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In this paper, we introduce tensor involved peridynamics, a unified framework for simulating both isotropic and anisotropic materials. While traditional peridynamics models effectively simulate isotropic materials, they face challenges with…

Materials Science · Physics 2024-12-23 Hao Tian , Jinlong Shao , Chenguang Liu , Shuo Liu , Xu Guo

The highly anisotropic thermal conductivity in layered materials is crucial for a broad range of applications such as thermal management of electronic devices, thermal insulation, and thermoelectrics. Understanding of anisotropic thermal…

Materials Science · Physics 2022-08-23 Jialin Tang , Qi Wang , Jiongzhi Zheng , Lin Cheng , Ruiqiang Guo

Anisotropy in crystals plays a pivotal role in many technological applications. For example, anisotropic electronic and thermal transport are thought to be beneficial for thermoelectric applications, while anisotropic mechanical properties…

Materials Science · Physics 2024-05-14 Yuchen Lou , Alex M. Ganose

Physics-based, atom-centered machine learning (ML) representations have been instrumental to the effective integration of ML within the atomistic simulation community. Many of these representations build off the idea of atoms as having…

Computational Physics · Physics 2024-03-29 Arthur Y. Lin , Kevin K. Huguenin-Dumittan , Yong-Cheol Cho , Jigyasa Nigam , Rose K. Cersonsky

We present an algorithm to simulate the many-body depletion interaction between anisotropic colloids in an implicit way, integrating out the degrees of freedom of the depletants, which we treat as an ideal gas. Because the depletant…

Soft Condensed Matter · Physics 2015-08-31 Jens Glaser , Andrew S. Karas , Sharon C. Glotzer

Accurate modelling of magnetism is pivotal for elucidating the microscopic origins of magnetic phenomena in functional materials. However, for a specified class of materials, such as random dilute ferromagnets or alloys, the reliance on…

Materials Science · Physics 2026-05-21 K. Das , N. Gonzalez Szwacki , K. Gas , M. Sawicki , R. Hayn , D. Sztenkiel

Textures in images can often be well modeled using self-similar processes while they may at the same time display anisotropy. The present contribution thus aims at studying jointly selfsimilarity and anisotropy by focusing on a specific…

Data Analysis, Statistics and Probability · Physics 2015-06-16 S. G. Roux , M. Clausel , B. Vedel , S. Jaffard , P. Abry

Mechanistic induced polarization (IP) models describe the relationships between the intrinsic properties of geomaterials and their frequency-dependent complex conductivity spectra. However, the uncertainties associated with estimating…

Geophysics · Physics 2024-02-14 Charles L. Bérubé , Frédérique Baron

Physical modeling is critical for many modern science and engineering applications. From a data science or machine learning perspective, where more domain-agnostic, data-driven models are pervasive, physical knowledge -- often expressed as…

Machine Learning · Computer Science 2022-07-22 Da Long , Zheng Wang , Aditi Krishnapriyan , Robert Kirby , Shandian Zhe , Michael Mahoney

We consider the problem in Electrical Impedance Tomography (EIT) of identifying one or multiple inclusions in a background-conducting body $\Omega\subset\mathbb{R}^2$, from the knowledge of a finite number of electrostatic measurements…

Numerical Analysis · Mathematics 2025-02-07 Romina Gaburro , Patrick Healy , Shraddha Naidu , Clifford Nolan

Material characterization in nano-mechanical tests requires precise interatomic potentials for the computation of atomic energies and forces with near-quantum accuracy. For such purposes, we develop a robust neural-network interatomic…

$\bullet$ Multiscale model of inner-core anisotropy produced by hcp alloy deformation$\bullet$ 5 to 20% single-crystal elastic anisotropy and plastic deformation by pyramidal slip $\bullet$ Low-degree inner-core formation model with faster…

Geophysics · Physics 2016-03-23 A Lincot , Ph Cardin , R Deguen , Sébastien Merkel

We investigate the problem of planar conductivity inclusion with imperfect interface conditions. We assume that the inclusion is simply connected. The presence of the inclusion causes a perturbation in the incident background field. This…

Analysis of PDEs · Mathematics 2023-06-02 Doosung Choi , Mikyoung Lim

We propose a complement to constitutive modeling that augments neural networks with material principles to capture anisotropy and inelasticity at finite strains. The key element is a dual potential that governs dissipation, consistently…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Hagen Holthusen , Ellen Kuhl

A common architectural choice for deep metric learning is a convolutional neural network followed by global average pooling (GAP). Albeit simple, GAP is a highly effective way to aggregate information. One possible explanation for the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Yeti Z. Gurbuz , Ozan Sener , A. Aydın Alatan

The deployment of electromagnetic (EM) induction tools while drilling is one of the standard routines for assisting the geosteering decision-making process. The conductivity distribution obtained through the inversion of the EM induction…

Detection of induced polarisation (IP) effects in airborne electromagnetic (AEM) measurements does not yet have an established methodology. This contribution develops a Bayesian approach to the IP-detectability problem using decoupled…

Applications · Statistics 2021-09-03 Laurence Davies , Alan Yusen Ley-Cooper , Matthew Sutton , Christopher Drovandi

Spectral induced polarization (SIP) is a non-intrusive geophysical method that is widely used to detect sulfide minerals, clay minerals, metallic objects, municipal wastes, hydrocarbons, and salinity intrusion. However, SIP is a static…

Computational Physics · Physics 2020-07-16 B. Ahmmed , M. K. Mudunuru , S. Karra , S. C. James , H. S. Viswanathan , J. A. Dunbar

Implementing computational boundary conditions, such as perfectly matched layers PML does have advantages for forwarding modeling of the earth's crust. The mathematical modeling of many physical problems encountered in industrial…

Geophysics · Physics 2019-11-12 P. Contreras , G. Larrazabal , C. Florio

We develop a machine-learning method for coarse-graining condensed-phase molecular systems using anisotropic particles. The method extends currently available high-dimensional neural network potentials by addressing molecular anisotropy. We…

Statistical Mechanics · Physics 2023-07-12 Marltan O. Wilson , David M. Huang
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