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Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying…

Soft Condensed Matter · Physics 2026-03-17 Aditya Konale , Vikas Srivastava

Avalanches are often defined as signals higher than some detection level in bursty systems. The choice of the detection threshold affects the number of avalanches, but it can also affect their temporal correlations. We simulated the…

Statistical Mechanics · Physics 2022-06-02 Juha Savolainen , Lasse Laurson , Mikko Alava

We investigate experimentally and theoretically the dynamics of a crack front during the micro-instabilities taking place in heterogeneous materials between two successive equilibrium positions. We focus specifically on the spatio-temporal…

Soft Condensed Matter · Physics 2018-12-12 Chopin Julien , Bhaskar Aditya , Jog Atharv , Ponson Laurent

Network redundancy is one of the spatial network structural properties critical to robustness against cascading failures in power networks. The waiting-time distributions for network partitions in cascading failures explain how the spatial…

Physics and Society · Physics 2022-05-04 Long Huo , Xin Chen

Empirical estimation of critical points at which complex systems abruptly flip from one state to another is among the remaining challenges in network science. However, due to the stochastic nature of critical transitions it is widely…

Social and Information Networks · Computer Science 2014-07-09 B. Podobnik , T. Lipic , D. Horvatic , A. Majdandzic , S. Bishop , H. E. Stanley

We model spontaneous cortical activity with a network of coupled spiking units, in which multiple spatio-temporal patterns are stored as dynamical attractors. We introduce an order parameter, which measures the overlap (similarity) between…

Neurons and Cognition · Quantitative Biology 2015-06-17 Silvia Scarpetta , Antonio de Candia

Combining X-ray tomography with simultaneous shear force measurement, we investigate shear-induced granular avalanches using spherical particles with different surface roughness. We find that systems consisting of particles with large…

We investigate the connection between a formal property of the critical behavior of several systems in the presence of quenched disorder, known as "dimensional reduction", and the presence in the same systems at zero temperature of…

Disordered Systems and Neural Networks · Physics 2015-06-11 Gilles Tarjus , Maxime Baczyk , Matthieu Tissier

Accurate predictions of when a component will fail are crucial when planning maintenance, and by modeling the distribution of these failure times, survival models have shown to be particularly useful in this context. The presented…

Machine Learning · Computer Science 2024-03-28 Olov Holmer , Mattias Krysander , Erik Frisk

Resilience has emerged as a crucial concept for evaluating structural performance under disasters because of its ability to extend beyond traditional risk assessments, accounting for a system's ability to minimize disruptions and maintain…

Applications · Statistics 2024-04-23 Taeyong Kim , Sang-ri Yi

The critical behaviour of a Random Fiber Bundle Model with mixed uniform distribution of threshold strengths and global load sharing rule is studied with a special emphasis on the nature of distribution of avalanches for different…

Statistical Mechanics · Physics 2009-11-11 Uma Divakaran , Amit Dutta

The geometry and connectivity of fractures exert a strong influence on the flow and transport properties of fracture networks. We present a novel approach to stochastically generate three-dimensional discrete networks of connected fractures…

Geophysics · Physics 2017-01-10 C. Dorn , N. Linde , T. Le Borgne , O. Bour , J. -R. de Dreuzy

In many complex systems studied in statistical physics, inter-arrival times between events such as solar flares, trades and neuron voltages follow a heavy-tailed distribution. The set of event times is fractal-like, being dense in some time…

Statistics Theory · Mathematics 2020-09-16 Katharina Hees , Smarak Nayak , Peter Straka

We study the coarsening dynamics of a two dimensional system via lattice Boltzmann numerical simulations. The system under consideration is a biphasic system consisting of domains of a dispersed phase closely packed together in a continuous…

Soft Condensed Matter · Physics 2020-10-07 Francesca Pelusi , Mauro Sbragaglia , Roberto Benzi

The collapse of interdependent networks, as well as similar avalanche phenomena, is driven by cascading failures. At the critical point, the cascade begins as a critical branching process, where each failing node (element) triggers, on…

Physics and Society · Physics 2025-04-10 Dolev Dilmoney , Bnaya Gross , Shlomo Havlin , Nadav M. Shnerb

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

We present a general prediction scheme of failure times based on updating continuously with time the probability for failure of the global system, conditioned on the information revealed on the pre-existing idiosyncratic realization of the…

Materials Science · Physics 2009-11-11 D. Sornette , J. V. Andersen

Based on a theoretical model for opinion spreading on a network, through avalanches, the effect of external field is now considered, by using methods from non-equilibrium statistical mechanics. The original part contains the implementation…

Physics and Society · Physics 2014-01-20 Marcel Ausloos , Filippo Petroni

In this paper we investigate the statistical behavior of an annealed continuous damage model. For different model variations we study distributions of times to failure and compare these results with the classical case of metastable…

Statistical Mechanics · Physics 2009-10-28 S. G. Abaimov , A. Roy , J. P. Cusumano

Materials are often heterogeneous at various length scales, with variations in grain structure, defects, and composition which has a strong influence on the emergent macroscopic plastic behavior. In particular, heterogeneities lead to…

Materials Science · Physics 2024-06-17 Dénes Berta , David Kurunczi-Papp , Lasse Laurson , Péter Dusán Ispánovity