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Learning dynamical systems through operator-theoretic representations provides a powerful framework for analyzing complex dynamics, as spectral quantities such as eigenvalues and invariant structures encode characteristic time scales and…

Machine Learning · Statistics 2026-05-19 Thibaut Germain , Sami Chemlal , Rémi Flamary , Vladimir R. Kostic , Karim Lounici

We introduce a neural-network-assisted Boltzmann framework that learns the binary-collision map of microswimmers directly from data and uses it to evaluate collision integrals efficiently. Using a representative model swimmer, the learned…

Soft Condensed Matter · Physics 2025-10-29 Haruki Hayano , Akira Furukawa , Kang Kim

We describe a method to compute photon-matter interaction and atomic dynamics with X-ray lasers using a hybrid code based on classical molecular dynamics and collisional-radiative calculations. The forces between the atoms are dynamically…

Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand

Newtonian dynamics is derived from prior information codified into an appropriate statistical model. The basic assumption is that there is an irreducible uncertainty in the location of particles so that the state of a particle is defined by…

Classical Physics · Physics 2009-05-27 Ariel Caticha , Carlo Cafaro

We extend the Ginzburg-Landau (GL) theory of atomically rough bcc-liquid interfaces [Wu {\it et al.}, Phys. Rev. B \textbf{73}, 094101 (2006)] outside of equilibrium. We use this extension to derive an analytical expression for the kinetic…

Materials Science · Physics 2015-03-19 Kuo-An Wu , Ching-Hao Wang , Jeffrey J. Hoyt , Alain Karma

The plasma-material interactions present in multiple fusion and propulsion concepts between the flow of plasma through a channel and a material wall drive the emission of secondary electrons. This emission is capable of altering the…

Plasma Physics · Physics 2024-03-15 Kolter Bradshaw , Bhuvana Srinivasan

A new type of kinetic models with non-instantaneous binary collisions is considered. Collisions are described by a transport process in the joint state space of a pair of particles. The interactions are of alignment type, where the states…

Analysis of PDEs · Mathematics 2023-05-22 Laura Kanzler , Christian Schmeiser , Veronica Tora

We propose a novel approach in the study of transport phenomena in dense systems or systems with long range interactions where multiple particle interactions must be taken into consideration. Within Boltzmann's kinetic formalism, we study…

Classical Physics · Physics 2015-06-26 Travis J. Sherman , Johann Rafelski

The design of control engineering applications usually requires a model that accurately represents the dynamics of the real system. In addition to classical physical modeling, powerful data-driven approaches are increasingly used. However,…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Annika Junker , Julia Timmermann , Ansgar Trächtler

Future AI-based studies in particle physics will likely start from a foundation model to accelerate training and enhance sensitivity. As a step towards a general-purpose foundation model for particle physics, we investigate whether the…

High Energy Physics - Experiment · Physics 2026-04-15 Gregor Krzmanc , Vinicius Mikuni , Benjamin Nachman , Callum Wilkinson

The information scrambling in many-body systems is closely related to quantum chaotic dynamics, complexity, and gravity. Here we propose a collision model to simulate the information dynamics in an all-optical system. In our model the…

Quantum Physics · Physics 2020-04-23 Yan Li , Xingli Li , Jiasen Jin

Simulation data can be utilized to extend real-world driving data in order to cover edge cases, such as vehicle accidents. The importance of handling edge cases can be observed in the high societal costs in handling car accidents, as well…

Robotics · Computer Science 2020-07-24 Shivam Akhauri , Laura Zheng , Ming Lin

Model-free data-driven computational mechanics replaces phenomenological constitutive functions by numerical simulations based on data sets of representative samples in stress-strain space. The distance of strain and stress pairs from the…

Computational Engineering, Finance, and Science · Computer Science 2021-11-29 Kerem Ciftci , Klaus Hackl

We present a novel learning framework that consistently embeds underlying physics while bypassing a significant drawback of most modern, data-driven coarse-grained approaches in the context of molecular dynamics (MD), i.e., the availability…

Machine Learning · Computer Science 2020-02-25 Markus Schöberl , Nicholas Zabaras , Phaedon-Stelios Koutsourelakis

Learning predictive models from interaction with the world allows an agent, such as a robot, to learn about how the world works, and then use this learned model to plan coordinated sequences of actions to bring about desired outcomes.…

Machine Learning · Computer Science 2020-01-01 Karl Schmeckpeper , Annie Xie , Oleh Rybkin , Stephen Tian , Kostas Daniilidis , Sergey Levine , Chelsea Finn

Centuries of development in natural sciences and mathematical modeling provide valuable domain expert knowledge that has yet to be explored for the development of machine learning models. When modeling complex physical systems, both domain…

Machine Learning · Computer Science 2020-09-01 Daniel L. Marino , Milos Manic

Progress in understanding multi-scale collisionless plasma phenomena requires employing tools which balance computational efficiency and physics fidelity. Collisionless fluid models are able to resolve spatio-temporal scales that are…

Plasma Physics · Physics 2025-04-30 Emil R. Ingelsten , Madox C. McGrae-Menge , E. Paulo Alves , Istvan Pusztai

In this paper we introduce and discuss kinetic equations for the evolution of the probability distribution of the number of particles in a population subject to binary interactions. The microscopic binary law of interaction is assumed to be…

Probability · Mathematics 2015-01-13 Federico Bassetti , Giuseppe Toscani

The fluid-dynamical modeling of a nuclear collision at high energy usually starts shortly after the collision. A major source of uncertainty comes from the detailed modeling of the initial state. While the collision itself likely involves…

Nuclear Theory · Physics 2025-04-16 Andreas Kirchner , Federica Capellino , Eduardo Grossi , Stefan Floerchinger
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