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The statistical properties of species undergoing chemical reactions in a turbulent environment are studied. We focus on the case of reversible multi-component reactions of second and higher orders, in a condition close to chemical…

Fluid Dynamics · Physics 2020-08-25 Wenwei Wu , Enrico Calzavarini , François G. Schmitt , Lipo Wang

In the prototype sandpile model of self-organized criticality time series obtained by decomposing avalanches into waves of toppling show intermittent fluctuations. The q-th moments of wave size differences possess local multiscaling and…

Statistical Mechanics · Physics 2009-11-07 Mario De Menech , Attilio L. Stella

The Taylor-Reynolds and Reynolds number ($Re_\lambda$ and $Re$) dependence of the dimensionless energy dissipation rate $\ceps =\eps L / \u1rms^3$ is derived for statistically stationary isotropic turbulence, employing the results of a…

chao-dyn · Physics 2009-10-22 Detlef Lohse

We develop a dynamical system approach for the Zhang's model of Self-Organized Criticality, for which the dynamics can be described either in terms of Iterated Function Systems, or as a piecewise hyperbolic dynamical system of skew-product…

Statistical Mechanics · Physics 2007-05-23 Ph. Blanchard , B. Cessac , T. Krueger

The shape of clouds has proven to be essential for classifying them. Our analysis of images from fair weather cumulus clouds reveals that, besides by turbulence they are driven by self-organized criticality (SOC). Our observations yield…

Statistical Mechanics · Physics 2021-05-12 M. N. Najafi , J. Cheraghalizadeh , H. J. Herrmann

We study the time evolution of Solar Flares activity by looking at the statistics of quiescent times $\tau_{L}$ between successive bursts. The analysis of 20 years of data reveals a power law distribution with exponent $\alpha \simeq 2.4$…

Avalanches with power-law distributed size parameters have been observed in neuronal networks. This observation might be a manifestation of the self-organized criticality (SOC). Yet, the physiological mechanicsm of this behavior is…

Neurons and Cognition · Quantitative Biology 2017-05-24 Koray Çiftçi

Turbulent flows are observed in low-Reynolds active fluids. They are intrinsically different from the classical inertial turbulence and behave distinctively in two- and three-dimensions. Understanding the behaviors of this new type of…

Soft Condensed Matter · Physics 2023-08-01 Da Wei , Yaochen Yang , Xuefeng Wei , Ramin Golestanian , Ming Li , Fanlong Meng , Yi Peng

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

Statistical Mechanics · Physics 2026-04-20 Raphael Blumenfeld

Two-component sandpile models are investigated numerically and theoretically. Monte Calro simulations are performed to show that probability distribution functions of avalanche size and lifetime obey power laws whose exponents are…

Statistical Mechanics · Physics 2007-05-23 Akihiro Fujihara , Toshiya Ohtsuki , Teruhiro Nakagawa

We consider linear feedback flow control of the largest scales in an incompressible turbulent channel flow at a friction Reynolds number of Re$_{\tau}$ = 2000. A linear model is formed by linearizing the Navier-Stokes equations about the…

Fluid Dynamics · Physics 2020-10-20 Stephan F. Oehler , Simon J. Illingworth

Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

We report some numerical simulations to investigate the existence of a self-organized critical (SOC) state in a random-neighbor version of the OFC model for a range of parameters corresponding to a non-conservative case. In contrast to a…

adap-org · Physics 2015-06-24 S. T. R. Pinho , C. P. C. Prado , O. Kinouchi

Taylor-Couette (TC) flow is used to probe the hydrodynamical stability of astrophysical accretion disks. Experimental data on the subcritical stability of TC are in conflict about the existence of turbulence (cf. Ji et al. Nature, 444,…

Fluid Dynamics · Physics 2017-04-21 Rodolfo Ostilla Mónico , Roberto Verzicco , Siegfried Grossmann , Detlef Lohse

Previous work has established the usefulness of the resolvent operator that maps the terms nonlinear in the turbulent fluctuations to the fluctuations themselves. Further work has described the self-similarity of the resolvent arising from…

Fluid Dynamics · Physics 2017-04-12 A S Sharma , R Moarref , B J McKeon

Self-organizing system is studied whose behavior is governed by field of an order parameter, a fluctuation amplitude of conjugate field and a couple of Grassmannian conjugated fields that define the entropy as a control parameter. Within…

Statistical Mechanics · Physics 2007-05-23 Alexander I. Olemskoi , Alexei V. Khomenko

The avalanche properties of models that exhibit 'self-organized criticality' (SOC) are still mostly awaiting theoretical explanations. A recent mapping (Europhys. Lett.~53, 569) of many sandpile models to interface depinning is presented…

Statistical Mechanics · Physics 2009-11-07 Mikko Alava

We study the Bak-Sneppen model in the probabilistic framework of the Run Time Statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for the whole class of models showing Self-Organized Criticality.…

Statistical Mechanics · Physics 2009-11-07 M. Felici , G. Caldarelli , A. Gabrielli , L. Pietronero

As the Reynolds number is increased, a laminar fluid flow becomes turbulent, and the range of time and length scales associated with the flow increases. Yet, in a turbulent reactive flow system, as we increase the Reynolds number, we…

Fluid Dynamics · Physics 2024-07-02 Sivakumar Sudarsanan , Amitesh Roy , Induja Pavithran , Shruti Tandon , R. I. Sujith

We study the transition from laminar flow to fully developed turbulence for an inertially-driven von Karman flow between two counter-rotating large impellers fitted with curved blades over a wide range of Reynolds number (100 - 1 000 000).…

Fluid Dynamics · Physics 2008-03-17 Florent Ravelet , Arnaud Chiffaudel , Francois Daviaud
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