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Machine learning has emerged as a promising approach to study the properties of many-body systems. Recently proposed as a tool to classify phases of matter, the approach relies on classical simulation methods$-$such as Monte Carlo$-$which…

Quantum Physics · Physics 2020-07-17 Alexey Uvarov , Andrey Kardashin , Jacob Biamonte

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

As further progress in the accurate and efficient computation of coupled partial differential equations (PDEs) becomes increasingly difficult, it has become highly desired to develop new methods for such computation. In deviation from…

Numerical Analysis · Mathematics 2021-03-17 H. S. Tang , L. Li , M. Grossberg , Y. J. Liu , Y. M. Jia , S. S. Li , W. B. Dong

Multimodal deep learning (MDL) has emerged as a transformative approach in computational pathology. By integrating complementary information from multiple data sources, MDL models have demonstrated superior predictive performance across…

Quantitative Methods · Quantitative Biology 2025-11-17 Seth Alain Chang , Muhammad Mueez Amjad , Noorul Wahab , Ethar Alzaid , Nasir Rajpoot , Adam Shephard

We use complexity theory to rigorously investigate the difficulty of classically simulating evolution under many-body localized (MBL) Hamiltonians. Using the defining feature that MBL systems have a complete set of quasilocal integrals of…

Meshfree particle methods, such as Smoothed Particle Hydrodynamics (SPH) and the Moving Particle Semi-Implicit (MPS) method, are widely used to simulate complex free-surface and multiphase flows. A key challenge in these methods is the…

Computational Physics · Physics 2025-10-22 Nariman Mehranfar , Ahmad Shakibaeinia

We add the magnetic degrees of freedom to the widely used Gaussian Approximation Potential of machine learning (ML) and present a model that describes the potential energy surface of a crystal based on the atomic coordinates as well as…

Materials Science · Physics 2026-04-13 Yuqiang Gao , Menno Bokdam , Paul J. Kelly

$\Delta$-Machine Learning ($\Delta$-ML) has been shown to effectively and efficiently bring a low-level ML potential energy surface to CCSD(T) quality. Here we propose extending this approach to general force fields, which implicitly or…

Chemical Physics · Physics 2024-07-30 Chen Qu , Qi Yu , Riccardo Conte , Paul L. Houston , Apurba Nandi , Joel M. Bowman

Machine Learning (ML) models offer significant potential for advancing cell counting applications in neuroscience, medical research, pharmaceutical development, and environmental monitoring. However, implementing these models effectively…

With the growing complexity of computational and experimental facilities, many scientific researchers are turning to machine learning (ML) techniques to analyze large scale ensemble data. With complexities such as multi-component workflows,…

We propose a method to generate pure many-body interactions in colloidal systems by using optical forces induced by random optical fields with an optimized spectral energy density. To assess the feasibility in general settings, we develop a…

Soft Condensed Matter · Physics 2025-10-07 Augustin Muster , Luis S. Froufe-Pérez

In this paper we study the applicability of a set of supervised machine learning (ML) models specifically trained to infer observed related properties of the baryonic component (stars and gas) from a set of features of dark matter only…

Recent experiments in quantum simulators have provided evidence for the Many-Body Localized (MBL) phase in 1D and 2D bosonic quantum matter. The theoretical study of such bosonic MBL, however, is a daunting task due to the unbounded nature…

Disordered Systems and Neural Networks · Physics 2021-10-28 Sun Woo Kim , Giuseppe De Tomasi , Markus Heyl

Machine learning (ML) approaches enable large-scale atomistic simulations with near-quantum-mechanical accuracy. With the growing availability of these methods there arises a need for careful validation, particularly for physically agnostic…

Chemical Physics · Physics 2023-06-06 Joe D. Morrow , John L. A. Gardner , Volker L. Deringer

The motion of particles through density-stratified interfaces is a common phenomenon in environmental and engineering applications. However, the mechanics of particle-stratification interactions in various combinations of particle and fluid…

Fluid Dynamics · Physics 2024-01-04 Liron Simon Keren , Teddy Lazebnik , Alex Liberzon

Anisotropic magnetic colloids with permanent dipole moments exhibit rich field-responsive behavior arising from the interplay between particle geometry, dipolar interactions, and external driving. Modeling these systems remains challenging…

Soft Condensed Matter · Physics 2026-04-07 Jorge L. C. Domingos

We calculate the two, three, four, and five-body (state independent) effective potentials between the centers of mass (CM) of self avoiding walk polymers by Monte-Carlo simulations. For full overlap, these coarse-grained n-body interactions…

Soft Condensed Matter · Physics 2009-11-07 P. G. Bolhuis , A. A. Louis , J. P. Hansen

The Many-Body Expansion (MBE) is a useful tool to simulate condensed phase chemical systems, often avoiding the steep computational cost of usual electronic structure methods. However, it often requires higher than 2-body terms to achieve…

Chemical Physics · Physics 2019-11-21 Srimukh Prasad Veccham , Joonho Lee , Martin Head-Gordon

Diverse many-body systems, from soap bubbles to suspensions to polymers, learn and remember patterns in the drives that push them far from equilibrium. This learning may be leveraged for computation, memory, and engineering. Until now,…

Statistical Mechanics · Physics 2021-10-26 Weishun Zhong , Jacob M. Gold , Sarah Marzen , Jeremy L. England , Nicole Yunger Halpern

Machine learning (ML) methods can expand our ability to construct, and draw insight from large datasets. Despite the increasing volume of planetary observations, our field has seen few applications of ML in comparison to other sciences. To…

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