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In this paper we introduce and experimentally compare alternative algorithms to join uncertain relations. Different algorithms are based on specific principles, e.g., sorting, indexing, or building intermediate relational tables to apply…

Databases · Computer Science 2012-11-02 Matteo Magnani , Danilo Montesi

The uncertainty quantifications of theoretical results are of great importance to make meaningful comparisons of those results with experimental data and to make predictions in experimentally unknown regions. By quantifying uncertainties,…

Nuclear Theory · Physics 2018-12-10 Sota Yoshida , Noritaka Shimizu , Tomoaki Togashi , Takaharu Otsuka

Atomic radii and charges are two major parameters used in implicit solvent electrostatics and energy calculations. The optimization problem for charges and radii is under-determined, leading to uncertainty in the values of these parameters…

Biomolecules · Quantitative Biology 2017-12-25 Xiu Yang , Huan Lei , Peiyuan Gao , Dennis G. Thomas , David Mobley , Nathan A. Baker

The widespread adoption of machine learning surrogate models has significantly improved the scale and complexity of systems and processes that can be explored accurately and efficiently using atomistic modeling. However, the inherently…

Chemical Physics · Physics 2025-03-13 Federico Grasselli , Sanggyu Chong , Venkat Kapil , Silvia Bonfanti , Kevin Rossi

In alloys exhibiting substitutional disorder, the variety of atomic environments manifests itself as a `disorder broadening' in their core level binding energy spectra. Disorder broadening can be measured experimentally, and in principle…

Materials Science · Physics 2014-07-14 T. L. Underwood , G. J. Ackland , R. J. Cole

When the theoretical values of the interfacial tension -resulting from the homogeneous distribution of ionic surfactant molecules amongst the interface of emulsion drops- are plotted against the total surfactant concentration, they produce…

Soft Condensed Matter · Physics 2014-01-07 German Urbina-Villalba , Sabrina Di Scipio , Neyda Garcia-Valera

Precision measurement of small separations between two atoms or molecules has been of interest since the early days of science. Here, we discuss a scheme which yields spatial information on a system of two identical atoms placed in a…

Quantum Physics · Physics 2007-05-23 Jun-Tao Chang , Joerg Evers , Marlan O. Scully , M. Suhail Zubairy

Biomolecules exhibit conformational fluctuations near equilibrium states, inducing uncertainty in various biological properties in a dynamic way. We have developed a general method to quantify the uncertainty of target properties induced by…

Biomolecules · Quantitative Biology 2018-10-02 Huan Lei , Xiu Yang , Bin Zheng , Guang Lin , Nathan A. Baker

Computational models in chemistry rely on a number of approximations. The effect of such approximations on observables derived from them is often unpredictable. Therefore, it is challenging to quantify the uncertainty of a computational…

Chemical Physics · Physics 2017-04-21 Gregor N. Simm , Jonny Proppe , Markus Reiher

We consider the problem of determining, within an elastic isotropic nanoplate in bending, the possible presence of an inclusion made of different elastic material. Under suitable a priori assumptions on the unknown inclusion, we provide…

Analysis of PDEs · Mathematics 2023-05-10 Antonino Morassi , Edi Rosset , Eva Sincich , Sergio Vessella

Molecular-level understanding of the interactions between the constituents of an atomic structure is essential for designing novel materials in various applications. This need goes beyond the basic knowledge of the number and types of…

Recent studies suggest that cosolute mixtures may exert significant non-additive effects upon protein stability. The corresponding liquid-vapor interfaces may provide useful insight into these non-additive effects. Accordingly, in this work…

Soft Condensed Matter · Physics 2022-11-01 Varun Mandalaparthy , W. G. Noid

An analytical solution of the equations describing impurity diffusion due to the migration of nonequilibrium impurity interstitial atoms was obtained for the case of the Robin boundary condition on the surface of a semiconductor. The…

Materials Science · Physics 2008-02-26 O. I. Velichko , N. A. Sobolevskaya

Functional data analysis is proved to be useful in many scientific applications. The physical process is observed as curves and often there are several curves observed due to multiple subjects, providing the replicates in statistical sense.…

Methodology · Statistics 2018-01-30 Tapabrata Maiti , Abolfazl Safikhani , Ping-Shou Zhong

Two decades after its introduction, laser-assisted Atom Probe Tomography (La-APT) has demonstrated a unique potential for the study of the 3D distribution of atomic species in semiconductor materials and devices, and in a growing list of…

Materials Science · Physics 2026-02-17 Enrico Di Russo , François Vurpillot , Lorenzo Rigutti

An asymmetric exclusion model on an open chain with random rates for hopping particles, where overtaking is also possible, is studied numerically and by computer simulation. The phase structure of the model and the density profiles near the…

Statistical Mechanics · Physics 2007-05-23 A. Tonddast-Navaei , V. Karimipour , M. R. Ejtehadi

Predictive simulations of mixed plasma discharges, like deuterium-tritium plasmas, rely on self-consistent models for particle transport. These models have to be validated with interpretive analysis of existing experiments. Accounting for…

I discuss an issue arising in analyzing data from astronomical surveys: accounting for measurement uncertainties in the properties of individual sources detected in a survey when making inferences about the entire population of sources.…

Astrophysics · Physics 2009-11-10 Thomas J. Loredo

Phonon transmission across an interface between dissimilar crystalline solids is calculated using molecular dynamics simulations with interatomic force constants obtained from first principles. The results reveal that although inelastic…

Computational Physics · Physics 2015-06-09 Takuru Murakami , Takuma Hori , Takuma Shiga , Junichiro Shiomi

Solid/liquid interfaces control various processes of technological relevance in the process industry and many fundamental physicochemical phenomena. This work examines the link between the atomistic description of mass transfer at…

Soft Condensed Matter · Physics 2021-09-07 Aaron R Finney , Matteo Salvalaglio