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We investigated two-dimensional brittle fragmentation with a flat impact experimentally, focusing on the low impact energy region near the fragmentation-critical point. We found that the universality class of fragmentation transition…

Statistical Mechanics · Physics 2007-05-23 Hiroaki Katsuragi , Daisuke Sugino , Haruo Honjo

A simple random-neighbor SOC model that combines properties of the Bak-Sneppen and the relaxation oscillators (slip-stick) models is introduced. The analysis in terms of branching processes is transparent and gives insight about the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Osame Kinouchi

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase…

Probability · Mathematics 2025-08-15 Quentin Berger , Hubert Lacoin

The power spectral density of an observable quantifies the amount of fluctuations at a given frequency and can reveal the influence of different timescales on the observable's dynamics. Here, we show that the spectral density in a…

Statistical Mechanics · Physics 2023-06-02 Andreas Dechant

We apply the finite size scaling technique to quantify the statistical properties of fluctuations in AU, AL and AE indices and in the epsilon parameter that represents energy input from the solar wind into the magnetosphere. We find that…

Space Physics · Physics 2015-06-26 B. Hnat , S. C. Chapman , G. Rowlands , N. W. Watkins , M. P. Freeman

Patients with breast cancer tend to die from other diseases, so for studies that focus on breast cancer, a competing risks model is more appropriate. Considering subdistribution hazard ratio, which is used often, limited to model…

Methodology · Statistics 2023-11-21 Zhiyin Yu , Zhaojin Li , Chengfeng Zhang , Yawen Hou , Derun Zhou , Zheng Chen

Scaling laws in ecology, intended both as functional relationships among ecologically-relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and…

Populations and Evolution · Quantitative Biology 2017-10-19 Silvia Zaoli , Andrea Giometto , Amos Maritan , Andrea Rinaldo

The Bak-Sneppen model is shown to fall into a different universality class with the introduction of a preferred direction, mirroring the situation in spin systems. This is first demonstrated by numerical simulations and subsequently…

Statistical Mechanics · Physics 2009-10-31 D. A. Head , G. J. Rodgers

Collective behaviour in biological systems is often accompanied by strong correlations. The question has therefore arisen of whether correlation is amplified by the vicinity to some critical point in the parameters space. Biological…

Statistical Mechanics · Physics 2014-12-23 A. Attanasi , A. Cavagna , L. Del Castello , I. Giardina , S. Melillo , L. Parisi , O. Pohl , B. Rossaro , E. Shen , E. Silvestri , M. Viale

Increasing the number $N$ of elements of a system typically makes the entropy to increase. The question arises on {\it what particular entropic form} we have in mind and {\it how it increases} with $N$. Thermodynamically speaking it makes…

Statistical Mechanics · Physics 2009-11-11 Constantino Tsallis

This paper studies alpha testing in a high-dimensional conditional time-varying factor model with temporally dependent observations. Both factor loadings and alpha processes are allowed to vary smoothly over time, and the cross-sectional…

Methodology · Statistics 2026-04-16 Long Feng , Huifang Ma , Zhaojun Wang

In this work we study the consequences of a longitudinal Bjorken expansion and a Hubble-like temperature cooling scenario on a 1+1D non-linear model of the diffusive dynamics of fluctuations in the net-baryon density. The equilibrium…

Nuclear Theory · Physics 2023-02-01 Grégoire Pihan , Marcus Bluhm , Masakiyo Kitazawa , Taklit Sami , Marlene Nahrgang

The train model which is a variant of the Burridge-Knopoff earthquake model is investigated for a velocity-strengthening friction law. It shows self-organized criticality with complex scaling exponents. That is, the probability density…

adap-org · Physics 2009-10-30 Franz-Josef Elmer

The spectral form factor is a dynamical probe for level statistics of quantum systems. The early-time behaviour is commonly interpreted as a characterization of two-point correlations at large separation. We argue that this interpretation…

Disordered Systems and Neural Networks · Physics 2025-10-07 Wouter Buijsman , Vadim Cheianov , Vladimir Gritsev

The global energy fluctuations of a low density gas granular gas in the homogeneous cooling state near its clustering instability are studied by means of molecular dynamics simulations. The relative dispersion of the fluctuations is shown…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. I. Garcia de Soria , P. Maynar , M. J. Ruiz-Montero

To study the kinetics of phase separation in active matter systems, we consider models that impose a Vicsek-type self-propulsion rule on otherwise passive particles interacting via the Lennard-Jones potential. Two types of kinetics are of…

Statistical Mechanics · Physics 2023-10-31 Tanay Paul , Nalina Vadakkayil , Subir K. Das

The free energetics of water density fluctuations in bulk water, at interfaces, and in hydrophobic confinement inform the hydration of hydrophobic solutes as well as their interactions and assembly. The characterization of such free…

Statistical Mechanics · Physics 2018-03-15 Erte Xi , Sean M. Marks , Suruchi Fialoke , Amish J. Patel

We show how, based on considerations on the observed form of the galaxy 2-point spatial correlation function xi(r), a very simplified -- yet surprisingly effective -- model for the linear density fluctuations power spectrum can be…

Astrophysics · Physics 2009-10-22 Enzo Branchini , Luigi Guzzo , Riccardo Valdarnini

This study reports a general scenario for the out-of-equilibrium features of collapsing polymeric architectures. We use molecular dynamics simulations to characterize the coarsening kinetics, in bad solvent, for several macromolecular…

Soft Condensed Matter · Physics 2019-12-10 Mariarita Paciolla , Daniel J. Arismendi-Arrieta , Angel J. Moreno

We study spectral densities for systems on lattices, which, at a phase transition display, power-law spatial correlations. Constructing the spatial correlation matrix we prove that its eigenvalue density shows a power law that can be…

Mathematical Physics · Physics 2014-11-24 Vinayak , T. Prosen , B. Buca , T. H. Seligman