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A random neighbor extremal stick-slip model is introduced. In the thermodynamic limit, the distribution of states has a simple analytical form and the mean avalanche size, as a function of the coupling parameter, is exactly calculable. The…

Statistical Mechanics · Physics 2010-06-10 Osame Kinouchi , Carmen P. C. do Prado

The evolution of scalar fields transported by turbulent flow is characterized by the presence of fronts, which rule the small-scale statistics of scalar fluctuations. With the aid of numerical simulations, it is shown that: isotropy is not…

Chaotic Dynamics · Physics 2009-10-31 A. Celani , A. Lanotte , A. Mazzino , M. Vergassola

Elastic waves of short wavelength propagating through the upper layer of the Earth appear to move faster at large separations of source and receiver than at short separations. This scale dependent velocity is a manifestation of Fermat's…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Tworzydlo , C. W. J. Beenakker

Particles ejected from the Sun that stream through the surrounding plasma of the solar wind are causing instabilities. These generate wavemodes in a certain frequency range especially within shock regions, where particles are accelerated.…

Solar and Stellar Astrophysics · Physics 2015-06-11 Sebastian Lange , Felix Spanier

We report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i.e., the model evolution is discontinuous and displays many scales in a…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. I. Hurtado , J. Marro , P. L. Garrido

In confined plasmas, a localized fluctuation in a marginal or weakly damped region will propagate and generate an avalanche if it exceeds a threshold. In this letter, a new model for turbulence spreading based on subcritical instability in…

Plasma Physics · Physics 2019-03-27 R. A. Heinonen , P. H. Diamond

Using hybrid-kinetic particle-in-cell simulation, we study the evolution of an expanding, collisionless, magnetized plasma in which strong Alfv\'enic turbulence is persistently driven. Temperature anisotropy generated adiabatically by the…

High Energy Astrophysical Phenomena · Physics 2021-12-08 A. F. A. Bott , L. Arzamasskiy , M. W. Kunz , E. Quataert , J. Squire

A higher-order multiscale analysis of the dissipation range of collisionless plasma turbulence is presented using in-situ high-frequency magnetic field measurements from the Cluster spacecraft in a stationary interval of fast ambient solar…

Plasma Physics · Physics 2012-07-25 K. H. Kiyani , S. C. Chapman , Yu. V. Khotyaintsev , M. W. Dunlop

Turbulence is a phenomenon found throughout space and astrophysical plasmas. It plays an important role in solar coronal heating, acceleration of the solar wind, and heating of the interstellar medium. Turbulence in these regimes is…

Solar and Stellar Astrophysics · Physics 2015-06-16 D. J. Drake , J. W. R. Schroeder , G. G. Howes , C. A. Kletzing , F. Skiff , T. A. Carter , D. W. Auerbach

We demonstrate that at long times the rate of passive scalar decay in a turbulent, or simply chaotic, flow is dominated by regions (in real space or in inverse space) where mixing is less efficient. We examine two situations. The first is…

Chaotic Dynamics · Physics 2009-11-07 M. Chertkov , V. Lebedev

In weakly-collisional plasma environments with sufficiently low electron beta, Alfv\'enic turbulence transforms into inertial Alfv\'enic turbulence at scales below the electron skin-depth, $k_\perp d_e\gtrsim 1$. We argue that, in inertial…

Plasma Physics · Physics 2021-01-04 Lucio M. Milanese , Nuno F. Loureiro , Maximilian Daschner , Stanislav Boldyrev

In turbulent flows subject to strong background rotation, the advective mechanisms of turbulence are superseded by the propagation of inertial waves, as the effects of rotation become dominant. While this mechanism has been identified…

Fluid Dynamics · Physics 2020-02-19 J. A. Brons , P. J. Thomas , A. Potherat

The Olami--Feder--Christensen earthquake model is often considered the prototype dissipative self--organized critical model. It is shown that the size distribution of events in this model results from a complex interplay of several…

Statistical Mechanics · Physics 2009-11-07 Barbara Drossel

We present the results of a numerical investigation of three-dimensional decaying turbulence with statistically homogeneous and anisotropic initial conditions. We show that at large times, in the inertial range of scales: (i) isotropic…

Chaotic Dynamics · Physics 2007-05-23 L. Biferale , G. Boffetta , A. Celani , A. Lanotte , F. Toschi , M. Vergassola

In this letter, a theoretical method for the analysis of diffusive flux/current to limited scale self-affine random fractals is presented and compared with experimentally measured electrochemical current for such roughness. The theory…

Chemical Physics · Physics 2007-05-23 Rama Kant

Motivated by recent observations of distinct parallel and perpendicular signatures in magnetic helicity measurements segregated by wave period and angle between the local magnetic field and the solar wind velocity, this paper undertakes a…

Plasma Physics · Physics 2015-06-19 Kristopher G. Klein , Gregory G. Howes , Jason M. TenBarge , John J. Podesta

We present experimental evidence and theoretical arguments showing that the time-evolution of freely decaying 2-d turbulence is governed by a {\it discrete} time scale invariance rather than a continuous time scale invariance. Physically,…

Condensed Matter · Physics 2009-10-31 Anders Johansen , Didier Sornette , Adam Espe Hansen

Fluctuations in the Sun's photospheric magnetic field are the primary source of the turbulence that can heat and accelerate the solar atmosphere, and thus play an important role in the production and evolution of the solar wind that…

Solar and Stellar Astrophysics · Physics 2025-11-26 Rohit Chhiber , Raphael Attie , William H. Matthaeus , Sohom Roy , Barbara J. Thompson

The aim of the article is to investigate the relative dispersion properties of the Well Mixed class of Lagrangian Stochastic Models. Dimensional analysis shows that given a model in the class, its properties depend solely on a…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Maurizi , G. Pagnini , F. Tampieri

Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space nonlocal fluctuations in the collisional plasma is constructed. In local equilibrium a generalized version of the Callen-Welton theorem is…

Plasma Physics · Physics 2007-05-23 V. Belyi
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