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We present a numerical model and a set of conservative algorithms for Non-Maxwellian plasma kinetics with inelastic collisions. These algorithms self-consistently solve for the time evolution of an isotropic electron energy distribution…

Plasma Physics · Physics 2017-12-12 H. P. Le , J. -L. Cambier

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

Statistical Mechanics · Physics 2026-03-23 Aditya Gupta

Learning governing dynamics from data is a common goal across the sciences, yet it is only well-posed when the underlying mechanisms are identifiable. In practice, many data-driven methods implicitly assume identifiability; when this…

Machine Learning · Computer Science 2026-05-13 Aybüke Ulusarslan , Niki Kilbertus , Nora Schneider

Weakly collisional and collisionless plasmas are typically far from local thermodynamic equilibrium (LTE), and understanding energy conversion in such systems is a forefront research problem. The standard approach is to investigate changes…

Plasma Physics · Physics 2023-06-05 Paul A. Cassak , M. Hasan Barbhuiya , Haoming Liang , Matthew R. Argall

Nonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in…

Statistical Mechanics · Physics 2024-04-04 Naruo Ohga , Sosuke Ito

This paper introduces a novel physics-informed impact identification (Phy-ID) framework. The proposed method integrates observational, inductive, and learning biases to combine physical knowledge with data-driven inference in a unified…

Machine Learning · Computer Science 2026-03-31 Natália Ribeiro Marinho , Richard Loendersloot , Jan Willem Wiegman , Frank Grooteman , Tiedo Tinga

For warm and hot dense plasma (WHDP), the ionization potential depression (IPD) is a key physical parameter in determining its ionization balance, therefore a reliable and universal IPD model is highly required to understand its microscopic…

Plasma Physics · Physics 2023-05-17 Chensheng Wu , Fuyang Zhou , Yong Wu , Jun Yan , Xiang Gao , Jianguo Wang

We introduce a novel grid-independent model for learning partial differential equations (PDEs) from noisy and partial observations on irregular spatiotemporal grids. We propose a space-time continuous latent neural PDE model with an…

Machine Learning · Computer Science 2023-10-27 Valerii Iakovlev , Markus Heinonen , Harri Lähdesmäki

We develop data-driven models to predict the dynamics of a freely settling sphere in a quiescent Newtonian fluid using experimentally obtained trajectories. Particle tracking velocimetry was used to obtain a comprehensive dataset of…

The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraints and balances in nature has facilitated rapid development…

Dynamical Systems · Mathematics 2016-04-27 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

We propose a physics-informed consistency modeling framework for solving partial differential equations (PDEs) via fast, few-step generative inference. We identify a key stability challenge in physics-constrained consistency training, where…

Machine Learning · Computer Science 2026-02-11 Che-Chia Chang , Chen-Yang Dai , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

Physics-informed neural networks (PINNs) offer a unified framework for solving both forward and inverse problems of differential equations, yet their performance and physical consistency strongly depend on how governing laws are…

Machine Learning · Computer Science 2026-03-31 Guojie Li , Liu Hong

Contemporary materials science research is heavily conducted in silico, involving massive simulations of the atomic-scale evolution of materials. Cataloging basic patterns in the atomic displacements is key to understanding and predicting…

Human-Computer Interaction · Computer Science 2026-01-16 Rostyslav Hnatyshyn , Danny Perez , Gerik Scheuermann , Ross Maciejewski , Baldwin Nsonga

We consider model order reduction of parameterized Hamiltonian systems describing nondissipative phenomena, like wave-type and transport dominated problems. The development of reduced basis methods for such models is challenged by two main…

Numerical Analysis · Mathematics 2021-05-27 Cecilia Pagliantini

Physics-informed neural networks allow models to be trained by physical laws described by general nonlinear partial differential equations. However, traditional architectures struggle to solve more challenging time-dependent problems due to…

Computational Physics · Physics 2022-02-28 Benjamin Wu , Oliver Hennigh , Jan Kautz , Sanjay Choudhry , Wonmin Byeon

We investigate the nonequilibrium dynamics of a laser-pumped two-dimensional spinless Holstein model within a semiclassical framework, focusing on the melting and recovery of long-range charge-density-wave order. Accurately describing this…

Strongly Correlated Electrons · Physics 2026-02-04 Sankha Subhra Bakshi , Yunhao Fan , Gia-Wei Chern

Coarse-grained modeling in molecular simulations serves not only to extend accessible time and length scales beyond atomistic limits, but also to reduce high-dimensional chemical data to low-dimensional representations that expose the…

Chemical Physics · Physics 2026-05-19 Michael N. Sakano , Alejandro Strachan

Traditional partial differential equation (PDE) solvers can be computationally expensive, which motivates the development of faster methods, such as reduced-order-models (ROMs). We present GPLaSDI, a hybrid deep-learning and Bayesian ROM.…

Computational Engineering, Finance, and Science · Computer Science 2023-12-05 Christophe Bonneville , Youngsoo Choi , Debojyoti Ghosh , Jonathan L. Belof

In spatially extended systems, it is common to find latent variables that are hard, or even impossible, to measure with acceptable precision, but are crucially important for the proper description of the dynamics. This substantially…

Numerical Analysis · Computer Science 2019-08-28 Patrick A. K. Reinbold , Roman O. Grigoriev

We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by a coarse grained, classical linear functional diffusion…

Statistical Mechanics · Physics 2019-02-13 Tom Banks , Andrew Lucas