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We propose a Multi-level Monte Carlo technique to accelerate Monte Carlo sampling for approximation of properties of materials with random defects. The computational efficiency is investigated on test problems given by tight-binding models…

Numerical Analysis · Mathematics 2016-11-30 Petr Plecháč , Erik von Schwerin

Scaling behavior is studied of several dominant eigenvalues of spectra of Markov matrices and the associated correlation times governing critical slowing down in models in the universality class of the two-dimensional Ising model. A scheme…

Condensed Matter · Physics 2009-10-30 M. P. Nightingale , H. W. J. Bloete

The acceleration of charged particles at astrophysical collisionless shock waves is one of the best studied processes for the energization of particles to ultrarelativistic energies, required by multifrequency observations in a variety of…

Astrophysics · Physics 2009-11-10 Pasquale Blasi

The spectral index $s$ of particles diffusively accelerated in a relativistic shock depends on the unknown angular diffusion function $\mathcal{D}$, which itself depends on the particle distribution function $f$ if acceleration is…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Yotam Nagar , Uri Keshet

Accurately and efficiently estimating system performance under uncertainty is paramount in power system planning and operation. Monte Carlo simulation is often used for this purpose, but convergence may be slow, especially when detailed…

Computation · Statistics 2020-10-23 Simon Tindemans , Goran Strbac

The $\Delta$-scaling method has been applied to ultra-relativistic p+p, C+C and Pb+Pb collision data simulated using a high energy Monte Carlo package, LUCIAE 3.0. The $\Delta$-scaling is found to be valid for some physical variables, such…

Supernova remnants are expected to contain braided (or stochastic) magnetic fields, which are in some regions directed mainly perpendicular to the shock normal. For particle acceleration due to repeated shock crossings, the transport in the…

Astrophysics · Physics 2007-05-23 U. D. J. Gieseler , J. G. Kirk

During the past years several variance reduction techniques for Monte Carlo electron transport have been developed in order to reduce the electron computation time transport for absorbed dose distribution. We have implemented the Macro…

Medical Physics · Physics 2009-11-13 L. A. Perles , A. de Almeida

An extreme case of electron shock drift acceleration in low Mach number collisionless shocks is investigated as a plausible mechanism of initial acceleration of relativistic electrons in large-scale shocks in galaxy clusters where upstream…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Shuichi Matsukiyo , Yutaka Ohira , Ryo Yamazaki , Takayuki Umeda

Strong non-relativistic shocks are known to accelerate particles up to relativistic energies. However, for Diffusive Shock Acceleration electrons must have a highly suprathermal energy, implying a need for very efficient pre-acceleration.…

Plasma Physics · Physics 2023-10-24 Karol Fulat , Artem Bohdan , Gabriel Torralba Paz , Martin Pohl

In this short note we investigate the ultra-relativistic collisions of small amplitude oscillons in 1+1 dimensions. Using the amplitude of the oscillons and the inverse relativistic boost factor $\gamma^{-1}$ as the perturbation variables,…

High Energy Physics - Theory · Physics 2015-06-23 Mustafa A. Amin , Indranil Banik , Carina Nagreanu , I-Sheng Yang

We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile displacements. Under suitable hypotheses on the spatial…

Probability · Mathematics 2012-06-08 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

Fluid dynamical simulations are often performed using cheap macroscopic models like the Euler equations. For rarefied gases under near-equilibrium conditions, however, macroscopic models are not sufficiently accurate and a simulation using…

Numerical Analysis · Mathematics 2023-05-31 Julian Koellermeier , Hannes Vandecasteele

We study a type of particle acceleration that operates via neutron-proton conversion in inelastic nuclear collisions. This mechanism can be expected for relativistic shocks at subphotospheres if relativistic outflows contain neutrons. Using…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Kazumi Kashiyama , Kohta Murase , Peter Mészáros

A new acceleration algorithm to address the problem of multiple time scales in variational Monte Carlo simulations is presented. After a first attempted move has been rejected, the delayed rejection algorithm attempts a second move with a…

Other Condensed Matter · Physics 2009-11-10 Dario Bressanini , Gabriele Morosi , Silvia Tarasco , Antonietta Mira

We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. In the case of the totally asymmetric process, an earlier phenomenological description is improved, yielding for the time…

Disordered Systems and Neural Networks · Physics 2015-06-05 R. Juhász , G. Ódor

We examine the dynamics of accelerating normal shocks in stratified planar atmospheres, providing accurate fitting formulae for the scaling index relating shock velocity to the initial density and for the post-shock acceleration factor as…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Stephen Ro , Christopher D. Matzner

We investigate the acceleration of light particles in perpendicular shocks for plasmas consisting of a mixture of leptonic and hadronic particles. Starting from the full set of conservation equations for the mixed plasma constituents, we…

High Energy Astrophysical Phenomena · Physics 2015-06-05 A. Stockem , F. Fiuza , R. A. Fonseca , L. O. Silva

We analyze electron flux maps based on RHESSI hard X-ray imaging spectroscopy data for a number of extended coronal loop flare events. For each event, we determine the variation of the characteristic loop length $L$ with electron energy…

Solar and Stellar Astrophysics · Physics 2015-06-15 Jingnan Guo , A. Gordon Emslie , Michele Piana

We review the acceleration of energetic particles in relativistic astrophysical jets characterized by a significant velocity shear. The possible formation of power-law momentum spectra is discussed and typical acceleration timescales are…

Astrophysics · Physics 2009-11-11 Frank M. Rieger , Peter Duffy
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