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We study the asymptotic behavior of branching diffusion processes in periodic media. For a super-critical branching process, we distinguish two types of behavior for the normalized number of particles in a bounded domain, depending on the…

Probability · Mathematics 2020-03-05 Pratima Hebbar , Leonid Koralov , James Nolen

The flow of ions through permeable channels causes voltage drop in physiological nanodomains such as synapses, dendrites and dendritic spines, and other protrusions. How the voltage changes around channels in these nanodomains has remained…

Soft Condensed Matter · Physics 2025-01-10 Frédéric Paquin-Lefebvre , David Holcman

We construct a two-dimensional electric circuit model for creeping discharge. Two types of discharge, surface corona and surface leader, are modeled by a two-step function of conductance. Branched patterns of surface leaders surrounded by…

Pattern Formation and Solitons · Physics 2010-04-08 Hidetsugu Sakaguchi , Sahim M. Kourkouss

This paper presents a new resolution strategy for multi-scale streamer discharge simulations based on a second order time adaptive integration and space adaptive multiresolution. A classical fluid model is used to describe plasma…

Numerical Analysis · Mathematics 2012-04-10 Max Duarte , Zdenek Bonaventura , Marc Massot , Anne Bourdon , Stéphane Descombes , Thierry Dumont

A precise understanding of the radio emission from extensive air showers is of fundamental importance for the design of cosmic ray radio detectors as well as the analysis and interpretation of their data. In recent years, tremendous…

High Energy Astrophysical Phenomena · Physics 2015-06-12 T. Huege

We investigate the role of nuclear motion and strong-field-induced electronic couplings during the double ionization of deuterated water using momentum-resolved coincidence spectroscopy. By examining the three-body dicationic dissociation…

Linear chains of quantum scatterers are studied in the process of lengthening, which is treated and analysed as a discrete dynamical system defined over the manifold of scattering matrices. Elementary properties of such dynamics relate the…

Quantum Physics · Physics 2009-11-13 Martin Horvat , Tomaz Prosen

Nominal two-dimensional (2D) shear layers have been studied extensively, and their principal dynamics are well understood. In practical configurations, however, the behavior of such shear layers is affected by proximal surfaces. In this…

Fluid Dynamics · Physics 2026-01-26 Mitesh Thakor , Datta V Gaitonde , Yiyang Sun

Both experimental and theoretical analysis of an {ultra-short} phenomena occurring during the positive streamer propagation in atmospheric pressure air is presented. {With tens-of-picoseconds and tens-of-microns precision, it is shown that…

Plasma Physics · Physics 2015-06-19 Tomas Hoder , Zdenek Bonaventura , Anne Bourdon , Milan Simek

Strong-field enhanced ionization (EI) is a phenomenon in which stretching of interatomic bonds into a distorted molecular geometry leads to an increase in the tunneling ionization rate driven by a strong field. Isolating the momentum…

For energy efficiency and material cost reduction it is preferred to drive high-intensity discharge lamps at frequencies of approximately 300 kHz. However, operating lamps at these high frequencies bears the risk of stimulating acoustic…

Computational Physics · Physics 2016-12-16 Bernd Baumann , Joerg Schwieger , Marcus Wolff , Freddy Manders , Jos Suijker

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…

Plasma Physics · Physics 2022-02-08 J. Boeuf

Soft and frangible materials that remodel under flow can give rise to branched patterns shaped by material properties, boundary conditions, and the time scales of forcing. We present a general theoretical framework for emergent branching in…

Soft Condensed Matter · Physics 2025-10-01 P. L. B. Fischer , J. Tauber , T. Koch , L. Mahadevan

We show that the space charge dynamics of high intensity beams in the plane perpendicular to the magnetic field in cyclotrons is described by the two-dimensional Euler equations for an incompressible fluid. This analogy with fluid dynamics…

Accelerator Physics · Physics 2016-05-25 Antoine J. Cerfon

In many physical situations involving diverse length scales, waves or rays representing them travel through media characterized by spatially smooth, random, modest refactive index variations. "Primary" diffraction (by individual…

Classical Physics · Physics 2021-12-14 Eric J Heller , Ragnar Fleischmann , Tobias Kramer

A $d$-dimensional branching diffusion, $Z$, is investigated, where the linear attraction or repulsion between particles is competing with an Ornstein-Uhlenbeck drift, with parameter $b$ (we take $b>0$ for inward O-U and $b<0$ for outward…

Probability · Mathematics 2016-10-10 Janos Englander , Liang Zhang

A physical model of the formation of a vortex current in a plasma channel of lightning discharges due to the anomalous Hall effect caused by relativistic spin-orbit interaction phenomenon is proposed. The existence of fast electromagnetic…

Plasma Physics · Physics 2024-07-23 N. I. Petrov

Of particular interest for radio and hard X-ray diagnostics of accelerated electrons during solar flares is the understanding of the basic non-linear mechanisms regulating the relaxation of electron beams propagating in turbulent plasmas.…

Space Physics · Physics 2015-03-06 Nicolas H. Bian , Eduard P. Kontar , Heather Ratcliffe

Diffusion models have emerged from various theoretical and methodological perspectives, each offering unique insights into their underlying principles. In this work, we provide an overview of the most prominent approaches, drawing attention…

Machine Learning · Computer Science 2024-09-04 Solveig Klepper

Electron resonant scattering by high-frequency electromagnetic whistler-mode waves has been proposed as a mechanism for solar wind electron scattering and pre-acceleration to energies that enable them to participate in shock drift…