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Avalanches are rapid cascades of rearrangements driven by cooperative flipping of hysteretic local elements. Here we show that flipping dynamics and race conditions -- where multiple elements become unstable simultaneously -- give rise to…

Soft Condensed Matter · Physics 2025-11-18 Lishuai Jin , Martin van Hecke

Instabilities and strong dynamical interactions between several giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities would…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Marketa Havlickova , Frederic A. Rasio

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary…

Statistical Mechanics · Physics 2018-08-15 Maximilien Barbier , Pierre Gaspard

We demonstrate, through 3-dimensional discrete dislocation dynamics simulations, that the com- plex dynamical response of nano and micro crystals to external constraints can be tuned. Under load rate control, strain bursts are shown to…

Materials Science · Physics 2016-11-03 Yinan Cui , Giacomo Po , Nasr Ghoniem

A new type of dynamical behavior of a multistable system is reported. We found that a simple non-equilibrium system can reduce its effective temperature autonomously at a global minimum if the residual frustration at a global minimum is…

adap-org · Physics 2009-10-28 Tsuyoshi Hondou

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

We demonstrate that hyperuniformity, the suppression of density fluctuations at large length scales, emerges generically from the interplay between conservation laws and non-equilibrium driving. The underlying mechanism for this emergence…

Statistical Mechanics · Physics 2025-12-09 Raphaël Maire , Ludivine Chaix

It is commonly assumed that a large system, weakly coupled to a thermal environment through its boundaries, relaxes quasistatically towards the new equilibrium even when the temperature of the environment changes abruptly. Here we show how…

Statistical Mechanics · Physics 2024-11-21 Ran Yaacoby , Oren Raz , Gianluca Teza

We discuss diffusion properties of a dynamical system, which is characterised by long-tail distributions and finite correlations. The particle velocity has the stable L\'evy distribution; it is assumed as a jumping process (the kangaroo…

Statistical Mechanics · Physics 2011-06-21 Tomasz Srokowski

The yielding transition in amorphous materials, whether driven passively (simple shear) or actively, remains a fundamental open question in soft matter physics. While avalanche statistics at the critical point have been extensively studied,…

Soft Condensed Matter · Physics 2025-12-12 Leonardo Relmucao-Leiva , Carlos Villarroel , Gustavo Düring

We establish the relation between local stability of equilibria and slopes of critical curves for a specific class of difference equations. We then use this result to give global behavior results for nonnegative solutions of the system of…

Dynamical Systems · Mathematics 2008-12-18 Sukanya Basu , Orlando Merino

Crystal plasticity occurs by deformation bursts due to the avalanche-like motion of dislocations. Here we perform extensive numerical simulations of a three-dimensional dislocation dynamics model under quasistatic stress-controlled loading.…

Statistical Mechanics · Physics 2016-08-24 Arttu Lehtinen , Giulio Costantini , Mikko J. Alava , Stefano Zapperi , Lasse Laurson

The study of stochastic systems has received considerable interest over the years. Their dynamics can describe many equilibrium and nonequilibrium fluctuating systems. At the same time, nonequilibrium constraints interact with the time…

Statistical Mechanics · Physics 2011-03-14 David Andrieux

Topological defects are fundamental to the collective dynamics of non-equilibrium systems and in active matter, mediating spontaneous flows, dynamic self-organization, and emergent pattern formation. Here, we reveal critical states in…

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

Statistical Mechanics · Physics 2007-05-23 J. M. Rubi

A key feature of the classical Fluctuation Dissipation theorem is its ability to approximate the average response of a dynamical system to a sufficiently small external perturbation from an appropriate time correlation function of the…

Mathematical Physics · Physics 2019-10-02 Rafail V. Abramov

A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relativistic systems. The latter are found to display some new…

Nuclear Theory · Physics 2024-06-04 Lorenzo Gavassino , Marcelo M. Disconzi , Jorge Noronha

Out of equilibrium quantum systems, on top of quantum fluctuations, display complex temporal patterns. Such time fluctuations are generically exponentially small in the system volume and can be therefore safely ignored in most of the cases.…

Quantum Physics · Physics 2014-02-12 Lorenzo Campos Venuti , Paolo Zanardi

Disordered solids respond to quasistatic shear with intermittent avalanches of plastic activity, an example of the crackling noise observed in many nonequilibrium critical systems. The temporal power spectrum of activity within disordered…

Soft Condensed Matter · Physics 2021-04-21 Joel T. Clemmer , K. Michael Salerno , Mark O. Robbins

We examine the Jarzynski equality for a quenching process across the critical point of second-order phase transitions, where absolute irreversibility and the effect of finite-sampling of the initial equilibrium distribution arise on an…

Statistical Mechanics · Physics 2015-08-12 Danh-Tai Hoang , B. Prasanna Venkatesh , Seungju Han , Junghyo Jo , Gentaro Watanabe , Mahn-Soo Choi