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We propose a novel data-driven method called QENDy (Quadratic Embedding of Nonlinear Dynamics) that not only allows us to learn quadratic representations of highly nonlinear dynamical systems, but also to identify the governing equations.…

Dynamical Systems · Mathematics 2025-09-25 Stefan Klus , Joel-Pascal Ntwali N'konzi

There exist severe limitations on the accuracy of low-temperature thermometry, which poses a major challenge for future quantum-technological applications. Low-temperature sensitivity might be manipulated by tailoring the interactions…

Quantum Physics · Physics 2022-05-04 Jonas Glatthard , Luis A. Correa

Sparse identification of nonlinear dynamics (SINDy) has been widely used to discover the governing equations of a dynamical system from data. It uses sparse regression techniques to identify parsimonious models of unknown systems from a…

Methodology · Statistics 2026-04-07 Kairui Ding

Simulations of nano- to micro-meter scale fluidic systems under thermal gradients require consistent mesoscopic methods accounting for both hydrodynamic interactions and proper transport of energy. One such method is dissipative particle…

Soft Condensed Matter · Physics 2024-06-03 Fatemeh A. Soleymani , Marisol Ripoll , Gerhard Gompper , Dmitry A. Fedosov

Deep learning for detecting objects in remotely sensed imagery can enable new technologies for important applications including mitigating climate change. However, these models often require large datasets labeled with bounding box…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Ji Hun Wang , Jeremy Irvin , Beri Kohen Behar , Ha Tran , Raghav Samavedam , Quentin Hsu , Andrew Y. Ng

Visualizing the electron dynamics in four dimensions of space and time is crucial to the understanding of several ubiquitous processes in nature. Hence, ultrafast X-ray and electron imaging tools have been developed to probe the dynamics of…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Mingrui Yuan , Nikolay V. Golubev

We introduce Weak-PDE-LEARN, a Partial Differential Equation (PDE) discovery algorithm that can identify non-linear PDEs from noisy, limited measurements of their solutions. Weak-PDE-LEARN uses an adaptive loss function based on weak forms…

Machine Learning · Computer Science 2023-09-12 Robert Stephany , Christopher Earls

A central challenge in data-driven model discovery is the presence of hidden, or latent, variables that are not directly measured but are dynamically important. Takens' theorem provides conditions for when it is possible to augment these…

Machine Learning · Computer Science 2022-01-14 Joseph Bakarji , Kathleen Champion , J. Nathan Kutz , Steven L. Brunton

This paper presents approximation methods for time-dependent thermal radiative transfer problems in high energy density physics. It is based on the multilevel quasidiffusion method defined by the high-order radiative transfer equation (RTE)…

Numerical Analysis · Mathematics 2026-03-18 Dmitriy Y. Anistratov , Joseph M. Coale

We propose a randomized neural network approach called RaNNDy for learning transfer operators and their spectral decompositions from data. The weights of the hidden layers of the neural network are randomly selected and only the output…

Machine Learning · Computer Science 2025-09-25 Mohammad Tabish , Benedict Leimkuhler , Stefan Klus

For a given diagrammatic approximation in many-body perturbation theory it is not guaranteed that positive observables, such as the density or the spectral function, retain their positivity. For zero-temperature systems we developed a…

Mathematical Physics · Physics 2022-08-23 Markku J. Hyrkäs , Daniel Karlsson , Robert van Leeuwen

Thermodynamically consistent models for two-phase flow in porous media have attracted significant attention in recent years. In this paper, we prove the existence, uniqueness and regularity of the weak solution to such a recent model…

Analysis of PDEs · Mathematics 2026-02-05 Huangxin Chen , Jisheng Kou , Haitao Leng , Shuyu Sun , Hai Zhao

In this article, we utilize machine learning to dynamically determine if a point on the computational grid requires implicit numerical dissipation for large eddy simulation (LES). The decision making process is learnt through \emph{a…

Fluid Dynamics · Physics 2019-02-07 Romit Maulik , Omer San , Jamey D Jacob

Optical forces are known to arise in a universal fashion in many and diverse physical settings. As such, they are successfully employed over a wide range of applications in areas like biophotonics, optomechanics and integrated optics. While…

Optics · Physics 2022-11-15 Nikolaos K. Efremidis , Demetrios N. Christodoulides

We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In…

Condensed Matter · Physics 2009-10-28 Jian Wang , Qingrong Zheng , Hong Guo

Lattice thermal conductivity (LTC) is a critical parameter for thermal transport properties, playing a pivotal role in advancing thermoelectric materials and thermal management technologies. Traditional computational methods, such as…

Materials Science · Physics 2025-09-22 Yuxuan Zeng , Wei Cao , Yijing Zuo , Tan Peng , Yue Hou , Ling Miao , Ziyu Wang , Jing Shi

A theory for thermodynamic induction (TI) under isothermal conditions is presented. This includes a treatment of the Helmholtz free energy budget available for a gate variable to utilize towards aiding another variable's approach towards…

Mesoscale and Nanoscale Physics · Physics 2021-10-07 S. N. Patitsas

In low-dimensional systems, the combination of reduced dimensionality, strong interactions, and topology has led to a growing number of many-body quantum phenomena. Thermal transport, which is sensitive to all energy-carrying degrees of…

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

We present a tight-binding (TB) model and $\mathbf{k\cdot p}$ theory for electrons in monolayer and few-layer InSe. The model is constructed from a basis of all $s$ and $p$ valence orbitals on both indium and selenium atoms, with…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 S. J. Magorrian , V. Zólyomi , V. I. Fal'ko
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