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The propagation of the effects connected with the occurrence of magnetization reversals in an amorphous ribbon of Fe$_{63}$B$_{64}$Si$_{8}$Ni$_{15}$ has been investigated using a method based on two pickup coils separated by a distance…

Statistical Mechanics · Physics 2025-03-03 E. Puppin , M. Zani , E. Pinotti

Brownian yet non-Gaussian processes have recently been observed in numerous biological systems and the corresponding theories have been built based on random diffusivity models. Considering the particularity of random diffusivity, this…

Statistical Mechanics · Physics 2022-08-31 Xudong Wang , Yao Chen

In the past two decades or so, we have learned how to understand crackling noise in a wide variety of systems. We review here the basic ideas and methods we use to understand crackling noise - critical phenomena, universality, the…

Disordered Systems and Neural Networks · Physics 2007-05-23 James P. Sethna

Acoustic emission signals have been shown to accompany avalanche-like events in materials, such as dislocation avalanches in crystalline solids, collapse of voids in porous matter or domain wall movement in ferroics. The data provided by…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Dénes Berta , Balduin Katzer , Katrin Schulz , Péter Dusán Ispánovity

A bundle of fibers has been considered here as a model for composite materials, where breaking of the fibers occur due to a combined influence of applied load (stress) and external noise. Through numerical simulation and a mean-field…

Statistical Mechanics · Physics 2013-07-26 Srutarshi Pradhan , Anjan Kumar Chandra , Bikas K. Chakrabarti

Plastic deformation of micron-scale crystalline materials differ considerably from bulk ones, because it is characterized by random strain bursts. To obtain a detailed picture about this stochastic phenomenon, micron sized pillars have been…

The probability density function (PDF) of the roughness, i.e., of the temporal variance, of 1/f^alpha noise signals is studied. Our starting point is the generalization of the model of Gaussian, time-periodic, 1/f noise, discussed in our…

Statistical Mechanics · Physics 2009-11-07 T. Antal , M. Droz , G. Gyorgyi , Z. Racz

We introduce a systematic method for extracting multivariable universal scaling functions and critical exponents from data. We exemplify our insights by analyzing simulations of avalanches in an interface using simulations from a driven…

Statistical Mechanics · Physics 2011-12-06 Yan-Jiun Chen , Stefanos Papanikolaou , James P. Sethna , Stefano Zapperi , Gianfranco Durin

We show that parton confinement in the final state generates large $1/Q^2$ corrections to Bjorken scaling, thus leaving less room for the logarithmic corrections. In particular, the $x$-scaling violations at large $x$ are entirely described…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. A. Gurvitz

Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be…

We present the results of a series of one-dimensional N-body and hydrodynamical simulations which have been used for testing the different clustering properties of baryonic and dark matter in an expanding background. Initial Gaussian random…

Astrophysics · Physics 2015-06-24 Claudio Gheller , Lauro Moscardini , Ornella Pantano

For a number of quantum critical points in one dimension quantum field theory has provided exact results for the scaling of spatial and temporal correlation functions. Experimental realizations of these models can be found in certain quasi…

Strongly Correlated Electrons · Physics 2020-09-11 Andrey Zheludev

We investigate theoretically the polarization switching kinetics in ferroelectric thin films. In such substances, the domain walls are pinned by (usually dipole) defects, which are present also in ordered samples as technologically…

Materials Science · Physics 2010-08-03 E. V. Kirichenko , V. A. Stephanovich

In this study, we have investigated the fluctuations of particle motion, i.e. the non-affine motion, during the avalanche process, discovering a rich dynamics from the microscopic to the macroscopic scales. We find that there is strong…

Soft Condensed Matter · Physics 2015-02-04 Ziwei Wang , Jie Zhang

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

In real-world applications, observations are often constrained to a small fraction of a system. Such spatial subsampling can be caused by the inaccessibility or the sheer size of the system, and cannot be overcome by longer sampling.…

Data Analysis, Statistics and Probability · Physics 2017-06-02 Anna Levina , Viola Priesemann

There has been a surge in the interest of using machine learning techniques to assist in the scientific process of formulating knowledge to explain observational data. We demonstrate the use of Bayesian Hidden Physics Models to first…

Machine Learning · Computer Science 2021-03-16 Steven Atkinson , Yiming Zhang , Liping Wang

In this talk I will present a complete theory for the behaviour of large-scale dynamical heterogeneities in glasses. Following the work arXiv:1001.1746 I will show that we can write a (physically motivated) simple stochastic differential…

Disordered Systems and Neural Networks · Physics 2010-09-09 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We highlight issues which are often underestimated in the experimental analyses on quarkonium polarization: the relation between the parameters of the angular distributions and the angular momentum composition of the quarkonium, the…

High Energy Physics - Phenomenology · Physics 2014-11-21 Pietro Faccioli , Carlos Lourenco , Joao Seixas , Hermine K. Woehri

We present a mathematical theory of dynamical fluctuations for the hard sphere gas in the Boltzmann-Grad limit. We prove that: (1) fluctuations of the empirical measure from the solution of the Boltzmann equation, scaled with the square…

Analysis of PDEs · Mathematics 2022-08-26 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella
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