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Sparse PCA is one of the most well-studied problems in high-dimensional statistics. In this problem, we are given samples from a distribution with covariance $\Sigma$, whose top eigenvector $v \in R^d$ is $s$-sparse. Existing sparse PCA…

Machine Learning · Statistics 2026-03-04 Syamantak Kumar , Purnamrita Sarkar , Kevin Tian , Peiyuan Zhang

Wettability is a pore-scale property that impacts the relative movement and distribution of fluids in a porous medium. There are reservoir fluids that provoke the surface within pores to undergo a wettability change. This wettability…

Geophysics · Physics 2020-08-18 Abay M. Kassa , Sarah E. Gasda , K. Kumar , F. A. Radu

A particle-water discrete element based approach to describe water movement in partially saturated granular media is presented and tested. Water potential is governed by both capillary bridges, dominant at low saturations, and the pressure…

Soft Condensed Matter · Physics 2013-12-05 Yixiang Gan , Federico Maggi , Giuseppe Buscarnera , Itai Einav

We investigate the random close packing density, $\phi_\textrm{RCP}$, of polydisperse hard sphere systems using a theoretical framework based on the equilibrium model of crowding. We derive a closed-form solution for $\phi_\textrm{RCP}$ in…

Soft Condensed Matter · Physics 2026-05-29 Vinay Vaibhav , Carmine Anzivino , Alessio Zaccone

The fabric of porous and fractured media contains solid regions (grains) and voids. The space conducting fluids is a system of connected voids with variable geometries. Relative to the grain sizes, the voids can be voluminous with three…

Mathematical Physics · Physics 2025-01-16 Changhao Liu , Kiprian Berbatov , Majid Sedighi , Andrey P. Jivkov

The collision dynamics of hard spheres and cylindrical pores is solved exactly, which is the minimal model for a regularly porous membrane. Nonequilibrium event-driven molecular dynamics simulations are used to show that the permeability…

Soft Condensed Matter · Physics 2021-04-23 Yue Yu , Kai Zhang

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

Understanding how pore structure influences flow and transport behaviour in granular materials is essential for addressing a wide range of geotechnical, hydraulic, and environmental challenges. These processes are largely shaped by the…

Soft Condensed Matter · Physics 2025-12-01 Jie Qi , Wenbin Fei , Guillermo A. Narsilio

The need to characterize ices coating dust grains in dense interstellar clouds arises from the importance of ice morphology in facilitating the diffusion and storage of radicals and reaction products in ices, a well-known place for the…

Instrumentation and Methods for Astrophysics · Physics 2019-06-26 Jiao He , Aspen R. Clements , SM Emtiaz , Francis Toriello , Robin T. Garrod , Gianfranco Vidali

Molecular dynamics simulations of diluted (~2.5 weight percent) aqueous solutions of two polyelectrolytes, namely sodium carboxy methyl cellulose (CMC) and sodium poly(acrylate) (PAA) have been performed. Water and counterions were taken…

In this study, we develop computational models and methodology for accurate multi-component-flow simulation in under-resolved multi-scale porous structures. It is generally impractical to fully resolve the flow in porous structures with…

A sensitive porosity adjoint method (SPAM) for optimizing the topology of fluid machines has been proposed. A sensitivity function with respect to the porosity has been developed. In the first step of the optimization process, porous media…

Fluid Dynamics · Physics 2015-12-29 B. Philippi , Y. Jin

Accurately capturing the complex interaction between CO2 and water in porous media at the pore scale is essential for various geoscience applications, including carbon capture and storage (CCS). We introduce a comprehensive dataset…

Chemical Physics · Physics 2026-03-03 Alhasan Abdellatif , Hannah P. Menke , Julien Maes , Ahmed H. Elsheikh , Florian Doster

Relative abundance, measured as the number of animals caught per unit of sampling effort (CPUE), is commonly used to monitor fish and wildlife populations, largely because sampling methods are cost-effective to implement. Modeling relative…

Applications · Statistics 2026-05-12 Kevin M. Collins , Erin M. Schliep , Tyler Wagner , Christopher K. Wikle

This study addresses the issue of whether or not a normal distribution appropriately represents permeability variations. To do so, (i) the distribution of local fibre volume fraction for each tow is experimentaly determined by estimation of…

Soft Condensed Matter · Physics 2016-01-13 Masoud Bodaghi , Salimeh Yasaei , Nuno Correia

A challenging topic in materials engineering is the development of numerical models that can accurately predict material properties with atomistic accuracy, matching the scale and level of detail achieved by experiments. In this regard,…

Soft Condensed Matter · Physics 2024-10-31 Francesco Maria Bellussi , Matteo Ricci , Matteo Fasano , Otello Maria Roscioni

Understanding porous media properties and their scale dependence have been an active subject of research in the past several decades in hydrology, geosciences and petroleum engineering. The scale dependence of flow in porous media is…

Geophysics · Physics 2021-01-22 Misagh Esmaeilpour , Behzad Ghanbarian , Feng Liang , Hui-Hai Liu

We use transition path sampling to study evaporation in the SPC/E model of liquid water. Based on thousands of evaporation trajectories, we characterize the members of the transition state ensemble (TSE), which exhibit a liquid-vapor…

Soft Condensed Matter · Physics 2014-09-05 Patrick Varilly , David Chandler

In this manuscript, we present a general computational method for characterizing the molecular structure of liquid water interfaces as sampled from atomistic simulations. With this method, the interfacial structure is quantified based on…

Soft Condensed Matter · Physics 2017-08-25 Sucheol Shin , Adam P. Willard

Critical wetting is an elusive phenomenon for solid-fluid interfaces. Using interfacial models we show that the diverging length scales, which characterize complete wetting at an apex, precisely mimic critical wetting with the apex angle…

Statistical Mechanics · Physics 2009-11-07 A. O. Parry , M. J. Greenall , J. M. Romero-Enrique
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