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We give a theoretical description of avalanche-like dynamics of magnetic flux in the critical state of "hard" type-II superconductors using a model of a one-dimensional multijunction SQUID that well reproduces the main magnetic properties…

Superconductivity · Physics 2009-11-11 S. L. Ginzburg , A. V. Nakin , N. E. Savitskaya

The behaviour of the Random Anisotropy Ising model at T=0 under local relaxation dynamics is studied. The model includes a dominant ferromagnetic interaction and assumes an infinite anisotropy at each site along local anisotropy axes which…

Disordered Systems and Neural Networks · Physics 2009-10-31 Eduard Vives , Antoni Planes

We study hysteretic phenomena in random ferromagnets. We argue that the angle dependent magnetostatic (dipolar) terms introduce frustration and long range interactions in these systems. This makes it plausible that the Sherrington -…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ferenc Pazmandi , Gergely Zarand , Gergely T. Zimanyi

Magnetic hysteresis loops below 300 mK on single crystals of the Mn(II) - nitronyl nitroxide free radical chain (Mn(hfac)_2({\it R})-3MLNN) present abrupt reversals of the magnetization, or avalanches. We show that, below 200 mK, the…

Materials Science · Physics 2008-09-12 E. Lhotel , D. B. Amabilino , C. Sporer , D. Luneau , J. Veciana , C. Paulsen

We investigate the magnetization reversal processes on classes of complex spin networks with antiferromagnetic interaction along the network links. With slow field ramping the hysteresis loop and avalanches of spin flips occur due to…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Malarz , W. Antosiewicz , J. Karpinska , K. Kulakowski , B. Tadic

Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We study the problem in the context of the mean-field Ising…

Probability · Mathematics 2013-12-03 Gioia Carinci

We study avalanches along the hysteresis loop of long-range interacting spin-glasses with continuous XY-symmetry - which serves as a toy model of granular superconductors with long-range and frustrated Josephson couplings. We identify…

Disordered Systems and Neural Networks · Physics 2015-06-22 Auditya Sharma , Alexei Andreanov , Markus Mueller

Critical hysteresis in ferromagnets is investigated through a $N$-component spin model with random anisotropies, more prevalent experimentally than the random fields used in most theoretical studies. Metastability, and the tensorial nature…

Materials Science · Physics 2009-11-10 Rava A. da Silveira , Stefano Zapperi

We show that large, slowly driven systems can evolve to a self-organized critical state where long range temporal correlations between bursts or avalanches produce low frequency $1/f^{\alpha}$ noise. The avalanches can occur instantaneously…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , M. Paczuski

This paper presents experimental evidence and theoretical models supporting that dry friction stick-slip is described by self-organized criticality. We use the data, obtained with a pin-on-disc tribometer set to measure lateral force to…

Materials Science · Physics 2009-11-11 Sergey V. Buldyrev , John Ferrante , Fredy R. Zypman

Avalanches of the magnetization, that is to say an abrupt reversal of the magnetization at a given field, have been previously reported in the spin-ice compound Dy$_{2}$Ti$_{2}$O$_{7}$. This out-of-equilibrium process, induced by…

Strongly Correlated Electrons · Physics 2015-06-19 M. J. Jackson , E. Lhotel , S. R. Giblin , S. T. Bramwell , D. Prabhakaran , K. Matsuhira , Z. Hiroi , Q. Yu , C. Paulsen

Experiments in various neural systems found avalanches: bursts of activity with characteristics typical for critical dynamics. A possible explanation for their occurrence is an underlying network that self-organizes into a critical state.…

Neurons and Cognition · Quantitative Biology 2018-11-08 Felipe Yaroslav Kalle Kossio , Sven Goedeke , Benjamin van den Akker , Borja Ibarz , Raoul-Martin Memmesheimer

We studied the critical state stability in a large cubic sample of a single crystalline La(1.85)Sr(0.15)CuO(4) for different sample orientations with respect to the external magnetic field as well as the dynamics of the flux jumps. It is…

Many experimental results, both in-vivo and in-vitro, support the idea that the brain cortex operates near a critical point, and at the same time works as a reservoir of precise spatio-temporal patterns. However the mechanism at the basis…

Neurons and Cognition · Quantitative Biology 2019-06-14 S. Scarpetta , I. Apicella , L. Minati , A. de Candia

In presence of impurities, ferromagnetic and ferroelectric domain walls slide only above a finite external field. Close to this depinning threshold, they proceed by large and abrupt jumps, called avalanches, while, at much smaller field,…

Disordered Systems and Neural Networks · Physics 2017-04-12 Ezequiel E. Ferrero , Laura Foini , Thierry Giamarchi , Alejandro B. Kolton , Alberto Rosso

We investigate the conditions required for general spin systems with frustration and disorder to display self-organized criticality, a property which so far has been established only for the fully-connected infinite-range…

Disordered Systems and Neural Networks · Physics 2013-08-29 Juan Carlos Andresen , Zheng Zhu , Ruben S. Andrist , Helmut G. Katzgraber , V. Dobrosavljevic , Gergely T. Zimanyi

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna

Using numerical simulations, we examine the dynamics of active matter run-and-tumble disks moving in a disordered array of obstacles. As a function of increasing active disk density and activity, we find a transition from a completely…

Soft Condensed Matter · Physics 2019-09-13 C. J. O. Reichhardt , C. Reichhardt

The penetration of magnetic flux into a thin film of YBa$_2$Cu$_3$O$_{7-x}$ is studied when the external field is ramped slowly. In this case the flux penetrates in bursts or avalanches. The size of these avalanches is distributed according…

Soft Condensed Matter · Physics 2007-05-23 C. M. Aegerter , M. S. Welling , R. J. Wijngaarden

Self-organized criticality elucidates the conditions under which physical and biological systems tune themselves to the edge of a second-order phase transition, with scale invariance. Motivated by the empirical observation of bimodal…

Statistical Mechanics · Physics 2016-06-22 Serena di Santo , Raffaella Burioni , Alessandro Vezzani , Miguel A. Muñoz
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