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Multiscale stochastic dynamical systems have been widely adopted to a variety of scientific and engineering problems due to their capability of depicting complex phenomena in many real world applications. This work is devoted to…

Machine Learning · Statistics 2024-01-02 Lingyu Feng , Ting Gao , Min Dai , Jinqiao Duan

We analyze a system of nonlinear stochastic partial differential equations (SPDEs) of mixed elliptic-parabolic type that models the propagation of electric signals and their effect on the deformation of cardiac tissue. The system governs…

Analysis of PDEs · Mathematics 2024-05-29 Mostafa Bendahmane , Kenneth H. Karlsen , Fatima Mroue

We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a microfluidic network. Experiments on transport of colloidal…

Soft Condensed Matter · Physics 2023-03-28 Gess Kelly , Navid Bizmark , Bulbul Chakraborty , Sujit S. Datta , Thomas G. Fai

In this paper, a data-driven nonparametric approach is presented for forecasting the probability density evolution of stochastic dynamical systems. The method is based on stochastic Koopman operator and extended dynamic mode decomposition…

Numerical Analysis · Mathematics 2022-10-12 Meng Zhao , Lijian Jiang

In particle-based computer simulations of polydisperse glassforming systems, the particle diameters $\sigma = \sigma_1, \dots, \sigma_N$ of a system with $N$ particles are chosen with the intention to approximate a desired distribution…

Soft Condensed Matter · Physics 2022-12-14 Niklas Küchler , Jürgen Horbach

Stochastic differential equations (SDEs) are established tools to model physical phenomena whose dynamics are affected by random noise. By estimating parameters of an SDE intrinsic randomness of a system around its drift can be identified…

Computation · Statistics 2012-05-03 Umberto Picchini , Susanne Ditlevsen

Direct electron beam writing is a powerful tool for fabricating complex nanostructures in a single step. The electron beam locally cleaves the molecules of an adsorbed gaseous precursor to form a deposit, similar to 3D printing but without…

Materials Science · Physics 2024-05-14 Katja Höflich , Krzysztof Mackosz , Chinmai S. Jureddy , Aleksei Tsarapkin , Ivo Utke

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic particle method which allows to select the level of resolution at which a fluid is simulated. The numerical integration of its equations of motion still suffers from the lack of…

Statistical Mechanics · Physics 2017-10-25 Gérôme Faure , Gabriel Stoltz

A novel Stochastic Event-Driven Molecular Dynamics (SEDMD) algorithm is developed for the simulation of polymer chains suspended in a solvent. The polymers are represented as chains of hard spheres tethered by square wells and interact with…

Materials Science · Physics 2007-08-03 Aleksandar Donev , Alejandro L. Garcia , Berni J. Alder

We propose a hybrid deterministic and stochastic approach to achieve extended time scales in atomistic simulations that combines the strengths of molecular dynamics (MD) and Monte Carlo (MC) simulations in an easy-to-implement way. The…

Materials Science · Physics 2011-10-18 Pratyush Tiwary , Axel van de Walle

FeFETs hold strong potential for advancing memory and logic technologies, but their inherent randomness arising from both operational cycling and fabrication variability poses significant challenges for accurate and reliable modeling.…

Machine Learning · Computer Science 2025-08-06 Tasnia Nobi Afee , Jack Hutchins , Md Mazharul Islam , Thomas Kampfe , Ahmedullah Aziz

Field emission coupled with molecular dynamics simulation (FEcMD) software package is a computational tool for studying the electron emission characteristics and the atomic structure evolution of micro- and nano-protrusions made of pure…

Computational Physics · Physics 2023-10-10 Nan Li , Xinyu Gao , Xianghui Feng , Kai Wu , Yonghong Cheng , Bing Xiao

We present a procedure for enhanced sampling of molecular dynamics simulations through informed stochastic resetting. Many phenomena, such as protein folding and crystal nucleation, occur over time scales that are inaccessible in standard…

Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models, which are accurate, but computationally expensive. This presents a challenge for implementing device characteristics in high-level…

Computational Physics · Physics 2020-08-31 Joshua Hanson , Pavel Bochev , Biliana Paskaleva

This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membrane-mediated receptor dynamics on cell surfaces, we…

Quantitative Methods · Quantitative Biology 2025-01-22 Nathalie Wehlitz , Mohsen Sadeghi , Alberto Montefusco , Christof Schütte , Grigorios A. Pavliotis , Stefanie Winkelmann

The sedimentation process of granular materials exists ubiquitously in nature and many fields which involve the solid-liquid separation. This paper employs the coupled computational fluid dynamics and discrete element method (CFD-DEM) to…

Fluid Dynamics · Physics 2017-11-07 Shan-Lin Xu , Rui Sun , Yuan-Qiang Cai , Hong-Lei Sun

In this work, we consider the numerical computation of ground states and dynamics of single-component Bose-Einstein condensates (BECs). The corresponding models are spatially discretized with a multiscale finite element approach known as…

Numerical Analysis · Mathematics 2024-05-24 Christian Döding , Patrick Henning , Johan Wärnegård

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

The System-by-Design (SbD) is an emerging engineering framework for the optimization-driven design of complex electromagnetic (EM) devices and systems. More specifically, the computational complexity of the design problem at hand is…

Signal Processing · Electrical Eng. & Systems 2022-02-16 Andrea Massa , Marco Salucci

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