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Effective interactions between like-charged particles immersed in an electrolyte solution were calculated using two integral equation theories, hypernetted-chain (HNC)-Ornstein--Zernike (OZ) and ionic Percus--Yevick 2 (IPY2)-OZ. When the…

Soft Condensed Matter · Physics 2022-10-26 Michika Takeda , Kotetsu Maruyama , Ryo Akiyama , Tatsuhiko Miyata

This thesis explores the evolution of liquid-state theories based on the Ornstein-Zernike (OZ) equation, summarizing the foundational methods developed by Baxter, Lebowitz, Wertheim, and others. A unifying feature of these approaches is…

Mathematical Physics · Physics 2026-04-07 Jianzhong Wu

A key challenge for soft materials design and coarse-graining simulations is determining interaction potentials between components that give rise to desired condensed-phase structures. In theory, the Ornstein-Zernike equation provides an…

Soft Condensed Matter · Physics 2021-02-22 Rhys E. A. Goodall , Alpha A. Lee

We study fluid structure and water-like anomalies of a system constituted by dimeric particles interacting via a purely repulsive core-softened potential by means of integral equation theories. In our model, dimers interact through a…

Soft Condensed Matter · Physics 2017-03-08 Gianmarco Munaò , Franz Saija

Soft pair potentials predict a reentrant liquid phase for high concentrations, a behavior not observed experimentally. Here, very soft microgels confined at an oil-water interface are used as a model system of particles interacting via a…

We discuss the reliability of integral-equation methods based on several commonly used closure relations in determining the phase diagram of coarse-grained models of soft-matter systems characterized by mutually interacting soft and…

Soft Condensed Matter · Physics 2015-10-28 Roberto Menichetti , Andrea Pelissetto , Giuseppe D'Adamo , Carlo Pierleoni

Near-critical binary mixtures containing ions and confined between two charged and selective surfaces are studied within a Landau-Ginzburg theory extended to include electrostatic interactions. Charge density profiles and the effective…

Soft Condensed Matter · Physics 2012-02-28 Faezeh Pousaneh , Alina Ciach , Anna Maciolek

We present a comparison of methods for treating the electrostatic interactions of finite, isolated systems within periodic boundary conditions (PBCs), within Density Functional Theory (DFT), with particular emphasis on linear-scaling (LS)…

Computational Physics · Physics 2011-12-07 N. D. M. Hine , J. Dziedzic , P. D. Haynes , C. K. Skylaris

We proposed utilizing a medium with a high optical depth (OD) and a Rydberg state of low principal quantum number, $n$, to create a weakly-interacting many-body system of Rydberg polaritons, based on the effect of electromagnetically…

Polymer reference interaction site model (PRISM) theory, a descendent of Ornstein-Zernike liquid state theory, is a powerful tool to predict the structure and thermodynamics of equilibrium polymer systems, but its accuracy and applicability…

Soft Condensed Matter · Physics 2025-11-19 Zhihao Feng , Christian T. Randolph , Tyler B. Martin , Thomas E. Gartner

Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the…

Soft Condensed Matter · Physics 2015-10-09 M. Heinen , J. Horbach , H. Löwen

The combination of high optical nonlinearity in the electromagnetically induced transparency (EIT) effect and strong electric dipole-dipole interaction (DDI) among the Rydberg-state atoms can lead to important applications in quantum…

Quantum Physics · Physics 2020-09-14 Shih-Si Hsiao , Ko-Tang Chen , Ite A. Yu

A novel integral equations approach is applied for studying ion pairing in the restricted primitive model (RPM) electrolyte, i. e., the three point extension (TPE) to the Ornstein-Zernike integral equations. In the TPE approach, the…

Soft Condensed Matter · Physics 2007-05-23 Felipe Jimenez-Angeles , Rene Messina , Christian Holm , Marcelo Lozada-Cassou

We discuss structural and thermodynamical properties of Baxter's adhesive hard sphere model within a class of closures which includes the Percus-Yevick (PY) one. The common feature of all these closures is to have a direct correlation…

Statistical Mechanics · Physics 2009-11-10 Domenico Gazzillo , Achille Giacometti

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

Chemical Physics · Physics 2009-11-10 Stephan Kümmel , John P. Perdew

We have studied the structure and thermodynamic properties of isotropic three-dimensional core-softened fluid by using the second-order Ornstein-Zernike integral equations completed by the hypernetted chain and Percus-Yevick closures. The…

Soft Condensed Matter · Physics 2011-06-17 O. Pizio , Z. Sokolowska , S. Sokolowski

We investigate the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory (LGT) model with hard-core bosons at half-filling, extending previous studies by including second nearest-neighbor (2NN) interactions.…

Strongly Correlated Electrons · Physics 2025-12-12 Yeimer Zambrano , Aleksey Alekseev , Konrad J. Kapcia , Krzysztof Cichy , Agnieszka Cichy

Interfaces between demixed fluid phases of binary mixtures of hard platelets are investigated using density-functional theory. The corresponding excess free energy functional is calculated within a fundamental measure theory adapted to the…

Soft Condensed Matter · Physics 2011-09-14 M. Bier , L. Harnau , S. Dietrich

Van der Waals hosts intercalated with transition metal (TM) ions exhibit a range of magnetic properties strongly influenced by the structural order of the intercalants. However, predictive computational models for the intercalant ordering…

Materials Science · Physics 2024-10-28 Isaac M. Craig , B. Junsuh Kim , David T. Limmer , D. Kwabena Bediako , Sinéad M. Griffin

In this paper, we present a continuation of our research on modeling electrolyte solutions within charged slit pores. We make use of the model developed by Blossey et al., which takes into account the structural interactions between ions…

Soft Condensed Matter · Physics 2023-07-26 Victoria A. Vasileva , Daria A. Mazur , Yury A. Budkov
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