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We study transport properties in a slowly driven diffusive system where the transport is externally controlled by a parameter $p$. Three types of behavior are found: For $p<p'$ the system is not conducting at all. For intermediate $p$ a…

Statistical Mechanics · Physics 2009-10-30 M. Markosova , M. H. Jensen , K. B. Lauritsen , K. Sneppen

Recognising changes in collective dynamics in complex systems is essential for predicting potential events and their development. Possessing intrinsic attractors with laws associated with scale invariance, self-organised critical dynamics…

Statistical Mechanics · Physics 2024-03-26 Bosiljka Tadic , Alexander Shapoval , Mikhail Shnirman

In this article we study the properties of distributed systems that mix eventual and strong consistency. We formalize such systems through acute cloud types (ACTs), abstractions similar to conflict-free replicated data types (CRDTs), which…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-15 Maciej Kokociński , Tadeusz Kobus , Paweł T. Wojciechowski

Socio-technical systems, where technological and human elements interact in a goal-oriented manner, provide important functional support to our societies. Here we draw attention to the underappreciated concept of timeliness -- i.e., system…

Physics and Society · Physics 2025-02-27 José Moran , Frank P. Pijpers , Utz Weitzel , Jean-Philippe Bouchaud , Debabrata Panja

A system defined by two coupled Ising models, with a bimodal random field acting in one of them, is investigated. The interactions among variables of each Ising system are infinite-ranged, a limit where mean field becomes exact. This model…

Statistical Mechanics · Physics 2014-06-24 Octavio D. Rodriguez Salmon , Fernando Dantas Nobre

We show that correlated dynamics and long time memory persist in self-organized criticality (SOC) systems even when forced away from the defined critical point that exists at vanishing drive strength. These temporal correlations are found…

Statistical Mechanics · Physics 2016-08-16 Ryan Woodard , David E. Newman , Raúl Sánchez , Benjamin A. Carreras

Communication networks involve the transmission and reception of large volumes of data. Research indicates that network traffic volumes will continue to increase. These traffic volumes will be unprecedented and the behaviour of global…

Human-Computer Interaction · Computer Science 2017-12-01 Paul Vickers , Chris Laing , Tom Fairfax

Many studies have found evidence that the brain operates at a critical point, a processus known as self-organized criticality. A recent paper found remarkable scalings suggestive of criticality in systems as different as neural cultures,…

Neurons and Cognition · Quantitative Biology 2020-12-29 Alain Destexhe , Jonathan D. Touboul

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matti Nykter , Nathan D. Price , Antti Larjo , Tommi Aho , Stuart A. Kauffman , Olli Yli-Harja , Ilya Shmulevich

While network abrupt breakdowns due to overloads and cascading failures have been studied extensively, the critical exponents and the universality class of such phase transitions have not been discussed. Here, we study breakdowns triggered…

Physics and Society · Physics 2024-03-07 Ignacio A. Perez , Dana Ben Porath , Cristian E. La Rocca , Lidia A. Braunstein , Shlomo Havlin

Activated Random Walk is a particle system displaying Self-Organized Criticality, in that the dynamics spontaneously drive the system to a critical state. How universal is this critical state? We state many interlocking conjectures aimed at…

Probability · Mathematics 2023-06-16 Lionel Levine , Vittoria Silvestri

Critical observability is a property of cyber-physical systems to detect whether the current state belongs to a set of critical states. In safety-critical applications, critical states model operations that may be unsafe or of a particular…

Systems and Control · Computer Science 2019-04-18 Tomáš Masopust

Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatio-temporal chaotic state above a certain coupling strength. The synchronization…

Chaotic Dynamics · Physics 2009-11-11 Claudio Juan Tessone , Massimo Cencini , Alessandro Torcini

In this work, we explore an unconventional class of problems in the study of (quantum) critical phenomena, termed ''deep boundary criticality''. Traditionally, critical systems are analyzed with two types of perturbations: those uniformly…

Strongly Correlated Electrons · Physics 2025-10-23 Shang Liu

Cooperation and self-organized criticality are two main keywords in current studies of evolution. We propose a generalized Bak-Sneppen model and provide a natural mechanism which accounts for both phenomena simultaneously. We use the…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Sangmin Park , Hyeong-Chai Jeong

Spontaneous collapse models, which are phenomenological mechanisms introduced and designed to account for dynamical wavepacket reduction, are attracting a growing interest from the community interested in the characterisation of the…

Quantum Physics · Physics 2025-05-15 Giorgio Zicari , Matteo Carlesso , Andrea Trombettoni , Mauro Paternostro

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interaction that…

Condensed Matter · Physics 2009-10-28 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera , Alex Arenas

Criticality has been proposed as a key principle underlying complex behavior in biological and artificial systems; however, how criticality translates from individual dynamics to collective behavior remains unclear. We study this question…

Adaptation and Self-Organizing Systems · Physics 2026-05-05 Nicolas Bessone , Erwan Plantec

A grand challenge in many-body quantum physics is to explain the apparent connection between quantum criticality and high-temperature superconductivity in the cuprates and similar systems, such as the iron pnictides and chalcogenides. Here…

Superconductivity · Physics 2012-05-30 Josef Ashkenazi , Neil F. Johnson

We discuss the critical behaviour of 2D Ising and q-states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal…

Statistical Mechanics · Physics 2009-10-30 P. Simon