges $\lambda = 1.15$ and $\lambda = 1.25$. The results for the latter case are in agreement with earlier Monte…

Statistical Mechanics · Physics 2009-11-10 D. L. Pagan , J. D. Gunton

We analyze a one-component simple fluid in a liquid-vapor coexistence state, which forms an arbitrarily curved interface. By using an approach based on density functional theory, we obtain an exact and simple expression for the grand…

Statistical Mechanics · Physics 2015-05-30 Jose G. Segovia-Lopez , Adolfo Zamora , J. A. Santiago

The effects of the correlations in the ground state of $^{16}$O on the octupole and dipole excitations are studied using the extended random phase approximation (ERPA) derived from the time-dependent density-matrix theory. It is found that…

Nuclear Theory · Physics 2015-06-15 Mitsuru Tohyama

It is shown that in $d$-dimensional systems, the vertex corrections beyond the random phase approximation (RPA) or GW approximation scales with the power $d-\beta-\alpha$ of the Fermi momentum if the relation between Fermi energy and Fermi…

Strongly Correlated Electrons · Physics 2018-06-19 Klaus Morawetz , Vinod Ashokan , Renu Bala , Kare Narain Pathak

We provide a comprehensive presentation of the Hierarchical Reference Theory (HRT) in the smooth cut-off formulation. A simple and self-consistent derivation of the hierarchy of differential equations is supplemented by a comparison with…

Soft Condensed Matter · Physics 2015-05-13 Alberto Parola , Davide Pini , Luciano Reatto

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA…

Nuclear Theory · Physics 2021-08-25 P. Schuck , D. S. Delion , J. Dukelsky , M. Jemai , E. Litvinova , G. Roepke , M. Tohyama

In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface that mimics the (oscillating) cell membrane. The correlated…

Computational Physics · Physics 2022-03-14 Antonio Raudino , Antonio Grassi , Giuseppe Lombardo , Giovanni Russo , Clarissa Astuto , Mario Corti

We report an improved implementation for evaluating the analytical gradients of the random phase approximation (RPA) electron-correlation energy based on atomic orbitals and the localized resolution of identity scheme. The more efficient…

Materials Science · Physics 2024-04-17 Muhammad N. Tahir , Honghui Shang , Jia Li , Xinguo Ren

We provide a novel sharp-interface analysis via Gamma-convergence for a non-local and non-homogeneous diffuse-interface model for phase transitions, featuring an interplay between a non-local interaction kernel and a spatially dependent…

Analysis of PDEs · Mathematics 2025-04-24 Elisa Davoli , Emanuele Tasso

A nonlinear response theory is developed and applied to electrostatic interactions between spherical macroions, screened by surrounding microions, in charge-stabilized colloidal suspensions. The theory describes leading-order nonlinear…

Soft Condensed Matter · Physics 2009-11-10 A. R. Denton

Self Consistent Quasiparticle Random Phase Approximation (SCQRPA) is considered in application to the Fermi transitions within the O(5) model. It is demonstrated that SCQRPA improves on renormalized QRPA (RQRPA), a method that has recently…

Nuclear Theory · Physics 2009-10-31 F. Krmpotic , E. J. V. de Passos , D. S. Delion , J. Dukelsky , P. Schuck

We study thermodynamic and structural properties of a Lennard-Jones liquid at a state very close to the triple point as the radius of a hard sphere solute is varied. Oscillatory profiles arise for small, molecular sized radii while for…

Statistical Mechanics · Physics 2007-05-23 Kirill Katsov , John D. Weeks

In this work, we adapt the formalism of the dynamical vertex approximation (D$\Gamma$A), a diagrammatic approach including many-body correlations beyond the dynamical mean-field theory, to the case of attractive onsite interactions. We…

Strongly Correlated Electrons · Physics 2021-07-13 Lorenzo Del Re , Massimo Capone , Alessandro Toschi