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Although diffusive shock acceleration (DSA) could be simulated by some well-established models, the assumption of the injection rate from the thermal particles to the superthermal population is still a contentious problem. But in the…

Earth and Planetary Astrophysics · Physics 2011-11-02 Xin Wang , Yihua Yan

Cosmic-ray acceleration at non-relativistic shocks relies on scattering by turbulence that the cosmic rays drive upstream of the shock. We explore the rate of energy transfer from cosmic rays to non-resonant Bell modes and the spectral…

High Energy Astrophysical Phenomena · Physics 2021-11-17 Martin Pohl

The theory of diffusive particle acceleration explains the spectral properties of the cosmic rays below energies of approx. 10^6 GeV as produced at strong shocks in supernova remnants (SNR's). To supply the observed flux of cosmic rays, a…

Astrophysics · Physics 2007-05-23 U. D. J. Gieseler , T. W. Jones , Hyesung Kang

Recently, cosmic ray (CR) feedback has been identified as a critical process in galaxy formation but most previous simulations have integrated out the energy-dependence of the CR distribution, despite its large extent over more than twelve…

Astrophysics of Galaxies · Physics 2023-03-15 Philipp Girichidis , Christoph Pfrommer , Rüdiger Pakmor , Volker Springel

A variety of simulation methodologies have been used for modeling reaction-diffusion dynamics -- including approaches based on Differential Equations (DE), the Stochastic Simulation Algorithm (SSA), Brownian Dynamics (BD), Green's Function…

Chemical Physics · Physics 2021-05-21 Marcus Thomas , Russell Schwartz

For the classical reaction diffusion equation, the priori speed of fronts is determined exactly in the pioneering paper (R.D. Benguria and M.C. Depassier, {\em Commun. Math. Phys.} 175:221--227, 1996) by variational characterization method.…

Analysis of PDEs · Mathematics 2020-06-24 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

Renewable resources are strongly dependent on local and large-scale weather situations. Skillful subseasonal to seasonal (S2S) forecasts -- beyond two weeks and up to two months -- can offer significant socioeconomic advantages to the…

Machine Learning · Computer Science 2025-04-01 Maximilian Springenberg , Noelia Otero , Yuxin Xue , Jackie Ma

Cosmological hydrodynamic simulations of large scale structure in the universe have shown that accretion shocks and merger shocks form due to flow motions associated with the gravitational collapse of nonlinear structures. Estimated speed…

Astrophysics · Physics 2015-06-24 Hyesung Kang , T. W. Jones

We establish a classification scheme for stochastic acceleration models involving low-frequency plasma turbulence in a strongly magnetized plasma. This classification takes into account both the properties of the accelerating…

Solar and Stellar Astrophysics · Physics 2015-06-05 Nicolas Bian , A. Gordon Emslie , Eduard P. Kontar

We report on a new Monte Carlo method for simulating diffusive shock acceleration (DSA) of solar energetic particles at upstream and downstream regions of quasi-parallel collisionless shock waves under the influence of self-generated…

Space Physics · Physics 2014-08-14 Arto Sandroos , Gang Li , Lulu Zhao

Time-dependent diffusion behavior is probed over sub-millisecond timescales in a single shot using an NMR static gradient, time-incremented echo train acquisition (SG-TIETA) framework. The method extends the Carr-Purcell-Meiboom-Gill (CPMG)…

Quantitative Methods · Quantitative Biology 2021-03-18 Teddy X. Cai , Nathan H. Williamson , Velencia J. Witherspoon , Rea Ravin , Peter J. Basser

Collisionless, turbulent plasmas surround the Earth, from the magnetosphere to the intergalactic medium, and the fluctuations within them affect nearly every field in the space sciences, from space weather forecasts to theories of galaxy…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Keyan Gootkin , Colby Haggerty , Damiano Caprioli , Zachary Davis

Shock acceleration is considered one of the most important mechanisms for the acceleration of astrophysical energetic particles. In this work, we calculate the trajectories of a large number of test charged particles accurately in a…

High Energy Astrophysical Phenomena · Physics 2019-04-17 F. -J. Kong , G. Qin , S. -S. Wu , L. -H. Zhang , H. -N. Wang , T. Chen , P. Sun

Diffusion Probabilistic Models (DPMs) have achieved considerable success in generation tasks. As sampling from DPMs is equivalent to solving diffusion SDE or ODE which is time-consuming, numerous fast sampling methods built upon improved…

Machine Learning · Computer Science 2025-06-26 Shuchen Xue , Mingyang Yi , Weijian Luo , Shifeng Zhang , Jiacheng Sun , Zhenguo Li , Zhi-Ming Ma

The problem of accelerating cosmic rays is one of fundamental importance, particularly given the uncertainty in the conditions inside the acceleration sites. Here we examine Diffusive Shock Acceleration in arbitrary turbulent magnetic…

High Energy Astrophysical Phenomena · Physics 2019-03-06 John Daniel Riordan , Asaf Pe'er

Cosmic rays (CRs) are transported out of the galaxy by diffusion and advection due to streaming along magnetic field lines and resonant scattering off self-excited Magneto-Hydro-Dynamic (MHD) waves. Thus momentum is transferred to the…

Astrophysics of Galaxies · Physics 2019-10-02 E. A. Dorfi , D. Steiner , F. Ragossnig , D. Breitschwerdt

Score-based diffusion models, while achieving remarkable empirical performance, often suffer from low sampling speed, due to extensive function evaluations needed during the sampling phase. Despite a flurry of recent activities towards…

Machine Learning · Computer Science 2024-03-07 Gen Li , Yu Huang , Timofey Efimov , Yuting Wei , Yuejie Chi , Yuxin Chen

In the present paper we discuss the modifications introduced into the first-order Fermi shock acceleration process due to a finite extent of diffusive regions near the shock or due to boundary conditions leading to an increased particle…

Astrophysics · Physics 2009-10-28 M. Ostrowski , R. Schlickeiser

We consider the numerical approximation of the radiative transfer equation using discontinuous angular and continuous spatial approximations for the even parts of the solution. The even-parity equations are solved using a diffusion…

Numerical Analysis · Mathematics 2019-09-19 Olena Palii , Matthias Schlottbom

We consider a phenomenological model for the thermal leakage injection in the diffusive shock acceleration (DSA) process, in which suprathermal protons and electrons near the shock transition zone are assumed to have the so-called…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Hyesung Kang , Vahe Petrosian , Dongsu Ryu , T. W. Jones