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A globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center…

统计力学 · 物理学 2009-11-11 S. S. Manna , K. Bhattacharya

With the highly anticipated results from the Beam Energy Scan II program at RHIC being recently revealed, an understanding of particle-number fluctuations and their significance as a potential signature of a possible QCD critical point is…

Using computer simulations of an atomistic glass-forming liquid, we investigate the fluctuations of the overlap between a fluid configuration and a quenched reference system. We find that large fluctuations of the overlap develop as…

统计力学 · 物理学 2015-05-29 Ludovic Berthier , Robert L. Jack

We review the use of superconductors as a playground for the experimental study of front roughening and avalanches. Using the magneto-optical technique, the spatial distribution of the vortex density in the sample is monitored as a function…

统计力学 · 物理学 2009-11-11 Rinke J. Wijngaarden , Marco S. Welling , Christof M. Aegerter , Mariela Menghini

We study the statistics, in stationary conditions, of the work $W_\tau$ done by the active force in different systems of self-propelled particles in a time $\tau$. We show the existence of a critical value $W_\tau ^\dag$ such that…

统计力学 · 物理学 2017-10-17 Francesco Cagnetta , Federico Corberi , Giuseppe Gonnella , Antonio Suma

We study dynamic heterogeneities in the out-of-equilibrium coarsening dynamics of the spherical ferromagnet after a quench from infinite temperature to its critical point. A standard way of probing such heterogeneities is by monitoring the…

无序系统与神经网络 · 物理学 2009-02-27 Alessia Annibale , Peter Sollich

The presence of self-organized criticality in biology is often evidenced by a power-law scaling of event size distributions, which can be measured by linear regression on logarithmic axes. We show here that such a procedure does not…

适应与自组织系统 · 物理学 2015-05-14 Jonathan Touboul , Alain Destexhe

We introduce and study a discrete random model for Smoluchowski's equation with limited aggregations. The latter is a model of coagulation introduced by Bertoin which may exhibit gelation. In our model, a large number of particles are…

概率论 · 数学 2015-09-04 Mathieu Merle , Raoul Normand

We consider the asymptotic behavior of the fluctuations for the empirical measures of interacting particle systems with singular kernels. We prove that the sequence of fluctuation processes converges in distribution to a generalized…

概率论 · 数学 2024-12-31 Zhenfu Wang , Xianliang Zhao , Rongchan Zhu

Spectral statistics and correlations are the usual way to study the presence or absence of quantum chaos in quantum systems. We present our investigation on the study of the fluctuation average and variance of certain correlation functions…

量子物理 · 物理学 2025-02-11 Tanay Pathak

We build and study a multidimensional version of the Curie-Weiss model of self-organized criticality we have designed in arXiv:1301.6911. For symmetric distributions satisfying some integrability condition, we prove that the sum $S_n$ of…

概率论 · 数学 2015-10-28 Matthias Gorny

A finite quantum system evolving unitarily equilibrates in a probabilistic fashion. In the general many-body setting the time-fluctuations of an observable \mathcal{A} are typically exponentially small in the system size. We consider here…

统计力学 · 物理学 2013-01-22 Lorenzo Campos Venuti , Paolo Zanardi

We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\sim|x|^{\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion. Based on…

统计力学 · 物理学 2014-12-24 Andrey G. Cherstvy , Ralf Metzler

Financial markets are highly non-linear and non-equilibrium systems. Earlier works have suggested that the behavior of market returns can be well described within the framework of non-extensive Tsallis statistics or superstatistics. For…

统计金融 · 定量金融 2021-06-30 Sandhya Devi

Atmospheric flows exhibit selfsimilar fluctuations on all scales(space-time) ranging from climate(kilometers/years) to turbulence(millimeters/seconds) manifested as fractal geometry to the global cloud cover pattern concomitant with inverse…

chao-dyn · 物理学 2007-05-23 A. Mary Selvam

Motivated by the experimental search for the QCD critical point we perform simulations of a stochastic field theory with purely relaxational dynamics (model A). We verify the expected dynamic scaling of correlation functions. Using a finite…

核理论 · 物理学 2022-07-27 Thomas Schaefer , Vladimir Skokov

Statistical fluctuation problems are faced by all quantum key distribution (QKD) protocols under finite-key condition. Most of the current statistical fluctuation analysis methods work based on independent random samples, however, the…

量子物理 · 物理学 2016-01-06 Hongxin Li , Haodong Jiang , Ming Gao , Zhi Ma , Chuangui Ma , Wei Wang

A fluctuating non-ideal fluid at its critical point is simulated with the Lattice Boltzmann method. It is demonstrated that the method, employing a Ginzburg-Landau free energy functional, correctly reproduces the static critical behavior…

计算物理 · 物理学 2012-07-03 M. Gross , F. Varnik

We analyze the dynamics of a Brownian gas in contact with a heat bath in which large temperature fluctuations occur. There are two distinct time scales present, one describes the decay of the fluctuations in the temperature and the other…

统计力学 · 物理学 2009-11-11 I. Santamaria-Holek , R. F. Rodriguez

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

统计力学 · 物理学 2009-10-31 S. Dumitru , A. Boer