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I present empirical evidence that turbulent flows are closely analogous to critical phenomena, from a reanalysis of friction factor measurements in rough pipes. The data collapse found here corresponds to Widom scaling near critical points,…

Statistical Mechanics · Physics 2009-11-11 Nigel Goldenfeld

Critical phenomena arise ubiquitously in various context of physics, from condensed matter, high energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point.…

Statistical Mechanics · Physics 2020-07-15 Ryo Hanai , Peter B. Littlewood

Hydrodynamic fluctuations have been studied in a wide variety of physical, chemical, and biological phenomena in the past decade. In high energy heavy ion collisions, there will be intrinsic fluctuations even if the initial conditions are…

Nuclear Theory · Physics 2013-06-18 Joseph I. Kapusta , Juan M. Torres-Rincon

The last few years have seen tremendous progress in our understanding of cataclysmic variable stars. As a result, we are finally developing a much clearer picture of their evolution as binary systems, the physics of the accretion processes…

Solar and Stellar Astrophysics · Physics 2015-03-17 Christian Knigge

We present a phenomenological description of the critical slowing down associated with period-doubling bifurcations in discrete dynamical systems. Starting from a local Taylor expansion around the fixed point and the bifurcation parameter,…

Chaotic Dynamics · Physics 2026-02-05 Edson D. Leonel , João P. C. Ferreira , Diego F. M. Oliveira

The signals theoretically predicted for the occurrence of a critical behavior (conditional moments of charge distributions, Campi scatter plot, fluctuations of the size of the largest fragment, power law in the charge distribution,…

We argue that the word ``critical'' in the title is not purely literary. Based on our and other previous work on nonlinear complex dynamical systems, we summarize present evidence, on the Oct. 1929, Oct. 1987, Oct. 1987 Hong-Kong, Aug. 1998…

Statistical Mechanics · Physics 2008-12-02 Anders Johansen , Didier Sornette

It is shown that unconventional critical phenomena commonly observed in paramagnetic metals YbRh2Si2, YbRh2(Si0.95Ge0.05)2, and beta-YbAlB4 is naturally explained by the quantum criticality of Yb-valence fluctuations. We construct the mode…

Strongly Correlated Electrons · Physics 2010-11-02 Shinji Watanabe , Kazumasa Miyake

The classical experiments on turbulent friction in rough pipes were performed by J. Nikuradse in the 1930's. Seventy years later, they continue to defy theory. Here we model Nikuradse's experiments using the phenomenological theory of…

Fluid Dynamics · Physics 2009-11-11 G. Gioia , Pinaki Chakraborty

We study some of the salient features of the arrival statistics and exploration properties of mortal random walkers, that is, walkers that may die as they move, or as they wait to move. Such evanescence or death events have profound…

Statistical Mechanics · Physics 2016-11-26 Santos B. Yuste , E. Abad , Katja Lindenberg

Light is shown to exhibit critical and tricritical behavior in passive mode-locked lasers with externally injected pulses. It is a first and unique example of critical phenomena in a one-dimensional many body light-mode system. The phase…

Statistical Mechanics · Physics 2009-11-11 Rafi Weill , Amir Rosen , Ariel Gordon , Omri Gat , Baruch Fischer

The search for the critical point of QCD in heavy-ion collision experiments has sparked enormous interest with the completion of phase I of the RHIC beam energy scan. Here, I review the basics of the thermodynamics of the QCD phase…

Nuclear Theory · Physics 2016-11-23 Marlene Nahrgang

Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

Statistical Mechanics · Physics 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

This report summarizes the results of the work done in collaboration with K. Rajagopal and E. Shuryak. We analyze the physics behind the event-by-event fluctuations in heavy ion collisions. Using thermodynamic description of the ensemble of…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Stephanov

Continuous phase transitions in equilibrium statistical mechanics were successfully described 50 years ago with the development of the renormalization group framework. This framework was initially developed in the context of phase…

Strongly Correlated Electrons · Physics 2023-07-07 T. Senthil

We consider the influence of quenched spatial disorder on phase transitions in classical and quantum systems. We show that rare strong disorder fluctuations can have dramatic effects on critical points. In classical systems with…

Statistical Mechanics · Physics 2009-11-10 Thomas Vojta , Rastko Sknepnek

We theoretically study divergent fluctuations of dynamical events at non-ergodic transitions. We first focus on the finding that a non-ergodic transition can be described as a saddle connection bifurcation of an order parameter for a time…

Statistical Mechanics · Physics 2015-06-25 Mami Iwata , Shin-ichi Sasa

As we mark the centenary of Albert Einstein's seminal contribution to both quantum mechanics and special relativity, we approach another anniversary--that of Einstein's foundation of the quantum theory of solids. But 100 years on, the same…

Strongly Correlated Electrons · Physics 2007-05-23 P. Coleman , A. J. Schofield

Critical transitions occur in complex dynamical systems, when the system dynamics undergoes a regime shift. These can often occur with little change in the mean amplitude of system response prior to the actual time of transition. The recent…

Solar and Stellar Astrophysics · Physics 2020-09-02 Sandip V. George , Sneha Kachhara , Ranjeev Misra , G. Ambika

A universal approach to decoherence control combined with quantum estimation theory reveals a critical behavior, akin to a phase transition, of the information obtainable by a qubit probe concerning the memory time of environmental…

Quantum Physics · Physics 2016-10-26 Analia Zwick , Gonzalo A. Alvarez , Gershon Kurizki