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A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

Quantum many-body methods provide a systematic route to computing electronic properties of molecules and materials, but high computational costs restrict their use in large-scale applications. Due to the complexity in many-electron…

An accurate prediction of the translational and rotational motion of particles suspended in a fluid is only possible if a complete set of correlations for the force coefficients of fluid-particle interaction is known. The present study is…

Fluid Dynamics · Physics 2020-09-24 Martyna Minakowska , Thomas Richter , Sebastian Sager

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

This work presents a physics-informed neural network approach bridging deep-learning force field and electronic structure simulations, illustrated through twisted two-dimensional large-scale material systems. The deep potential molecular…

Materials Science · Physics 2024-04-02 Yubo Qi , Weiyi Gong , Qimin Yan

We set up a mesoscopic theory for interacting Brownian particles embedded in a nonequilibrium environment, starting from the microscopic interacting many-body theory. Using nonequilibrium linear response theory, we characterize the…

Statistical Mechanics · Physics 2017-01-04 Stefano Steffenoni , Klaus Kroy , Gianmaria Falasco

Using Brownian dynamics simulations, we investigate the dynamics of colloids confined in two-dimensional narrow channels driven by a non-uniform force F(y). We considered linear-gradient, parabolic and delta-like driving-force profiles.…

Soft Condensed Matter · Physics 2009-11-05 D. V. Tkachenko , V. R. Misko , F. M. Peeters

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

Soft Condensed Matter · Physics 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

We investigate the applicability of machine learning techniques in studying the finite-size effects associated with many-body physics. These techniques have an emerging presence in many-body theory as they have been used for interpolations,…

Nuclear Theory · Physics 2021-11-08 Nawar Ismail , Alexandros Gezerlis

A central challenge in the computational modeling of neural dynamics is the trade-off between accuracy and simplicity. At the level of individual neurons, nonlinear dynamics are both experimentally established and essential for neuronal…

We present an efficient method to perform overdamped Brownian dynamics simulations in external force fields and for particle interactions that include a hardcore part. The method applies to particle motion in one dimension, where it is…

Statistical Mechanics · Physics 2026-02-23 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

We train a neural network as the universal exchange-correlation functional of density-functional theory that simultaneously reproduces both the exact exchange-correlation energy and potential. This functional is extremely non-local, but…

Computational Physics · Physics 2019-10-10 Jonathan Schmidt , Carlos L. Benavides-Riveros , Miguel A. L. Marques

To fully understand, analyze, and determine the behavior of dynamical systems, it is crucial to identify their intrinsic modal coordinates. In nonlinear dynamical systems, this task is challenging as the modal transformation based on the…

Machine Learning · Computer Science 2025-03-13 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable…

Soft Condensed Matter · Physics 2022-02-10 Jens Bickmann , Stephan Bröker , Raphael Wittkowski

Superadiabatic dynamical density functional theory (superadiabatic-DDFT), a first-principles approach based on the inhomogeneous two-body correlation functions, is employed to investigate the response of interacting Brownian particles to…

Soft Condensed Matter · Physics 2023-06-23 S. M. Tschopp , H. D. Vuijk , J. M. Brader

Deep neural networks have demonstrated remarkable efficacy in extracting meaningful representations from complex datasets. This has propelled representation learning as a compelling area of research across diverse fields. One interesting…

Quantum Physics · Physics 2024-05-28 Philipp Schmidt , Florian Marquardt , Naeimeh Mohseni

Feed-forward neural networks (FNNs) work as standard building blocks in applying artificial intelligence (AI) to the physical world. They allow learning the dynamics of unknown physical systems (e.g., biological and chemical) {to predict…

Machine Learning · Computer Science 2022-06-23 Yu Wang , Qitong Gao , Miroslav Pajic

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

We propose a description of nonequilibrium systems via a simple protocol that combines exchange-correlation potentials from density functional theory with self-energies of many-body perturbation theory. The approach, aimed to avoid double…

Strongly Correlated Electrons · Physics 2016-06-15 M. Hopjan , D. Karlsson , S. Ydman , C. Verdozzi , C. -O. Almbladh

The connection between fundamental interactions acting in molecules in a fluid and macroscopically measured properties, such as the viscosity between colloidal particles coated with polymers, is studied here. The role that hydrodynamic and…

Soft Condensed Matter · Physics 2015-09-02 A. Gama Goicochea , M. A. Balderas Altamirano , R. Lopez-Esparza , M. A. Waldo , E. Perez