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

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It has been recently conjectured that bridge functions remain nearly invariant along phase diagram lines of constant excess entropy for the broad class of R-simple liquids. To test this hypothesis, the bridge functions of Yukawa systems are…

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

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

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

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

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

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

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

We derive an effective coupling parameter for two-dimensional Yukawa systems based on the height of the first maximum of the pair distribution function. Two variants -- one valid in the high-coupling range, the other for arbitrary couplings…

Plasma Physics · Physics 2011-06-21 T. Ott , M. Bonitz

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

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

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

We investigate the interfacial phase behavior of a binary fluid mixture composed of repulsive point Yukawa particles. Using a simple approximation for the Helmholtz free energy functional, which yields the random phase approximation (RPA)…

Soft Condensed Matter · Physics 2009-08-10 Paul Hopkins , Andrew J. Archer , Robert Evans

Simple practical approach to estimate thermodynamic properties of strongly coupled Yukawa systems, in both fluid and solid phases, is presented. The accuracy of the approach is tested by extensive comparison with direct computer simulation…

We address the problem of predicting the solvation free energy and equilibrium solvent density profile in fews minutes from the molecular density functional theory beyond the usual hypernetted-chain approximation. We introduce a bridge…

Chemical Physics · Physics 2017-10-02 Cédric Gageat , Luc Belloni , Daniel Borgis , Maximilien Levesque

Simple practical expressions are put forward, which allow to estimate thermodynamic properties of Yukawa fluids in a wide range of coupling, up to the fluid-solid phase transition. These expressions demonstrate excellent agreement with the…

Plasma Physics · Physics 2015-02-27 Sergey Khrapak , Hubertus Thomas

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

We investigate the structure of a binary mixture of particles interacting via purely repulsive (point) Yukawa pair potentials with a common inverse screening length $\lambda$. Using the hyper-netted chain closure to the Ornstein-Zernike…

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

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
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