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Symmetries, e.g. rotational and translational invariances for the class of mechanical systems, allow to characterize solution trajectories of nonlinear dynamical systems. Thus, the restriction to symmetry-induced dynamics, e.g. by using the…

Optimization and Control · Mathematics 2019-06-24 Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

We propose a general model-free strategy for feedback control design of turbulent flows. This strategy called 'machine learning control' (MLC) is capable of exploiting nonlinear mechanisms in a systematic unsupervised manner. It relies on…

Time evolution of tunneling phenomena proceeding in thermal medium is studied using a standard model of environment interaction. A semiclassical probability formula for the particle motion in a metastable state of one dimensional system put…

High Energy Physics - Phenomenology · Physics 2009-11-10 Sh. Matsumoto , M. Yoshimura

For many decades, experimental solid mechanics has played a crucial role in characterizing and understanding the mechanical properties of natural and novel materials. Recent advances in machine learning (ML) provide new opportunities for…

Machine Learning · Computer Science 2023-09-07 Hanxun Jin , Enrui Zhang , Horacio D. Espinosa

The gas flow characteristics in lid-driven cavities are influenced by several factors, such as cavity geometry, gas properties, and boundary conditions. In this study, the physics of heat and gas flow in cylindrical lid-driven cavities with…

Fluid Dynamics · Physics 2023-06-27 Mengbo Zhu , Ehsan Roohi , Amin Ebrahimi

The development of machine-learning (ML) potentials offers significant accuracy improvements compared to molecular mechanics (MM) because of the inclusion of quantum-mechanical effects in molecular interactions. However, ML simulations are…

A unified thermodynamic framework for characterization of functional materials is developed. This framework encompasses linear reversible and irreversible processes with thermal, electrical, magnetic, and/or mechanical effects coupled. The…

Materials Science · Physics 2016-10-07 Sushma Santapuri

Autonomous driving technology can improve traffic safety and reduce traffic accidents. In addition, it improves traffic flow, reduces congestion, saves energy and increases travel efficiency. In the relatively mature automatic driving…

Robotics · Computer Science 2024-03-13 Wenjian Sun , Linying Pan , Jingyu Xu , Weixiang Wan , Yong Wang

We explore how the thermodynamic properties and dynamics of a self-interstitial prismatic dislocation loop are affected by microscopic-scale variations in its geometric configuration, an aspect that rarely received attention in literature.…

Materials Science · Physics 2026-05-12 Sho Hayakawa , Sergei L. Dudarev , Max Boleininger

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

Analysis of PDEs · Mathematics 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

The dynamics of two-dimensional fluids confined within a random matrix of obstacles is investigated using both colloidal model experiments and molecular dynamics simulations. By varying fluid and matrix area fractions in the experiment, we…

As model problem we consider the prototype for flow and transport of a concentration in porous media in an interior domain and couple it with a diffusion process in the corresponding unbounded exterior domain. To solve the problem we…

Numerical Analysis · Mathematics 2018-10-22 Christoph Erath , Günther Of , Francisco-Javier Sayas

A time-dependent modeling framework for autogenous self-healing concrete that couples moisture diffusion with damage evolution was developed. Water transport follows Fick's second law with a damage-dependent diffusivity obtained by…

Computational Engineering, Finance, and Science · Computer Science 2026-03-17 William Liu

The autonomous heat engine is a model system of autonomous nonequilibrium systems like biological cells, exploiting nonequilibrium flow for operations. As the Carnot engine has essentially contributed to the equilibrium thermodynamics,…

Statistical Mechanics · Physics 2020-08-05 Shoichi Toyabe , Yuki Izumida

The field of machine learning has rapidly advanced the state of the art in many fields of science and engineering, including experimental fluid dynamics, which is one of the original big-data disciplines. This perspective will highlight…

Fluid Dynamics · Physics 2023-03-30 Ricardo Vinuesa , Steven L. Brunton , Beverley J. McKeon

Non-equilibrium active matter made up of self-driven particles with short-range repulsive interactions is a useful minimal system to study active matter as the system exhibits collective motion and nonequilibrium order-disorder transitions.…

Soft Condensed Matter · Physics 2016-01-06 Hui-Shun Kuan , Robert Blackwell , Loren E. Hough , Matthew A. Glaser , M. D. Betterton

Terminal sliding mode (TSM) control algorithm and its non-singular refinement have been elaborated for two decades and belong, since then, to a broader class of the finite-time controllers, which are known to be robust against the matched…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Michael Ruderman

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

The thermal conductivity of organic liquids is a vital parameter influencing various industrial and environmental applications, including energy conversion, electronics cooling, and chemical processing. However, atomistic simulation of…

This note presents an embedded automatic control strategy for a low consumption vehicle equipped with an "on/off" engine. The main difficulties are the hybrid nature of the dynamics, the non smoothness of the dynamics of each mode, the…

Optimization and Control · Mathematics 2017-07-26 Thomas Chambrion , Gilles Millerioux