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The application of deep learning toward discovery of data-driven models requires careful application of inductive biases to obtain a description of physics which is both accurate and robust. We present here a framework for discovering…

Computational Physics · Physics 2020-12-02 Ravi G. Patel , Nathaniel A. Trask , Mitchell A. Wood , Eric C. Cyr

We present a novel, fast differentiable simulator for soft-body learning and control applications. Existing differentiable soft-body simulators can be classified into two categories based on their time integration methods: Simulators using…

Machine Learning · Computer Science 2021-10-12 Tao Du , Kui Wu , Pingchuan Ma , Sebastien Wah , Andrew Spielberg , Daniela Rus , Wojciech Matusik

In this work, we propose to apply the recently developed Koopman operator techniques to explore the global phase space of a nonlinear system from time-series data. In particular, we address the problem of identifying various invariant…

Dynamical Systems · Mathematics 2019-10-09 Sai Pushpak Nandanoori , Subhrajit Sinha , Enoch Yeung

Accurate modelling of the interaction between fast electrons and partially ionized atoms is important for evaluating tokamak disruption mitigation schemes based on material injection. This requires accounting for the effect of screening of…

Plasma Physics · Physics 2018-11-28 L Hesslow , O Embréus , M Hoppe , T C DuBois , G Papp , M Rahm , T Fülöp

This work explores the application of deep operator learning principles to a problem in statistical physics. Specifically, we consider the linear kinetic equation, consisting of a differential advection operator and an integral collision…

Numerical Analysis · Mathematics 2024-02-27 Jae Yong Lee , Steffen Schotthöfer , Tianbai Xiao , Sebastian Krumscheid , Martin Frank

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

We summarize a series of numerical experiments of collisional dynamics in dense stellar systems such as globular clusters (GCs) and in weakly collisional plasmas using a novel simulation technique, the so-called Multi-particle collision…

In recent years, soft robotics simulators have evolved to offer various functionalities, including the simulation of different material types (e.g., elastic, hyper-elastic) and actuation methods (e.g., pneumatic, cable-driven, servomotor).…

Robotics · Computer Science 2025-02-03 Etienne Ménager , Louis Montaut , Quentin Le Lidec , Justin Carpentier

Accurate and efficient plasma models are essential to understand and control experimental devices. Existing magnetohydrodynamic or kinetic models are nonlinear, computationally intensive, and can be difficult to interpret, while often only…

Plasma Physics · Physics 2020-03-04 Alan A. Kaptanoglu , Kyle D. Morgan , Chris J. Hansen , Steven L. Brunton

Statistical (machine learning) tools for equation discovery require large amounts of data that are typically computer generated rather than experimentally observed. Multiscale modeling and stochastic simulations are two areas where learning…

Machine Learning · Statistics 2021-03-17 Joseph Bakarji , Daniel M. Tartakovsky

A customized finite-difference field solver for the particle-in-cell (PIC) algorithm that provides higher fidelity for wave-particle interactions in intense electromagnetic waves is presented. In many problems of interest, particles with…

Computational Physics · Physics 2022-04-26 Fei Li , Kyle G. Miller , Xinlu Xu , Frank S. Tsung , Viktor K. Decyk , Weiming An , Ricardo A. Fonseca , Warren B. Mori

Particle-In-Cell (PIC) methods are frequently used for kinetic, high-fidelity simulations of plasmas. Implicit formulations of PIC algorithms feature strong conservation properties, up to numerical round-off errors, and are not subject to…

Plasma Physics · Physics 2021-10-26 R. Kube , R. M. Churchill , B. Sturdevant

The dynamics of burning plasmas in tokamaks are crucial for advancing controlled thermonuclear fusion. This study applies the NeuralPlasmaODE, a multi-region multi-timescale transport model, to simulate the complex energy transfer processes…

Plasma Physics · Physics 2024-12-13 Zefang Liu , Weston M. Stacey

Laboratory plasmas in open magnetic geometries can be found in many different applications such as (1) Scrape-Of-Layer (SOL) and divertor regions in toroidal confinement fusion devices (\approx1-10^2\hspace{1mm}\mathrm{eV}), (2) linear…

Plasma Physics · Physics 2022-02-09 Atul Kumar , J. F. Caneses Marin

We present a numerical framework for the simulation of collisional plasma dynamics, based on a coupling between Direct Simulation Monte Carlo (DSMC) and Particle-in-Cell (PIC) methods for the Vlasov-Maxwell-Landau system. The approach…

Computational Physics · Physics 2025-10-28 Andrea Medaglia , Lorenzo Pareschi , Mattia Zanella

We propose a computationally efficient method to solve the dynamics of operators of bosonic quantum systems coupled to their environments. The method maps the operator under interest to a set of complex-valued functions, and its adjoint…

Differentiable rendering has gained significant attention in the field of robotics, with differentiable robot rendering emerging as an effective paradigm for learning robotic actions from image-space supervision. However, the lack of…

Robotics · Computer Science 2025-03-27 Quanyuan Ruan , Jiabao Lei , Wenhao Yuan , Yanglin Zhang , Dekun Lu , Guiliang Liu , Kui Jia

Developing a quantitative understanding of wave plasma processes in the lower ionosphere requires a reasonably accurate theoretical description of the underlying physical processes. For such highly collisional plasma environment as the…

Plasma Physics · Physics 2024-07-22 Y. S. Dimant

Examining energization of kinetic plasmas in phase space is a growing topic of interest, owing to the wealth of data in phase space compared to traditional bulk energization diagnostics. Via the field-particle correlation (FPC) technique…

A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such model is based on the expansion of the distribution function on a Hermite-Laguerre…

Plasma Physics · Physics 2019-04-18 R. Jorge , P. Ricci , N. F. Loureiro