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We present a novel framework for Finite Element Particle-in-Cell methods based on the discretization of the underlying Hamiltonian structure of the Vlasov-Maxwell system. We derive a semi-discrete Poisson bracket, which retains the defining…

Numerical Analysis · Mathematics 2017-10-05 Michael Kraus , Katharina Kormann , Philip J. Morrison , Eric Sonnendrücker

For simulating laser-plasma interactions, we developed a parallel, multi-dimensional, fully relativistically particle-in-cell (PIC) code, named YUNIC. The core algorithm is introduced, including field solver, particle pusher, field…

Plasma Physics · Physics 2021-04-02 Huai-Hang Song , Wei-Min Wang , Yu-Tong Li

Accurate modelling of electrostatic interactions and charge transfer is fundamental to computational chemistry, yet most machine learning interatomic potentials (MLIPs) rely on local atomic descriptors that cannot capture long-range…

Methods to extract information from the tracking of mobile objects/particles have broad interest in biological and physical sciences. Techniques based on simple criteria of proximity in time-consecutive snapshots are useful to identify the…

Data Analysis, Statistics and Probability · Physics 2015-03-13 M. Chertkov , L. Kroc , F. Krzakala , M. Vergassola , L. Zdeborová

The paper deals with partial and weak preference relations defined on infinite-dimensional vector spaces and compatible with algebraic operations. By a partial preference we mean an asymmetric and transitive binary relation, while a weak…

Optimization and Control · Mathematics 2024-01-17 V. V. Gorokhovik

Particle methods are a ubiquitous tool for solving the Vlasov-Poisson equation in comoving coordinates, which is used to model the gravitational evolution of dark matter in an expanding universe. However, these methods are known to produce…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-12 Andrew Myers , Phillip Colella , Brian Van Straalen

Global particle-in-cell (PIC) simulations of pulsar magnetospheres are performed with a volume, surface and pair production-based plasma injection schemes to systematically investigate the transition between electrosphere and force-free…

High Energy Astrophysical Phenomena · Physics 2024-10-16 Fábio Cruz , Thomas Grismayer , Alexander Y. Chen , Anatoly Spitkovsky , Ricardo A. Fonseca , Luis O. Silva

Conventional explicit electromagnetic particle-in-cell (PIC) algorithms do not conserve discrete energy exactly. Time-centered fully implicit PIC algorithms can conserve discrete energy exactly, but may introduce large dispersion errors in…

Computational Physics · Physics 2020-02-19 Guangye Chen , Luis Chacón , Lin Yin , Brian J. Albright , David J. Stark , Robert F. Bird

Two counter-propagating cool and equally dense electron beams are modelled with particle-in-cell (PIC) simulations. The electron beam filamentation instability is examined in one spatial dimension, which is an approximation for a…

Plasma Physics · Physics 2015-05-13 M. E. Dieckmann , I. Kourakis , M. Borghesi , G. Rowlands

Projection-based Controllers (PBCs) are currently gaining traction in both scientific and engineering communities. In PBCs, the input-output signals of the controller are kept in sector-bounded sets by means of projection. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2024-09-02 Hoang Chu , S. J. A. M van den Eijnden , W. P. M. H. Heemels

Dissipative particle dynamics (DPD) belongs to a class of models and computational algorithms developed to address mesoscale problems in complex fluids and soft matter in general. It is based on the notion of particles that represent…

Statistical Mechanics · Physics 2017-05-24 Pep Español , Patrick B Warren

Field-theoretical method is efficient in predicting the assembling structures of polymeric systems. However, for the polymer/nanoparticle mixture, the continuous density description is not suitable to capture the realistic assembly of…

Soft Condensed Matter · Physics 2017-05-17 Hui-shu Li , Bo-kai Zhang , Jian Li , Wen-de Tian , Kang Chen

The Particle-in-Cell (PIC) method was used to study two different ion thruster concepts - Stationary Plasma Thrusters (SPT) and High Efficiency Multistage Plasma Thrusters (HEMP-T), in particular the plasma properties in the discharge…

Plasma Physics · Physics 2015-05-14 K. Matyash , R. Schneider , A. Mutzke , O. Kalentev , F. Taccogna , N. Koch , M. Schirra

A particle scheme for scalar conservation laws in one space dimension is presented. Particles representing the solution are moved according to their characteristic velocities. Particle interaction is resolved locally, satisfying exact…

Numerical Analysis · Mathematics 2010-10-18 Yossi Farjoun , Benjamin Seibold

Quantitative predictions from synthetic radiation diagnostics often have to consider all accelerated particles. For particle-in-cell (PIC) codes, this not only means including all macro-particles but also taking into account the discrete…

Computational Physics · Physics 2018-02-13 Richard Pausch , Alexander Debus , Axel Huebl , Ulrich Schramm , Klaus Steiniger , René Widera , Michael Bussmann

We present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of the damping of small oscillations in plasmas without collisions. In the PIC…

Plasma Physics · Physics 2023-03-23 Daniel S. Finn , Matthew G. Knepley , Joseph V. Pusztay , Mark F. Adams

Probabilistic circuits (PCs) are a unifying representation for probabilistic models that support tractable inference. Numerous applications of PCs like controllable text generation depend on the ability to efficiently multiply two circuits.…

Artificial Intelligence · Computer Science 2025-05-01 Honghua Zhang , Benjie Wang , Marcelo Arenas , Guy Van den Broeck

Partially-observable problems pose a trade-off between reducing costs and gathering information. They can be solved optimally by planning in belief space, but that is often prohibitively expensive. Model-predictive control (MPC) takes the…

Machine Learning · Computer Science 2023-04-21 Baris Kayalibay , Atanas Mirchev , Ahmed Agha , Patrick van der Smagt , Justin Bayer

Particle production through ultra-strong electric fields is a well-studied research field. Nevertheless, despite repeated attempts to relate the production rate within the field to the formation time of a particle, the latter is still…

High Energy Physics - Phenomenology · Physics 2023-08-09 Matthias Diez , Reinhard Alkofer , Christian Kohlfürst

The binary relation framework has been shown to be applicable to many real-life preference handling scenarios. Here we study preference contraction: the problem of discarding selected preferences. We argue that the property of minimality…

Artificial Intelligence · Computer Science 2009-03-12 Denis Mindolin , Jan Chomicki
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