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Conserved dynamical systems are generally considered to be critical. We study a class of critical routing models, equivalent to random maps, which can be solved rigorously in the thermodynamic limit. The information flow is conserved for…

适应与自组织系统 · 物理学 2013-01-10 Dimitrije Markovic , Andre Schuelein , Claudius Gros

Stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied. The discretized time interval is introduced as a bifurcation…

混沌动力学 · 物理学 2023-04-19 Shousuke Ohmori , Yoshihiro Yamazaki

Estimates of uncertainty or variance in experimental means are central to physics. This is especially the case for `world averages' of fundamental physical parameters in particle physics, which aggregate results from a number of experiments…

高能物理 - 实验 · 物理学 2023-10-13 Fintan Costello , Paul Watts

Inspired by previous works on human dynamics, we collect the temporal statistics of the article creation by three Western scientists and an Eastern writer. We investigate the distributions of the time intervals between the creations of…

物理与社会 · 物理学 2012-04-02 Na Li , Han Yan , Wen-Yao Zhang , Yu-Jian Li , Zhen-Dong Xi , Bing-Hong Wang

Complete positivity is a ubiquitous assumption in the study of quantum systems interacting with the environment, despite repeated efforts to point out that the assumption is not empirically justified. It will be shown that Hamiltonian…

量子物理 · 物理学 2013-09-12 James M. McCracken

The purpose of this note is to point out analogies between causal analysis in statistics and the correlation-response theory in statistical physics. It is further shown that for some systems the dynamic cavity offers a way to compute the…

统计力学 · 物理学 2016-04-27 Erik Aurell , Gino Del Ferraro

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

物理与社会 · 物理学 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

We study the connection between multi-fractality and crucial events. Multi-fractality is frequently used as a measure of physiological variability. Crucial events are known to play a fundamental role in the transport of information between…

适应与自组织系统 · 物理学 2018-01-03 Gyanendra Bohara , David Lambert , Bruce J. West , Paolo Grigolini

Over the last decade new technologies for making large numbers of fine-grained measurements have led to the surprising discovery that many biological systems sit near a critical point. These systems are potentially more adaptive in that…

物理与社会 · 物理学 2017-03-08 Bryan C. Daniels , David C. Krakauer , Jessica C. Flack

Many prominent lines of research on student's reasoning and conceptual change within learning sciences and physics education research have not attended to the role of learners' affect or emotions in the dynamics of their conceptual…

物理教育 · 物理学 2013-07-05 Ayush Gupta , Brian A. Danielak , Andrew Elby

We derive an integration by parts formula for functionals of determinantal processes on compact sets, completing the arguments of [4]. This is used to show the existence of a configuration-valued diffusion process which is non-colliding and…

Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to $L/\sigma=34$ and sampling of $\sim 10^9$ trial moves…

统计力学 · 物理学 2009-11-07 J. -M. Caillol , D. Levesque , J. -J. Weis

We develop a reduced model for the slow unsteady dynamics of an isotropic chemically active particle near the threshold for spontaneous motion. Building on the steady theory developed in part I of this series, we match a weakly nonlinear…

软凝聚态物质 · 物理学 2023-02-24 Gunnar G. Peng , Ory Schnitzer

In the recent review article, P.Markos admits that practically all numerical results on the critical behavior near the Anderson transition are in conflict with analytical expectations, but no serious discussion of this fact is given. The…

无序系统与神经网络 · 物理学 2007-05-23 I. M. Suslov

A popular theory of self-organized criticality relates the critical behavior of driven dissipative systems to that of systems with conservation. In particular, this theory predicts that the stationary density of the abelian sandpile model…

概率论 · 数学 2010-09-22 Anne Fey , Lionel Levine , David B. Wilson

In this article we revisit the significance of the often debated structural similarity between the equations of electromagnetism and fluid dynamics. Although the matching of the two sets of equations has successfully been done for…

流体动力学 · 物理学 2016-03-01 Bob Osano , Patrick Adams

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

高能物理 - 唯象学 · 物理学 2008-11-26 T. Koide , G. S. Denicol , Ph. Mota , T. Kodama

The QCD critical point can be found in heavy ion collision experiments via the non-monotonic behavior of many fluctuation observables as a function of the collision energy. The event-by-event fluctuations of various particle multiplicities…

高能物理 - 唯象学 · 物理学 2011-03-23 Christiana Athanasiou , Krishna Rajagopal , Misha Stephanov

We identify a positivity property for partition functions in quantum systems with a unitary symmetry group, and we call this "twist positivity." The existence of Feynman-Kac measures and the existence of zero-mass limits are both related to…

数学物理 · 物理学 2009-10-31 Arthur Jaffe

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

物理与社会 · 物理学 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria