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Related papers: A Symplectic Multi-Particle Tracking Model for Sel…

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We describe a version of an algorithm for evolving self-gravitating collections of particles that should be nearly ideal for parallel architectures. Our method is derived from the ``self-consistent field'' (SCF) approach suggested…

Astrophysics · Physics 2016-08-30 Lars Hernquist , Steinn Sigurdsson , Greg L. Bryan

We present a detailed comparison of several integration schemes applied to the dynamic system consisting of a charged particle on the Kerr background endowed with the axisymmetric electromagnetic test field. In particular, we compare the…

General Relativity and Quantum Cosmology · Physics 2018-03-02 Ondřej Kopáček , Vladimír Karas , Jiří Kovář , Zdeněk Stuchlík

The McMillan system is a novel method to increase the tune spread of a beam without decreasing its dynamic aperture due to the systems integrability. While the ideal system is based on an infinitely thin kick, the physical design requires a…

Accelerator Physics · Physics 2022-09-02 B. Cathey , G. Stancari , T. Zolkin

Simulating beam loading in radiofrequency accelerating structures is critical for understanding higher-order mode effects on beam dynamics, such as beam break-up instability in energy recovery linacs. Full wave simulations of beam loading…

Accelerator Physics · Physics 2017-05-31 Dan T. Abell , Nathan M. Cook , Stephen D. Webb

This work is the second part of a simulation study investigating the processing of densely packed and moving granular assemblies by positron emission particle tracking (PEPT). Since medical PET scanners commonly used for PEPT are very…

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor…

Statistical Mechanics · Physics 2009-11-07 C. Burstedde , K. Klauck , A. Schadschneider , J. Zittartz

Astrophysical observations suggest that magnetic reconnection in relativistic plasmas plays an important role in the acceleration of energetic particles. Modeling this accurately requires numerical schemes capable of addressing large scales…

Plasma Physics · Physics 2025-09-16 K. M. Schoeffler , F. Bacchini , K. Kormann , B. Eichmann , M. E. Innocenti

Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical integration of Hamiltonian systems due to its long-term…

Plasma Physics · Physics 2016-07-27 Ruili Zhang , Hong Qin , Yifa Tang , Jian Liu , Yang He , Jianyuan Xiao

Particle-based simulations of the Vlasov equation typically require a large number of particles, which leads to a high-dimensional system of ordinary differential equations. Solving such systems is computationally very expensive, especially…

Computational Physics · Physics 2023-07-19 Tomasz M. Tyranowski , Michael Kraus

Tracking multiple particles in noisy and cluttered scenes remains challenging due to a combinatorial explosion of trajectory hypotheses, which scales super-exponentially with the number of particles and frames. The transformer architecture…

Machine Learning · Statistics 2025-06-12 Piyush Mishra , Philippe Roudot

Hamilton's equations are fundamental for modeling complex physical systems, where preserving key properties such as energy and momentum is crucial for reliable long-term simulations. Geometric integrators are widely used for this purpose,…

Machine Learning · Computer Science 2026-03-17 Priscilla Canizares , Davide Murari , Carola-Bibiane Schönlieb , Ferdia Sherry , Zakhar Shumaylov

The study of diffusion in Hamiltonian systems has been a problem of interest for a number of years. In this paper we explore the influence of self-consistency on the diffusion properties of systems described by coupled symplectic maps.…

The charging of insulating samples degrades the quality and complicates the interpretation of images in scanning electron microscopy and is important in other applications, such as particle detectors. In this paper we analyze this…

Classical Physics · Physics 2020-06-19 Behrouz Raftari , Neil Budko , Kees Vuik

We use particle-in-magnetohydrodynamics-cells to model particle acceleration and magnetic field amplification in a high Mach, parallel shock in three dimensions and compare the result to 2-D models. This allows us to determine whether 2-D…

High Energy Astrophysical Phenomena · Physics 2019-09-25 Allard Jan van Marle , Fabien Casse , Alexandre Marcowith

In this article we show in details the derivation of an integration scheme for the dissipative particle dynamic model (DPD) using the stochastic Trotter formula [De Fabritiis et al., Physica A, 361, 429 (2006)]. We explain some subtleties…

Soft Condensed Matter · Physics 2016-08-16 M. Serrano , G. De Fabritiis , P. Español , P. V. Coveney

This paper presents a novel trajectory tracker for autonomous quadrotor navigation in dynamic and complex environments. The proposed framework integrates a distributional Reinforcement Learning (RL) estimator for unknown aerodynamic effects…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Yanran Wang , James O'Keeffe , Qiuchen Qian , David Boyle

Integrals of the Liouville $1$-form, known as the first Poincar\'e integral invariant, provide a computable figure of merit for monitoring the conservation of symplecticity in the numerical integration of Hamiltonian systems. These…

Plasma Physics · Physics 2025-12-17 William Barham , J. W. Burby

In Real-Time, Feedback-Driven Single Particle Tracking methods, measurements of the emission intensity from a labeled, nanometer-scale particle are used in a feedback loop to track the motion of the particle as it moves inside its native…

Optics · Physics 2025-12-03 Md Faysal Hossain , Sean B. Andersson

A numerical model based on hydrodynamic approach has been developed to emulate the device dynamics of active target Time Projection Chamber which is utilized for studying nuclear reaction through three dimensional tracking of concerned low…

Instrumentation and Detectors · Physics 2025-06-03 Pralay Kumar Das , Jaydeep Datta , Nayana Majumdar , Supratik Mukhopadhyay

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider