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We address the effect of disorder geometry on the critical force in disordered elastic systems. We focus on the model system of a long-range elastic line driven in a random landscape. In the collective pinning regime, we compute the…

Statistical Mechanics · Physics 2016-11-09 Vincent Démery , Vivien Lecomte , Alberto Rosso

We explore the quench dynamics of a two-dimensional, weakly interacting disordered Bose gas for various relative strengths of interactions and disorder. This allows us to identify two well distinct out-of-equilibrium regimes. When…

Quantum Gases · Physics 2021-06-22 Thibault Scoquart , Pierre-Élie Larré , Dominique Delande , Nicolas Cherroret

Developing a unified theory describing both ductile and brittle yielding constitutes a fundamental challenge of non-equilibrium statistical physics. Recently, it has been proposed that the nature of the yielding transition is controlled by…

Soft Condensed Matter · Physics 2024-11-22 Jack T. Parley , Peter Sollich

Various functions of a network of excitable units can be enhanced if the network is in the `critical regime', where excitations are, on average, neither damped nor amplified. An important question is how can such networks self-organize to…

Disordered Systems and Neural Networks · Physics 2020-02-19 Yogesh S. Virkar , Juan G. Restrepo , Woodrow L. Shew , Edward Ott

We study the nonequilibrium dynamics of a binary disordered alloy when it is subjected to an interaction quench. Our study uses a nonequilibrium embedding scheme (DMFT+CPA) that combines the capacity of DMFT (dynamical mean field theory) to…

Strongly Correlated Electrons · Physics 2025-04-01 Aly Abuelmaged , Eric Dohner , Shang-Jie Liou , Herbert F Fotso

We consider anisotropic long-range interacting spin systems in $d$ dimensions. The interaction between the spins decays with the distance as a power law with different exponents in different directions: we consider an exponent…

Statistical Mechanics · Physics 2016-12-14 Nicolò Defenu , Andrea Trombettoni , Stefano Ruffo

As a function of the disorder strength in a mesoscopic system, the electron dynamics crosses over from the ballistic through the diffusive towards the localized regime. The ballistic and the localized situation correspond to integrable or…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dietmar Weinmann , Sigmund Kohler , Gert-Ludwig Ingold , Peter Hänggi

After having introduced the notion of universality in statistical mechanics and its importance for our comprehension of the macroscopic behavior of interacting systems, I review recent progress in the understanding of the scaling limit of…

Mathematical Physics · Physics 2021-11-01 Alessandro Giuliani

Understanding how simple local interactions give rise to emergent exploration patterns is a fundamental question in statistical physics. We introduce a minimal model of two coupled agents that avoid retracing their own paths while being…

Populations and Evolution · Quantitative Biology 2026-03-24 Nick Dashti , M. N. Najafi , Debra J. Searles

Long range interactions are relevant for a wide range of phenomena in physics where they often present a challenge to theory. In condensed matter, the interplay of Coulomb interaction and disorder remains largely an unsolved problem. In two…

Disordered Systems and Neural Networks · Physics 2019-08-21 Z. Ovadyahu

In disordered elastic systems, driven by displacing a parabolic confining potential adiabatically slowly, all advance of the system is in bursts, termed avalanches. Avalanches have a finite extension in time, which is much smaller than the…

Disordered Systems and Neural Networks · Physics 2017-12-20 Zhaoxuan Zhu , Kay Joerg Wiese

In many complex systems a continuous input of energy over time can be suddenly relaxed in the form of avalanches. Conventional avalanche models disregard the possibility of internal dynamical effects in the inter-avalanche periods, and thus…

Statistical Mechanics · Physics 2015-07-02 E. A. Jagla , François P. Landes , Alberto Rosso

It is shown that intrinsically anisotropic non-equilibrium systems relaxing by a dynamic process exhibit universal critical behavior during their evolution toward non-equilibrium stationary states. An anisotropic scaling anzats for the…

Statistical Mechanics · Physics 2009-11-07 Ezequiel V. Albano , Gustavo Saracco

We study the impact of a random quenched potentials and torques on scalar active matter. Microscopic simulations reveal that motility-induced phase separation is replaced in two-dimensions by an asymptotically homogeneous phase with…

Statistical Mechanics · Physics 2021-02-02 Sunghan Ro , Yariv Kafri , Mehran Kardar , Julien Tailleur

Cascading large-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during…

Neurons and Cognition · Quantitative Biology 2021-07-28 Kanika Bansal , Javier O. Garcia , Nina Lauharatanahirun , Sarah F. Muldoon , Paul Sajda , Jean M. Vettel

We find that some equilibrium systems and their non-equilibrium counterparts actually show the same jerky response or avalanche behavior on many scales in response to slowly changing external conditions. In other words, their static and…

Disordered Systems and Neural Networks · Physics 2010-02-24 Yang Liu , Karin A. Dahmen

We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized…

Strongly Correlated Electrons · Physics 2021-03-03 Byungmin Kang , S. A. Parameswaran , Andrew C. Potter , Romain Vasseur , Snir Gazit

We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on i) the localization volume of a mode which defines the number of interacting partner modes, ii) the overlap…

Disordered Systems and Neural Networks · Physics 2015-05-19 D. O. Krimer , S. Flach

Despite considerable work on the energy-level and wavefunction statistics of disordered quantum systems, numerical studies of those statistics relevant for electron-electron interactions in mesoscopic systems have been lacking. We plug this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mike Miller , Denis Ullmo , Harold U. Baranger

We attempt to give a bird's eye view of the physical mechanisms leading to anomalous relaxation, and the relation of this phenomenon with anomalous diffusion and transport. Whereas in some cases these two notions are indeed deeply related,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Philippe Bouchaud