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Imposing known physical constraints, such as conservation laws, during neural network training introduces an inductive bias that can improve accuracy, reliability, convergence, and data efficiency for modeling physical dynamics. While such…

机器学习 · 计算机科学 2024-02-22 Nithin Chalapathi , Yiheng Du , Aditi Krishnapriyan

The dynamics of the electrons for a molecule in solution is coupled to the dynamics of its polarizable environment, i.e., the solvent. To theoretically investigate such electronic dynamics, we have recently developed equations of motion…

化学物理 · 物理学 2017-02-16 Silvio Pipolo , Stefano Corni , Roberto Cammi

Quantum error mitigation (QEM) provides a practical route for estimating reliable observables on noisy intermediate-scale quantum (NISQ) devices. Traditional QEM strategies, including zero-noise extrapolation (ZNE) and Clifford data…

量子物理 · 物理学 2026-04-21 Huaxin Wang , Xinge Wu , Jiajun Liu , Ruiqing He , Jiandong Shang , Hengliang Guo , Qiang Chen

A major challenge for quantum computation in ion trap systems is scalable integration of error correction and fault tolerance. We analyze a distributed architecture with rapid high fidelity local control within nodes and entangled links…

量子物理 · 物理学 2009-11-13 Daniel K. L. Oi , Simon J. Devitt , Lloyd C. L. Hollenberg

This work considers charged systems described by the modified Poisson--Nernst--Planck (PNP) equations, which incorporate ionic steric effects and the Born solvation energy for dielectric inhomogeneity. Solving the steady-state modified PNP…

数值分析 · 数学 2025-06-04 Zhonghua Qiao , Zhenli Xu , Qian Yin , Shenggao Zhou

The execution of large deep neural networks (DNN) at mobile edge devices requires considerable consumption of critical resources, such as energy, while imposing demands on hardware capabilities. In approaches based on edge computing the…

机器学习 · 计算机科学 2023-06-23 Juliano S. Assine , J. C. S. Santos Filho , Eduardo Valle , Marco Levorato

Validity of fluid models breaks down for non-thermal or weakly collisional plasmas which often occur e.g. in the solar wind. In these regimes one has to resort to modelling through the first-principle Vlasov-Maxwell system, but its…

等离子体物理 · 物理学 2025-12-01 Rostislav-Paul Wilhelm , Fabio Bacchini

A one-dimensional Particle-In-Cell Monte Carlo Collisions (PIC-MCC) method has been used to model the development and propagation of ionization waves in neon and argon positive columns. Low current conditions are considered, i.e. conditions…

等离子体物理 · 物理学 2022-02-08 J. Boeuf

Many reaction-diffusion models produce travelling wave solutions that can be interpreted as waves of invasion in biological scenarios such as wound healing or tumour growth. These partial differential equation models have since been adapted…

细胞行为 · 定量生物学 2023-07-03 Rebecca M. Crossley , Philip K. Maini , Tommaso Lorenzi , Ruth E. Baker

The behaviour of a system of ion channels formed across the cell membrane is presented. The infinite number of channels with an infinite coupling is introduced first as a reference point for the detailed derivation of the…

生物物理 · 物理学 2007-05-23 Adam Rycerz

Computer-based simulations of non-invasive cardiac electrical outputs, such as electrocardiograms and body surface potential maps, usually entail severe computational costs due to the need of capturing fine-scale processes and to the…

数值分析 · 数学 2023-08-09 Elena Zappon , Andrea Manzoni , Alfio Quarteroni

The electron component of an ultracold neutral plasma (UCP) is modeled based on a scalable method using a self-consistently determined mean-field approximation. Representative sampling of discrete electrons within the UCP are used to…

等离子体物理 · 物理学 2016-02-17 John Guthrie , Jacob Roberts

Ionic liquid ion sources are a promising technology that can be used for many applications from space propulsion to focused ion beam microetching. Ionic liquid ion sources produce ion beams by extracting single ions and metastable solvated…

化学物理 · 物理学 2021-11-17 Madeleine Schroeder

We explore a new fashion, named energy-resolved population image (EPI), to represent on an equal footing the temporary electronic transition and nuclear motion during laser-molecular interaction. By using the EPI we have intuitively…

原子与分子团簇 · 物理学 2015-06-19 Kunlong Liu , Pengfei Lan , Cheng Huang , Qingbin Zhang , Peixiang Lu

We present a scalable implementation of the $GW$ approximation using Gaussian atomic orbitals to study the valence and core ionization spectroscopies of molecules. The implementation of the standard spectral decomposition approach to the…

化学物理 · 物理学 2021-12-06 Daniel Mejia-Rodriguez , Alexander Kunitsa , Edoardo Aprà , Niranjan Govind

Porous electrode theory (PET) provides essential insights into electrochemical states, but its computational complexity hinders real-time control and obscures scaling relations. To bridge the gap between high-fidelity simulations and…

系统与控制 · 电气工程与系统科学 2026-04-21 Shakul Pathak , Martin Z. Bazant

In this paper, we present a novel numerical scheme for simulating deformable and extensible capsules suspended in a Stokesian fluid. The main feature of our scheme is a partition-of-unity (POU) based representation of the surface that…

数值分析 · 数学 2024-04-09 Dhwanit Agarwal , George Biros

In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models for pattern evolution within biological processes. Upon a Sequential Quadratic Programming linearization…

数值分析 · 数学 2024-08-28 Karolína Benková , John W. Pearson , Mariya Ptashnyk

In this article we develop an algorithm for the efficient simulation of electrolytes in the presence of physical boundaries. In previous work the Discrete Ion Stochastic Continuum Overdamped Solvent (DISCOS) algorithm was derived for triply…

We develop a novel approach to the coupled motion of electrons and ions that focuses on the dynamics of the electronic subsystem. Usually the description of electron dynamics involves an electronic Schr\"odinger equation where the nuclear…

化学物理 · 物理学 2013-11-18 Yasumitsu Suzuki , Ali Abedi , Neepa T. Maitra , Koichi Yamashita , E. K. U. Gross