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Avalanching Systems with Longer Range Connectivity: Occurrence of a Crossover Phenomenon and Multifractal Finite Size Scaling

Simone Benella, Giuseppe Consolini, Fabio Giannattasio, Tom Chang, Marius Echim
2017 Entropy  
The analysis clearly indicates the occurrence of a crossover phenomenon in the statistics of the relaxation events as a function of the percentage of longer range links and the breaking of the simple Finite  ...  However, a common feature of these models is the assumption of a local connectivity, while in many real systems, we have evidence for longer range connectivity and a complex topology of the interacting  ...  As we will see, due to the presence of longer range connectivity, we observe the occurrence of a crossover phenomenon in the statistics of the avalanche size s distribution as a function of the fraction  ... 
doi:10.3390/e19080383 fatcat:cgdt6ezrtnbalfz65hpl46h244

Temporally disordered granular flow: A model of landslides

Bosiljka Tadić
1998 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
For the range of values μ_0^<μ_0 < 1 the critical steady states occur, which are characterized by multifractal scaling properties of the slide distributions and continuously varying critical exponents  ...  We propose and study numerically a stochastic cellular automaton model for the dynamics of granular materials with temporal disorder representing random variation of the diffusion probability 1-μ (t) around  ...  Multifractal scaling properties of landslide distributions By varying the lattice size L with µ 0 fixed in the scaling region we study the finite-size effects on the distributions of avalanches.  ... 
doi:10.1103/physreve.57.4375 fatcat:7x7faoyeczg5bcumnswpanvifi

Scale-invariant behavior in a spatial game of prisoners' dilemma

Y. F. Lim, Kan Chen, C. Jayaprakash
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
A spatially extended version of the game of prisoner's dilemma, originally proposed by Nowak and May, is modified to include stochastic updating and found to exhibit scale-invariant behavior.  ...  local perturbations is characterized by avalanches of various magnitudes, which cause restructuring of the networks of defectors on all scales.  ...  Nevertheless, the occurrence of scaling behavior over a wide range of scales is an interesting phenomenon in models used in the context of evolutionary biology.  ... 
doi:10.1103/physreve.65.026134 pmid:11863614 fatcat:vqphu6hlqvcpvbj7j5hwhis6yi

The Portevin-Le Chatelier Effect and Beyond [article]

Mikhail A. Lebyodkin, Tatiana A. Lebedkina
2021 arXiv   pre-print
It concludes with the formulation of diverse open questions, notably concerning manifestations of the collective dislocation dynamics pertaining to finer scales of plastic deformation processes, as compared  ...  This phenomenon uncovers an inherently collective nature of the dynamics of crystal defects.  ...  This guess follows from the absence of a cut-off at relatively large energies, which is usually observed for various dynamical systems due to a finite system size which limits the avalanche size and also  ... 
arXiv:2104.07018v1 fatcat:4hwp2ibyuvcg7c7gb6obdabaxi

FLUCTUATIONS, NOISE AND SCALING IN THE CARDIO-PULMONARY SYSTEM

BÉLA SUKI, ADRIANO M. ALENCAR, URS FREY, PLAMEN CH. IVANOV, SERGEY V. BULDYREV, ARNAB MAJUMDAR, H. EUGENE STANLEY, CHRISTOPHER A. DAWSON, GARY S. KRENZ, MICHIAKI MISHIMA
2003 Fluctuation and Noise Letters  
First, we overview fluctuations and scaling in respiratory rate variability in terms of a neural network model.  ...  The focus will be on the interpretation of scaling behaviors and their relation to structure-function in the normal and diseased cardio-pulmonary system.  ...  Acknowledgement This study was supported by grants NSF BES-0114538, and HL59215-04 and HL 19298 from the National Heart, Lung and Blood Institute, and the Department of Veterans' Affairs.  ... 
doi:10.1142/s0219477503001142 fatcat:wclv5kcqhfdargrzdsfe5b4lc4

Deformation and flow of amorphous solids: Insights from elastoplastic models

Alexandre Nicolas, Ezequiel E. Ferrero, Kirsten Martens, Jean-Louis Barrat
2018 Reviews of Modern Physics  
with respect to criticality at the yielding point and the statistics of avalanches of plastic events.  ...  Furthermore, we discuss connections with concurrent mean-field approaches and with related problems such as the plasticity of crystals and the depinning of an elastic line.  ...  In a nutshell, at vanishing deposition rate, the cumulative distributions of S and T exhibit power-law scalings, with a cut-off at large scales due to the finite size of the system, viz., C S (S) = S 1  ... 
doi:10.1103/revmodphys.90.045006 fatcat:h45igmigzveunmw2v6r2tdger4

Econophysics of Stock and Foreign Currency Exchange Markets [article]

Marcel Ausloos
2006 arXiv   pre-print
Econophysics is a science in its infancy, born about ten years ago at this time of writing, at the crossing roads of physics, mathematics, computing and of course economics and finance.  ...  A few data analysis techniques are described with emphasis on the Detrended Fluctuation Analysis (DFA) and the Zipf Analysis Technique (ZAT).  ...  Outside the scaling range the error bars are larger often because of so called finite size effects, and/or the lack of numerous data points.  ... 
arXiv:physics/0606012v1 fatcat:u72447boh5amvft26w6b6chuz4

Fluctuations in crystalline plasticity

Jérôme Weiss, Peng Zhang, Oğuz Umut Salman, Gang Liu, Lev Truskinovsky
2021 Comptes rendus. Physique  
We discuss the physical origin and the scaling properties of plastic fluctuations and address the nature of their dependence on crystalline symmetry, system size, and disorder content.  ...  We link this size effect with size dependence of strength ("smaller is stronger") and the size-induced switch between different hardening mechanisms.  ...  Acknowledgements We would like to thank David Rodney for highly valuable comments and suggestions. This work was supported by French-Chinese ANR-NSFC grant (ANR-19-CE08-0010-01 and 51761135031).  ... 
doi:10.5802/crphys.51 fatcat:hlg6wlrowvb5bgis7b7c3yvrd4

Statistical models of fracture

Mikko J. Alava, Phani K. V. V. Nukala, Stefano Zapperi
2006 Advances in Physics  
Among these partly still controversial issues, are the scaling and size effects in material strength and accumulated damage, the statistics of avalanches or bursts of microfailures, and the morphology  ...  Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics.  ...  In addition, the avalanche size distribution is described by a scaling form PðsÞ $ s À f ½sðH c À HÞ , ð75Þ with ¼ 3=2 and ¼ 1.  ... 
doi:10.1080/00018730300741518 fatcat:lci2ujifsngcdgjjgzneknxm7y

Prediction [article]

Didier Sornette, Ivan Osorio
2010 arXiv   pre-print
This chapter first presents a rather personal view of some different aspects of predictability, going in crescendo from simple linear systems to high-dimensional nonlinear systems with stochastic forcing  ...  A key insight is to organize the evidence and mechanisms in terms of two summarizing measures: (i) amplitude of disorder or heterogeneity in the system and (ii) level of coupling or interaction strength  ...  characterized by a broad range of avalanche sizes quantified by a power law distribution.  ... 
arXiv:1007.2420v1 fatcat:5rivn4q4w5ggfpaihcdwokujjm

Floods and Landslides [chapter]

2018 Reduction And Predictability Of Natural Disasters  
This volume was typeset using T^Xtures on a Macintosh Ilsi computer. ISBN 13: 978-0-201-87049-7 (pbk) ISBN 13: 978-0-201-87048-0 (hbk) Studies in the Sciences of Complexity P roceed in gs V olum es  ...  No part of this book may be reprinted or reproduced or utilised in any form or by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying and recording, or in  ...  Scaling invariance over a prescribed range of scales means that the dominant features of a system cannot be inferred from a snapshot of it since they remain invariant as the size or the scale of the system  ... 
doi:10.4324/9780429492549-6 fatcat:4fldgxsymrb2re5cov74cxjvie

Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics

Timothy Halpin-Healy, Yi-Cheng Zhang
1995 Physics reports  
Or finally, consider a random, very dense and essentially two-dimensional packing of tiny glass beads (roughly, but not uniformly, sand grain size, though entirely transparent), sandwiched between two  ...  concerned with a statistical description of kinetically roughened surfaces.  ...  Acknowledgments This review started with a suggestion by Itamar Procaccia a couple of years ago.  ... 
doi:10.1016/0370-1573(94)00087-j fatcat:kwz2xwvx2zaxdbawslxuq5jij4

ABSTRACTS OF INVITED LECTURES

2007 Acta Clinica Belgica  
Here we model an isolated quantum computer as a twodimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings.  ...  Next we carry out a detailed numerical study of these solutions using a Fourier pseudospectral method combined with a finite-difference scheme, in parameter regions where soliton-like behavior is observed  ...  We review and describe some recent experiments that illuminate the problem and discuss a combination of almost periodic and stochastic frequency modulation as a signature of the system dynamics.  ... 
doi:10.1179/acb.2007.62.s1.032 pmid:24881725 fatcat:d37omd2l2nhnfnqjw7nbb7gjt4

Abstracts of Invited Lectures

2012 Asia-Pacific Psychiatry  
Here we model an isolated quantum computer as a twodimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings.  ...  Next we carry out a detailed numerical study of these solutions using a Fourier pseudospectral method combined with a finite-difference scheme, in parameter regions where soliton-like behavior is observed  ...  We review and describe some recent experiments that illuminate the problem and discuss a combination of almost periodic and stochastic frequency modulation as a signature of the system dynamics.  ... 
doi:10.1111/appy.12002 fatcat:snd6hn73bvh5liawo4pkmxirue

Short-time growth of a Kardar-Parisi-Zhang interface with flat initial conditions

Thomas Gueudré, Pierre Le Doussal, Alberto Rosso, Adrien Henry, Pasquale Calabrese
2012 Physical Review E  
The short time behavior of the 1+1 dimensional KPZ growth equation with a flat initial condition is obtained from the exact expressions of the moments of the partition function of a directed polymer with  ...  The short time limit considered here is relevant for the study of the interface growth in the large diffusivity/weak noise limit, and describes the universal crossover between the Edwards-Wilkinson and  ...  We gratefully acknowledge Severine Atis, Pierre Le Doussal, and Dominique Salin for useful discussions.  ... 
doi:10.1103/physreve.86.041151 pmid:23214573 fatcat:lkmviyupqjazxb5zdvbr4pff3a
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