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Driving an inertial many-body system out of equilibrium generates complex dynamics due to memory effects and the intricate relationships between the external driving force, internal forces, and transport effects. Understanding the…

Soft Condensed Matter · Physics 2021-03-31 Johannes Renner , Matthias Schmidt , Daniel de las Heras

Human blood flow is a multi-scale problem: in first approximation, blood is a dense suspension of plasma and deformable red cells. Physiological vessel diameters range from about one to thousands of cell radii. Current computational models…

Soft Condensed Matter · Physics 2015-03-17 Florian Janoschek , Federico Toschi , Jens Harting

A fast and accurate computational scheme for simulating nonlinear dynamic systems is presented. The scheme assumes that the system can be represented by a combination of components of only two different types: first-order low-pass filters…

Quantitative Methods · Quantitative Biology 2008-06-20 J. H. van Hateren

As an alternative to solving of Poisson equation in Particle-in-Cell methods, a new construction of current density exactly satisfying continuity equation in finite differences is developed. This procedure called density decomposition is…

Computational Physics · Physics 2007-05-23 Timur Zh. Esirkepov

We review a family of local algorithms that permit the simulation of charged particles with purely local dynamics. Molecular dynamics formulations lead to discretizations similar to those of ``particle in cell'' methods in plasma physics.…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs , J. Rottler

The filtration of fluid in 2D porous medium is simulated by the molecular dynamics technique. The high concentration of fluid is created at the initial point in time and the number of fluid particles is investigated in all porous. The…

Fluid Dynamics · Physics 2007-05-23 Marat N. Ovchinnikov

Normalizing flows (NFs) provide a powerful tool to construct an expressive distribution by a sequence of trackable transformations of a base distribution and form a probabilistic model of underlying data. Rotation, as an important quantity…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Yulin Liu , Haoran Liu , Yingda Yin , Yang Wang , Baoquan Chen , He Wang

Simulation schemes that allow to change molecular representation in a subvolume of the simulation box while preserving the equilibrium with the surrounding introduce conceptual problems of thermodynamic consistency. In this work we present…

Statistical Mechanics · Physics 2010-03-31 Simon Poblete , Matej Praprotnik , Kurt Kremer , Luigi Delle Site

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

Current mathematical frameworks for predicting the flux state and macromolecular composition of the cell do not rely on thermodynamic constraints to determine the spontaneous direction of reactions. These predictions may be biologically…

Optimization and Control · Mathematics 2020-08-14 Amir Akbari , Bernhard O. Palsson

Computational fluid dynamics lies at the heart of many issues in science and engineering, but solving the associated partial differential equations remains computationally demanding. With the rise of quantum computing, new approaches have…

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic…

Fluid Dynamics · Physics 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

In this work, algorithms for the parallel computation of three-body interactions in molecular dynamics are developed. While traversals for the computation of pair interactions are readily available in the literature, here, such traversals…

Computational Engineering, Finance, and Science · Computer Science 2025-10-27 Jose Alfonso Pinzon Escobar , Markus Mühlhäußer , Hans-Joachim Bungartz , Philipp Neumann

We present a quantum algorithm that analyzes time series data simulated by a quantum differential equation solver. The proposed algorithm is a quantum version of the dynamic mode decomposition algorithm used in diverse fields such as fluid…

Quantum Physics · Physics 2024-10-17 Yuta Mizuno , Tamiki Komatsuzaki

We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow dynamics, and high-dimensional, large fast modes. Given only…

Machine Learning · Statistics 2023-10-25 Felix X. -F. Ye , Sichen Yang , Mauro Maggioni

A molecular dynamics (MD) simulation of planar Couette flow is presented for the minimal channel in which turbulence structures can be sustained. Evolution over a single breakdown and regeneration cycle is compared to computational fluid…

Fluid Dynamics · Physics 2015-12-04 E. R. Smith

A simple reweighting scheme is proposed for Monte Carlo simulations of interacting particle systems, permitting one to study various parameter values in a single study, and improving efficiency by an order of magnitude. Unlike earlier…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

Living systems are capable of locomotion, reconfiguration, and replication. To perform these tasks, cells spatiotemporally coordinate the interactions of force-generating, "active" molecules that create and manipulate non-equilibrium…

Soft Condensed Matter · Physics 2019-08-28 Tyler D. Ross , Heun Jin Lee , Zijie Qu , Rachel A. Banks , Rob Phillips , Matt Thomson

Understanding active matter has led to new perspectives on biophysics and non-equilibrium dynamics. However, the development of numerical tools for simulating active fluids capable of incorporating non-trivial boundaries or inclusions has…

Soft Condensed Matter · Physics 2024-02-01 Timofey Kozhukhov , Benjamin Loewe , Tyler N. Shendruk

This article describes algorithms for the hybrid parallelization and SIMD vectorization of molecular dynamics simulations with short-range forces. The parallelization method combines domain decomposition with a thread-based parallelization…

Materials Science · Physics 2017-09-13 Chris M. Mangiardi , Ralf Meyer