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Note: The final version of this article was published in Computers and Geosciences, Volume 206, January 2026, 106038. DOI: 10.1016/j.cageo.2025.106038. Readers should refer to the published version for the most up-to-date content.…

The bivariate normal density with unit variance and correlation $\rho$ is well-known. We show that by integrating out $\rho$, the result is a function of the maximum norm. The Bayesian interpretation of this result is that if we put a…

Statistics Theory · Mathematics 2015-11-20 Kai Zhang , Lawrence D. Brown , Edward George , Linda Zhao

The notion of periodic two-scale convergence and the method of periodic unfolding are prominent and useful tools in multiscale modeling and analysis of PDEs with rapidly oscillating periodic coefficients. In this paper we are interested in…

Analysis of PDEs · Mathematics 2021-05-28 Martin Heida , Stefan Neukamm , Mario Varga

DeePore is a deep learning workflow for rapid estimation of a wide range of porous material properties based on the binarized micro-tomography images. By combining naturally occurring porous textures we generated 17700 semi-real 3-D…

Materials Science · Physics 2020-10-13 Arash Rabbani , Masoud Babaei , Reza Shams , Ying Da Wang , Traiwit Chung

Directed energy deposition (DED), a metal additive manufacturing process, is highly susceptible to process-induced defects such as geometric deviations, lack of fusion, and poor surface finish. This work presents a build-height-synchronized…

Optics · Physics 2026-01-14 Guanzhong Hu , Wenpan Li , Rujing Zha , Ping Guo

In the first paper of this series, we introduced Voronoi correlation functions to characterize the structure of maximally random jammed (MRJ) sphere packings across length scales. In the present paper, we determine a variety of correlation…

Statistical Mechanics · Physics 2016-09-14 Michael A. Klatt , Salvatore Torquato

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

We study the properties of 2D fibre clusters and networks formed by deposition processes. We first examine the growth and scaling properties of single clusters. We then consider a network of such clusters, whose spatial distribution obeys…

Condensed Matter · Physics 2009-10-28 N. Provatas , T. Ala-Nissila , M. J. Alava

Random networks are intensively used as null models to investigate properties of complex networks. We describe an efficient and accurate algorithm to generate arbitrarily two-point correlated undirected random networks without self- or…

Statistical Mechanics · Physics 2007-10-22 Sebastian Weber , Markus Porto

We introduce a new series decomposition of the waveform constructed in the spirit of Debye expansions in scattering theory, and we use this to analyse the time-domain response of compact, horizonless bodies to scalar-field perturbations on…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Mohamed Ould El Hadj , Sam R. Dolan

We propose a two-scale neural network method for optimal control problems governed by convection-dominated convection-diffusion-reaction equations. Building on two-scale architectures developed for singularly perturbed forward problems, we…

Numerical Analysis · Mathematics 2026-05-19 Sijing Liu , Marcus Sarkis , Yi Zhang , Zhongqiang Zhang

A generic aggregate forming system in two dimensions (2D) is studied using canonical ensemble constant temperature molecular dynamics simulation. The aggregates form due to the competition between short range attraction and long range…

Soft Condensed Matter · Physics 2018-05-15 Tamoghna Das , M. M. Bandi

The paper presents two-scale numerical algorithms for stress-strain analysis of porous media featured by self-contact at pore level. The porosity is constituted as a periodic lattice generated by a representative cell consisting of elastic…

Analysis of PDEs · Mathematics 2023-01-18 Eduard Rohan , Jan Heczko

The diffraction of fast atoms at crystal surfaces is ideal for a detailed investigation of the surface electronic density. However, instead of sharp diffraction spots, most experiments show elongated streaks characteristic of inelastic…

Atomic Physics · Physics 2017-08-02 Philippe Roncin , Maxime Debiossac

In this paper we develop a model to describe the diffusion process in a porous medium. For the observed decrease in current yield, we propose other causes than difference in diffusivity, which we consider unaltered by the porous medium. The…

Chemical Physics · Physics 2012-05-10 P. C. T. DÁjello , G. L. Nunes , J. J. Piacentini , L. Lauck

The paper deals with the homogenization of deformable porous media saturated by two-component electrolytes. The model relevant to the microscopic scale describes steady states of the medium while reflecting essential physical phenomena,…

Computational Physics · Physics 2019-01-25 Jana Turjanicová , Eduard Rohan , Vladimír Lukeš

Discrete rearranging patterns include cellular patterns, for instance liquid foams, biological tissues, grains in polycrystals; assemblies of particles such as beads, granular materials, colloids, molecules, atoms; and interconnected…

Soft Condensed Matter · Physics 2009-11-13 François Graner , B. Dollet , Christophe Raufaste , Philippe Marmottant

Diffuse two-dimensional integer-valued arrays are demonstrated that have delta-like aperiodic autocorrelation and, simultaneously, the array sums form delta-like projections along several directions. The delta-projected views show a single…

Image and Video Processing · Electrical Eng. & Systems 2021-11-15 I. D. Svalbe , D. M. Paganin , T. C. Petersen

Although atomistic simulations of proteins and other biological systems are approaching microsecond timescales, the quality of trajectories has remained difficult to assess. Such assessment is critical not only for establishing the…

Quantitative Methods · Quantitative Biology 2007-05-23 Edward Lyman , Daniel M. Zuckerman

Leveraging visual priors from pre-trained text-to-image (T2I) generative models has shown success in dense prediction. However, dense prediction is inherently an image-to-image task, suggesting that image editing models, rather than T2I…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 JiYuan Wang , Chunyu Lin , Lei Sun , Rongying Liu , Lang Nie , Mingxing Li , Kang Liao , Xiangxiang Chu