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Related papers: Testing the isomorph invariance of the bridge func…

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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

Isomorph theory is employed in order to establish a mapping between the bridge function of Coulomb and Yukawa one-component plasmas. Within an exact invariance ansatz for the bridge functions and by capitalizing on the availability of…

Plasma Physics · Physics 2019-04-16 P. Tolias , F. Lucco Castello

In a recent paper, Lucco Castello et al. [arXiv:2107.03537] performed systematic extractions of classical one-component plasma bridge functions from molecular dynamics simulations and provided an accurate parametrization that was…

Plasma Physics · Physics 2022-01-28 F. Lucco Castello , P. Tolias

Different advanced bridge function closures are utilized to investigate the structural and thermodynamic properties of dense Yukawa one-component plasma liquids within the framework of integral equation theory. The isomorph-based…

Soft Condensed Matter · Physics 2021-01-21 F. Lucco Castello , P. Tolias

Bridge functions, the missing link in the exact description of strong correlations, are indirectly extracted from specially designed molecular dynamics simulations of classical one-component plasma liquids and accurately parameterized.…

Plasma Physics · Physics 2022-06-14 F. Lucco Castello , P. Tolias , T. Dornheim

In numerous realizations of complex plasmas, dust-dust interactions are characterized by two screening lengths and are thus better described by a combination of Yukawa potentials. The present work investigates the static correlations and…

Plasma Physics · Physics 2019-05-23 F. Lucco Castello , P. Tolias , J. S. Hansen , J. C. Dyre

The entropy of strongly coupled Yukawa fluids is discussed from several perspectives. First, it is demonstrated that a vibrational paradigm of atomic dynamics in dense fluids can be used to obtain a simple and accurate estimate of the…

Soft Condensed Matter · Physics 2024-09-18 Sergey Khrapak

This paper shows that several known properties of the Yukawa system can be derived from the isomorph theory, which applies to any system that has strong correlations between its virial and potential-energy equilibrium fluctuations. Such…

Soft Condensed Matter · Physics 2015-11-10 Arno A. Veldhorst , Thomas B. Schrøder , Jeppe C. Dyre

In recent work a general solution of the Ornstein Zernike equation for a general Yukawa closure for a single component fluid was found. Because of the complexity of the equations a simplifying assumption was made, namely that the main…

Statistical Mechanics · Physics 2007-05-23 L. Blum , J. A. Hernando

Given a prime number $p$, we study topological analogues of Iwasawa invariants associated to $\mathbb{Z}_p$-covers of the $3$-sphere that are branched along a link. We prove explicit criteria to detect these Iwasawa invariants, and apply…

Number Theory · Mathematics 2023-04-28 Cedric Dion , Anwesh Ray

Anomalous diffusion in liquids and the solid-liquid phase transition (melting) are studied in two-dimensional Yukawa systems. The self-intermediate scattering function (self-ISF), calculated from simulation data, exhibits a temporal decay,…

Plasma Physics · Physics 2011-04-20 Yan Feng , J. Goree , Bin Liu

The high frequency (instantaneous) shear modulus of three-dimensional Yukawa systems is evaluated in a wide parameter range, from the very weakly coupled gaseous state to the strongly coupled fluid at the crystallization point (Yukwa melt).…

Plasma Physics · Physics 2020-02-06 Sergey Khrapak , Boris Klumov

We analyse the $r \to \infty$ asymptotic decay of the total correlation function, $h(r)$, for a fluid composed of particles interacting via a (point) Yukawa pair potential. Such a potential provides a simple model for dusty plasmas. The…

Soft Condensed Matter · Physics 2007-05-23 P. Hopkins , A. J. Archer , R. Evans

It was suggested in the literature that the self-diffusion coefficient of simple fluids can be approximated as a ratio of the squared thermal velocity of the atoms to the "fluid Einstein frequency," which can thus serve as a rough estimate…

Soft Condensed Matter · Physics 2018-04-10 Sergey Khrapak , Boris Klumov , Lenaic Couedel

We propose simple methods for multivariate diffusion bridge simulation, which plays a fundamental role in simulation-based likelihood and Bayesian inference for stochastic differential equations. By a novel application of classical coupling…

Statistics Theory · Mathematics 2014-06-02 Mogens Bladt , Samuel Finch , Michael Sørensen

A simple analytical approach to estimate thermodynamic properties of model Yukawa systems is presented. The approach extends the traditional Debye-H\"{u}ckel theory into the regime of moderate coupling and is able to qualitatively reproduce…

Plasma Physics · Physics 2014-02-13 S. A. Khrapak , A. G. Khrapak , A. V. Ivlev , G. E. Morfill

A method to obtain (approximate) analytical expressions for the radial distribution functions in a multicomponent mixture of additive hard spheres that was recently introduced is used to obtain the direct correlation functions and bridge…

Statistical Mechanics · Physics 2008-09-15 S. B. Yuste , A. Santos , M. López de Haro

Using numerical simulations, we investigate the equilibrium dynamics of a single component fluid with Yukawa interaction potential. We show that, for a wide range of densities and temperatures, the dynamics of the system are in striking…

Plasma Physics · Physics 2015-05-28 James P. Mithen , Jérôme Daligault , Basil J. B. Crowley , Gianluca Gregori

A theoretical description of the radial density profile for charged particles with Yukawa interaction in a harmonic trap is described. At strong Coulomb coupling shell structure is observed in both computer simulations and experiments.…

Statistical Mechanics · Physics 2015-05-30 Henning Bruhn , Hanno Kählert , Torben Ott , Michael Bonitz , Jeffrey Wrighton , James Dufty

In this report the radial distribution functions (RDFs) of liquid water are calculated on the basis of the classical density functional theory combined with the reference interaction site model for molecular liquids. The bridge functions,…

Statistical Mechanics · Physics 2022-10-13 Shigenori Tanaka , Miki Nakano
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