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An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

统计力学 · 物理学 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

We consider the Gaussian approximation for functionals of a Poisson process that are expressible as sums of region-stabilizing (determined by the points of the process within some specified regions) score functions and provide a bound on…

概率论 · 数学 2022-09-20 Chinmoy Bhattacharjee , Ilya Molchanov

The space-averaged phase-space density and entropy per particle are both fundamental observables which can be extracted from the two-particle correlation functions measured in heavy-ion collisions. Two techniques have been proposed to…

核理论 · 物理学 2009-11-06 David A. Brown , Sergei Y. Panitkin , George F. Bertsch

Flash-boiling injection is one of the most effective ways to accomplish improved atomization compared to the high-pressure injection strategy. The tiny droplets formed via flash-boiling lead to fast fuel-air mixing and can subsequently…

流体动力学 · 物理学 2023-07-10 Avijit Saha , Abhishek Y. Deshmukh , Temistocle Grenga , Heinz Pitsch

Ion clustering has been proposed as a mechanism leading to the peculiar 'anomalous underscreening' phenomenon seen for electrostatic interactions between charge surfaces immersed in concentrated electrolytes. These interactions have been…

软凝聚态物质 · 物理学 2025-12-01 Clifford E. Woodward , David Ribar , Jan Forsman

Constant temperature molecular dynamics simulations were used to study solutions of flexible polyelectrolyte chains at nonzero concentrations with explicit counterions and unscreened coulombic interactions. Counterion condensation, measured…

统计力学 · 物理学 2009-10-31 J. C. Chu , C. H. Mak

In this paper we propose to numerically assess the performance of standard Gaussian approximations to probe the posterior distribution that arises from Bayesian data assimilation in petroleum reservoirs. In particular we assess the…

应用统计 · 统计学 2012-12-11 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

The factorization theorem for organizing multiple electroweak boson emissions at future colliders with energy far above the electroweak scale is formulated. Taking the inclusive muon-pair production in electron-positron collisions as an…

高能物理 - 唯象学 · 物理学 2018-04-04 Yang-Ting Chien , Hsiang-nan Li

Computer simulations are used to test whether a recently introduced generalization of Rosenfeld's excess-entropy scaling method for estimating transport coefficients in systems obeying molecular dynamics can be extended to predict long-time…

软凝聚态物质 · 物理学 2011-10-13 Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

最优化与控制 · 数学 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

We consider distributed state estimation in a wireless sensor network without a fusion center. Each sensor performs a global estimation task---based on the past and current measurements of all sensors---using only local processing and local…

应用统计 · 统计学 2015-05-30 Ondrej Hlinka , Ondrej Sluciak , Franz Hlawatsch , Petar M. Djuric , Markus Rupp

The combinatorial explosion of empirical parameters in tens of thousands presents a tremendous challenge for extended Debye-H\"uckel models to calculate activity coefficients of aqueous mixtures of most important salts in chemistry. The…

软凝聚态物质 · 物理学 2018-03-14 Jinn-Liang Liu , Bob Eisenberg

This paper organizes McMillan-Mayer theory, the potential distribution approach, and quasi-chemical theory to provide theory for the thermodynamic effects associated with longer spatial scales involving longer time scales, thus helping to…

化学物理 · 物理学 2013-10-16 W. Zhang , X. You , L. R. Pratt

Electrolyte solutions based on the propylene carbonate (PC)-dimethoxyethane (DME) mixtures are of significant importance and urgency due to emergence of lithium-ion batteries. Solvation and coordination of the lithium cation in these…

材料科学 · 物理学 2015-02-02 Vitaly Chaban

Gaussian mixture distributions are commonly employed to represent general probability distributions. Despite the importance of using Gaussian mixtures for uncertainty estimation, the entropy of a Gaussian mixture cannot be calculated…

机器学习 · 统计学 2025-01-23 Takashi Furuya , Hiroyuki Kusumoto , Koichi Taniguchi , Naoya Kanno , Kazuma Suetake

We propose a nonlocal Poisson-Fermi model for ionic solvent that includes ion size effects and polarization correlations among water molecules in the calculation of electrostatic potential. It includes the previous Poisson-Fermi models as…

化学物理 · 物理学 2016-08-03 Dexuan Xie , Jinn-Liang Liu , Bob Eisenberg , L. Ridgway Scott

A generalized Gaussian process model (GGPM) is a unifying framework that encompasses many existing Gaussian process (GP) models, such as GP regression, classification, and counting. In the GGPM framework, the observation likelihood of the…

机器学习 · 统计学 2013-11-28 Lifeng Shang , Antoni B. Chan

In previous work we developed a new statistical method for calculating the individual activities of ions including the association of ions. Here we study multi-particle electrostatic interactions connected within higher cluster integrals…

软凝聚态物质 · 物理学 2023-05-26 W. Ebeling , H. Krienke

Metal cluster ionization potentials are important characteristics of these "artificial atoms," but extracting these quantities from cluster photoabsorption spectra, especially in the presence of thermal smearing, remains a big challenge.…

原子与分子团簇 · 物理学 2012-02-10 Abhinav Prem , Vitaly V. Kresin

The material dispersion of the [Ckmim][BF4] (k = 2,3,4,6,7,8,10) family of ionic liquids is measured at several temperatures over a broad spectral range from 300 nm to 1550 nm. The experimental curves are fitted to a modified…