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In this paper,we present a detailed formulation to solve the scattering wave function for a multi-terminal mesoscopic system with spin-orbit coupling. In addition to terminal currents, all local quantities can be calculated explicitly by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yongjin Jiang , Liangbin Hu

We use the recently developed soft-potential-enhanced Poisson-Boltzmann (SPB) theory to study the interaction between two parallel polyelectrolytes (PEs) in monovalent ionic solutions in the weak-coupling regime. The SPB theory is fitted to…

Soft Condensed Matter · Physics 2022-09-28 Xiang Yang , Alberto Scacchi , Hossein Vahid , Maria Sammalkorpi , Tapio Ala-Nissila

The static and the dynamic properties of a size-polydisperse model ionic liquid is studied using molecular dynamics simulations. Here, size of the anions is derived from a Gaussian distribution while keeping cation size fixed, resulting in…

Soft Condensed Matter · Physics 2022-11-23 Somas Singh Urikhinbam , Lenin S. Shagolsem

This paper proposes a novel reaction-diffusion system approximation tailored for singular diffusion problems, typified by the fast diffusion equation. While such approximation methods have been successfully applied to degenerate parabolic…

Analysis of PDEs · Mathematics 2026-04-01 Hideki Murakawa , Florian Salin

Nonlinear response theory is employed to derive a closure to the polymer reference interaction site model (PRISM) equation. The closure applies to a liquid of neutral polymers at melt densities. It can be considered a molecular…

Soft Condensed Matter · Physics 2024-10-01 James P. Donley

A first-principle multiscale modeling approach is presented, which is derived from the solution of the Ornstein-Zernike equation for the coarse-grained representation of polymer liquids. The approach is analytical, and for this reason is…

Soft Condensed Matter · Physics 2009-09-09 J. McCarty , I. Y. Lyubimov , M. G. Guenza

In this paper we propose and explore a method of analysis of the scattering experimental data for uniform liquid-like systems. In our pragmatic approach we are not trying to introduce by hands an artificial small parameter to work out a…

Soft Condensed Matter · Physics 2018-01-24 E. I. Kats , A. R. Muratov

Simulation results of dense granular gases with particles of different size are compared with theoretical predictions concerning the pair-correlation functions, the collison rate, the energy dissipation, and the mixture pressure. The…

Statistical Mechanics · Physics 2007-05-23 S. Luding , O. Strauss

The so-called extended law of corresponding states, as proposed by Noro and Frenkel [J. Chem. Phys. 113, 2941 (2000)], involves a mapping of the phase behaviors of systems with short-range attractive interactions. While it has already…

Soft Condensed Matter · Physics 2015-05-20 Florian Platten , Néstor E. Valadez-Pérez , Ramón Castañeda-Priego , Stefan U. Egelhaaf

We present a comprehensive study of stationary states in a coherent medium with a quadratic or Kerr nonlinearity in the presence of localized potentials in one dimension (1D) for both positive and negative signs of the nonlinear term, as…

Quantum Gases · Physics 2023-11-29 Allison Brattley , Hongyi Huang , Kunal K. Das

Ground-state properties of a two-dimensional fluid of bosons with repulsive dipole-dipole interactions are studied by means of the Euler-Lagrange hypernetted-chain approximation. We present a self-consistent semi-analytical theory of the…

Quantum Gases · Physics 2012-10-03 Saeed H. Abedinpour , Reza Asgari , Marco Polini

Several methods for handling sloping fluid-solid interfaces with the elastic parabolic equation are tested. A single-scattering approach that is modified for the fluid-solid case is accurate for some problems but breaks down when the…

Computational Physics · Physics 2020-05-22 Michael D. Collins , Adith Ramamurti

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

From a multiple scale analysis, we find an analytic solution of spherical and cylindrical Poisson-Boltzmann theory for both a 1:2 (monovalent co-ions, divalent counter-ions) and a 2:1 (reversed situation) electrolyte. Our approach consists…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez , Emmanuel Trizac

We apply an analytical model for anisotropic, colliding Bose-Einstein condensates in a spontaneous four wave mixing geometry to evaluate the second order correlation function of the field of scattered atoms. Our approach uses quantized…

Other Condensed Matter · Physics 2009-11-13 J. Chwedenczuk , P. Zin , M. Trippenbach , A. Perrin , V. Leung , D. Boiron , C. I. Westbrook

We study a fluid-fluid phase transition of the explicit solvent model represented as a mixture of the restricted primitive model (RPM) of ionic fluid and neutral hard spherocylinders (HSC). To this end, we combine two theoretical…

Soft Condensed Matter · Physics 2022-07-26 M. Hvozd , T. Patsahan , O. Patsahan , M. Holovko

Elastic waves that propagate in polycrystalline materials attenuate due to scattering of energy out of the primary propagation direction in addition to becoming dispersive in their group and phase velocities. Attenuation and dispersion are…

Materials Science · Physics 2025-05-13 Anubhav Roy , Christopher M. Kube

We carry out theoretical analysis, Monte Carlo simulations and Machine Learning analysis to quantify microscopic rearrangements of dilute dispersions of spherical colloidal particles from coherent scattering intensity. Both monodisperse and…

Soft Condensed Matter · Physics 2025-05-23 Lijie Ding , Yihao Chen , Changwoo Do

When a cold atomic gas is illuminated by a quasi-resonant laser beam, light-induced dipole-dipole correlations make the scattering of light a cooperative process. Once a fluid description is adopted for the atoms, many scattering properties…

Optics · Physics 2013-10-23 N. Piovella , R. Bachelard , Ph. W. Courteille

Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction…

Statistical Mechanics · Physics 2019-10-03 G. Bokun , I. Kravtsiv , M. Holovko , V. Vikhrenko , D. di Caprio