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Structured optimization problems are ubiquitous in fields like data science and engineering. The goal in structured optimization is using a prescribed set of points, called atoms, to build up a solution that minimizes or maximizes a given…

Optimization and Control · Mathematics 2021-01-14 Andrea Cristofari , Francesco Rinaldi

In this review, we discuss recent applications of the ab initio symmetry-adapted no-core shell-model (SA-NCSM) theory for study and prediction of structure and reactions of stable and unstable nuclei from light to medium mass range. We…

Sample average approximation (SAA) is a technique for obtaining approximate solutions to stochastic programs that uses the average from a random sample to approximate the expected value that is being optimized. Since the outcome from…

Optimization and Control · Mathematics 2026-01-22 Harshit Kothari , James R. Luedtke

High-entropy alloys (HEAs) composed of multiple principal elements have been shown to offer improved radiation resistance over their elemental or dilute-solution counterparts. Using NiCoFeCrMn HEA as a model, here we introduce carbon and…

Materials Science · Physics 2023-01-03 Zhengxiong Su , Jun Ding , Miao Song , Li Jiang , Tan Shi , Zhiming Li , Sheng Wang , Fei Gao , Di Yun , Chenyang Lu , En Ma

Topology optimization (TO) can be viewed as seeking an optimal solution in the design space of a given TO problem. For weakly non-linear TO problems, e.g., compliance minimization, sensitivity-based methods typically converge well, whereas…

Optimization and Control · Mathematics 2026-03-25 Ziliang Wang , Jiahua Wu , Jun Yang , Shintaro Yamasaki

This paper proposes a finite element scheme, based on the Scalar Auxiliary Variable (SAV) approach, for the Cahn-Hilliard equation--a model that possesses significant physical relevance and a rich mathematical structure. A convergence…

Numerical Analysis · Mathematics 2026-02-26 Na Li , Yongchao Zhao

Quantum computing has emerged as a promising platform for simulating strongly correlated systems in chemistry, for which the standard quantum chemistry methods are either qualitatively inaccurate or too expensive. However, due to the…

Chemical Physics · Physics 2024-05-06 Max Rossmannek , Fabijan Pavošević , Angel Rubio , Ivano Tavernelli

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

The cluster expansion model (CEM) provides a powerful computational framework for rapid estimation of configurational properties in disordered systems. However, the traditional CEM construction procedure is still plagued by two fundamental…

Disordered Systems and Neural Networks · Physics 2023-07-24 Bibek Dash , Suhail Haque , Abhijit Chatterjee

An efficient simulation framework is proposed to model collective emission in disordered ensembles of quantum emitters. Using a cumulant expansion approach, the computational complexity scales polynomially as opposed to exponentially with…

Optics · Physics 2025-12-17 Qingyi Zhou , Wenxin Wu , Maryam Zahedian , Zongfu Yu , Jennifer T. Choy

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

Soft Condensed Matter · Physics 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

Sparse-view computed tomography (CT) is known as a widely used approach to reduce radiation dose while accelerating imaging through lowered projection views and correlated calculations. However, its severe imaging noise and streaking…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Yitong Liu , Ken Deng , Chang Sun , Hongwen Yang

The applications of machine learning techniques to chemistry and materials science become more numerous by the day. The main challenge is to devise representations of atomic systems that are at the same time complete and concise, so as to…

Chemical Physics · Physics 2025-10-06 Michael J. Willatt , Felix Musil , Michele Ceriotti

Traditional metallic alloys are mixtures of elements where the atoms of minority species tend to distribute randomly if they are below their solubility limit, or lead to the formation of secondary phases if they are above it. Recently, the…

We show that generalized spherical harmonics are well suited for representing the space and orientation molecular density in the resolution of the molecular density functional theory. We consider the common system made of a rigid solute of…

Chemical Physics · Physics 2017-10-11 Lu Ding , Maximilien Levesque , Daniel Borgis , Luc Belloni

Approximate scattering functions for polydisperse ionic colloidal fluids are obtained by a corresponding states approach. This assumes that all pair correlation functions $g_{\alpha \beta}(r)$ of a polydisperse fluid are conformal to those…

Statistical Mechanics · Physics 2009-10-31 Domenico Gazzillo , Achille Giacometti , F. Carsughi

Quantitative prediction of thermodynamic properties in solution is essential for translating atomistic simulations into reliable chemical insight. As an exemplar system, the behaviour of CaCO$_3$ in water has been widely studied to…

Oscillatory zoning, i.e. self-formation of spatial quasi-periodic oscillations in the composition of solid growing from aqueous solution, is analyzed theoretically. Keeping in mind systems like (Ba,Sr)SO4 we propose a 1D model that takes…

Pattern Formation and Solitons · Physics 2009-11-13 Ihor Lubashevsky , Tanja Mues , Andreas Heuer

We present an adaptive reduced-order model for the efficient time-resolved simulation of fluid-structure interaction problems with complex and non-linear deformations. The model is based on repeated linearizations of the structural balance…

Fluid Dynamics · Physics 2020-04-13 Ali Thari , Vito Pasquariello , Niels Aage , Stefan Hickel

The electronic structure problem is one of the main problems in modern theoretical chemistry. While there are many already-established methods both for the problem itself and its applications like semi-classical or quantum dynamics, it…

Quantum Physics · Physics 2024-10-25 Martin Beseda , Silvie Illésová , Saad Yalouz , Bruno Senjean
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