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Correlation functions in concentrated ionic systems are studied within the mesoscopic theory at the level of the Gaussian approximation. The previously neglected fluctuation contribution to the inverse charge-charge correlation function is…

Soft Condensed Matter · Physics 2025-06-26 O. Patsahan , A. Ciach

Inhomogeneity of ion correlation widely exists in many physicochemical, soft matter, and biological systems. Here, we apply the modified Gaussian renormalized fluctuation theory to study the classic example of the vapor-liquid interface of…

Soft Condensed Matter · Physics 2022-11-22 Nikhil R. Agrawal , Rui Wang

We study effects of fluctuations on the mesoscopic length-scale on systems with mesoscopic inhomogeneities. Equations for the correlation function and for the average volume fraction are derived in the self-consistent Gaussian…

Soft Condensed Matter · Physics 2016-05-25 A. Ciach , W. T. Gozdz

Approximate expressions for correlation functions in binary inhomogeneous mixtures are derived in a framework of the mesoscopic theory [Ciach A., Mol. Phys., 2011, {\textbf{109}}, 1101]. Fluctuation contribution is taken into account in a…

Soft Condensed Matter · Physics 2020-05-26 A. Ciach , O. Patsahan , A. Meyra

The correlation functions of an ionic fluid with charge and size asymmetry are studied within the framework of the random phase approximation. The results obtained for the charge-charge correlation function demonstrate that the…

Statistical Mechanics · Physics 2016-08-31 Oksana Patsahan , Ihor Mryglod , Jean-Michel Caillol

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

Statistical Mechanics · Physics 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

A diagrammatic kinetic theory of density fluctuations in simple dense liquids at long times, described in the preceding paper, is applied to a high density Lennard-Jones liquid to calculate various equilibrium time correlation functions.…

Statistical Mechanics · Physics 2015-06-18 Kevin R. Pilkiewicz , Hans C. Andersen

The primitive model describes ions by point charges with an additional hard-core interaction. In classical density-functional theory the mean-field electrostatic contribution can be obtained from the first order of a functional perturbation…

Soft Condensed Matter · Physics 2022-04-06 Moritz Bültmann , Andreas Härtel

Experimental measurements of interactions in ionic liquids and concentrated electrolytes over the past decade or so have revealed simultaneous monotonic and oscillatory decay modes. These observations have been hard to interpret using…

Soft Condensed Matter · Physics 2024-02-28 Timothy S. Groves , Susan Perkin

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

The decay of correlations in ionic fluids is a classical problem in soft matter physics that underpins applications ranging from controlling colloidal self-assembly to batteries and supercapacitors. The conventional wisdom, based on…

Statistical Mechanics · Physics 2018-08-22 Fabian Coupette , Alpha A. Lee , Andreas Härtel

Binary mixtures of hard-spheres with different diameters and square-well attraction between different particles are studied by theory and Monte Carlo simulations. In our mesoscopic theory, local fluctuations of the volume fraction of the…

Soft Condensed Matter · Physics 2021-10-04 O. Patsahan , A. Meyra , A. Ciach

A free energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the crystallization of fluids in three-dimensions. The symmetry…

Soft Condensed Matter · Physics 2015-06-15 Atul S. Bharadwaj , Swarn L. Singh , Yashwant Singh

We examine the equilibrium properties of hot, dilute, non-relativistic plasmas. The partition function and density correlation functions of a classical plasma with several species are expressed in terms of a functional integral over…

Plasma Physics · Physics 2009-10-31 Lowell S. Brown , Laurence G. Yaffe

Assuming an effective quadratic Hamiltonian, we derive an approximate, linear stochastic equation of motion for the density-fluctuations in liquids, composed of overdamped Brownian particles. From this approach, time dependent two point…

Soft Condensed Matter · Physics 2017-04-26 Matthias Krüger , David S. Dean

Spatial correlation functions provide a glimpse into the quantum correlations within a quantum system. Ions in a linear trap collectively form a nonuniform, discretized background on which a scalar field of phonons propagates. Trapped ions…

Quantum Physics · Physics 2009-09-29 Nicolas C. Menicucci , G. J. Milburn

We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in Statistical Associating Fluid Theory (SAFT), which is the basis of a number of recently developed…

Soft Condensed Matter · Physics 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

Effects of charge-density fluctuations on a phase behavior of the restricted primitive model (RPM) are studied within a field-theoretic formalism. We focus on a $\lambda$-line of continuous transitions between charge-ordered and…

Statistical Mechanics · Physics 2009-11-11 A. Ciach , O. Patsahan

Fracton phases are recent entrants to the roster of topological phases in three dimensions. They are characterized by subextensively divergent topological degeneracy and excitations that are constrained to move along lower dimensional…

Strongly Correlated Electrons · Physics 2018-01-24 Trithep Devakul , S. A. Parameswaran , S. L. Sondhi

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield
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