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We study a classical spin model (more precisely a class of models) with O(N) symmetry that can be viewed as a simplified $D$ dimensional lattice model. It is equivalent to a non-translationinvariant one dimensional model and contains the…

High Energy Physics - Lattice · Physics 2007-05-23 Erhard Seiler , Karim Yildirim

In the last decade many research efforts have been focused on understanding the rheology of disordered materials, and several theoretical predictions have been put forward regarding their yielding behavior. Nevertheless, not many…

Soft Condensed Matter · Physics 2021-06-29 Carlos Villarroel , Gustavo Düring

Apparent critical phenomena, typically indicated by growing correlation lengths and dynamical slowing-down, are ubiquitous in non-equilibrium systems such as supercooled liquids, amorphous solids, active matter and spin glasses. It is often…

Soft Condensed Matter · Physics 2021-04-07 Huaping Li , Yuliang Jin , Ying Jiang , Jeff Z. Y. Chen

In a world that constantly changes, it is crucial to understand how those changes impact different systems, such as industrial manufacturing or critical infrastructure. Explaining critical changes, referred to as concept drift in the field…

Machine Learning · Computer Science 2025-10-14 David Komnick , Kathrin Lammers , Barbara Hammer , Valerie Vaquet , Fabian Hinder

The effects of quenched disorder on the overdamped motion of a driven particle on a periodic, asymmetric potential is studied. While for the unperturbed potential the transport is due to a regular drift, the quenched disorder induces a…

Soft Condensed Matter · Physics 2009-10-31 M. N. Popescu , C. M. Arizmendi , A. L. Salas-Brito , F. Family

We investigate the two-dimensional four-color Ashkin-Teller model by means of large-scale Monte-Carlo simulations. We demonstrate that the first-order phase transition of the clean system is destroyed by random disorder introduced via site…

Disordered Systems and Neural Networks · Physics 2017-06-19 Ahmed K. Ibrahim , Thomas Vojta

Two different models exhibiting self-organized criticality are analyzed by means of the dynamic renormalization group. Although the two models differ by their behavior under a parity transformation of the order parameter, it is shown that…

Condensed Matter · Physics 2009-10-22 Albert Diaz-Guilera

The brain keeps its overall dynamics in a corridor of intermediate activity and it has been a long standing question what possible mechanism could achieve this task. Mechanisms from the field of statistical physics have long been suggesting…

Disordered Systems and Neural Networks · Physics 2014-10-08 Matthias Rybarsch , Stefan Bornholdt

We study the full class of kinetically constrained models in arbitrary dimension and out of equilibrium, in the regime where the density $q$ of facilitating sites in the equilibrium measure (but not necessarily in the initial measure) is…

Probability · Mathematics 2024-05-29 Ivailo Hartarsky , Fabio Toninelli

We study slowly pulling block-spring models in random media. Second-order phase transitions exist in a model pulled by a constant force in the case of velocity-strengthening friction. If external forces are slowly increased, nearly critical…

Statistical Mechanics · Physics 2017-06-28 Hidetsugu Sakaguchi , Shuntaro Kadowaki

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

We investigate how the introduction of different types of disorder affects the generation of entanglement between the internal (spin) and external (position) degrees of freedom in one-dimensional quantum random walks (QRW). Disorder is…

Quantum Physics · Physics 2014-04-11 Rafael Vieira , Edgard P. M. Amorim , Gustavo Rigolin

Much evidence seems to suggest cortex operates near a critical point, yet a single set of exponents defining its universality class has not been found. In fact, when critical exponents are estimated from data, they widely differ across…

Biological Physics · Physics 2021-05-11 Leandro Fosque , Rashid V. Williams-Garcia , John M. Beggs , Gerardo Ortiz

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

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 study Barkhausen noise in a diluted two-dimensional Ising model with the extended domain wall and weak random fields occurring due to coarse graining. We report two types of scaling behavior corresponding to (a) low disorder regime where…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadić

The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct…

Strongly Correlated Electrons · Physics 2025-12-12 Yu-Hsueh Chen , Tarun Grover

We present a general conceptual framework for self-organized criticality (SOC), based on the recognition that it is nothing but the expression, ''unfolded'' in a suitable parameter space, of an underlying {\em unstable} dynamical critical…

adap-org · Physics 2009-10-22 Didier Sornette , Anders Johansen , Ivan Dornic

We investigate a suggested path to self-organized criticality. Originally, this path was devised to "generate criticality" in systems displaying an absorbing-state phase transition, but closer examination of the mechanism reveals that it…

Statistical Mechanics · Physics 2007-05-23 Gunnar Pruessner , Ole Peters

Some models allowing explicit calculation of periodic instantons and evaluation of their action are studied with regard to transitions from classical to quantum behaviour as the temperature is lowered and tunneling sets in. It is shown that…

Condensed Matter · Physics 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , F. Zimmerschied