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In the context of the search for the QCD critical point using non-Gaussian fluctuations, we obtain the evolution equations for non-Gaussian cumulants to the leading order of the systematic expansion in the magnitude of thermal fluctuations.…

High Energy Physics - Theory · Physics 2021-09-13 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

Experimental measurements of properties of the large-scale circulation (LSC) in turbulent convection of a fluid heated from below in a cylindrical container of aspect ratio one are presented and used to test a model of diffusion in a…

Fluid Dynamics · Physics 2009-11-13 Eric Brown , Guenter Ahlers

A phenomenological model for the dissipation of scalar fluctuations due to the straining by the fluid motion is proposed in this letter. An explicit equation is obtained for the time evolution of the probability distribution function of a…

Fluid Dynamics · Physics 2015-06-26 Antoine Venaille , Joel Sommeria

We report here some intriguing properties of fingering double diffusive convection turbulence, i.e. convection flow driven simultaneously by an unstable salinity gradient and a stable temperature gradient. Multiple equilibria can be…

Fluid Dynamics · Physics 2019-04-23 Yantao Yang , Roberto Verzicco , Detlef Lohse

We consider non-equilibrium evolution of non-Gaussian fluctuations within relativistic hydrodynamics relevant for the QCD critical point search in heavy-ion collision experiments. We rely on the hierarchy of relaxation time scales, which…

High Energy Physics - Theory · Physics 2023-09-27 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

A nonsingular bouncing cosmology in which the scales of interest today exit the Hubble radius in a matter-dominated contracting phase yields an alternative to inflation for producing a scale-invariant spectrum of adiabatic cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2009-05-21 Yi-Fu Cai , Wei Xue , Robert Brandenberger , Xinmin Zhang

Propagation of elastic waves along the axis of cylindrical shells is of great current interest due to their ubiquitous presence and technological importance. Geometric imperfections and spatial variations of properties are inevitable in…

Classical Physics · Physics 2022-11-07 Kevin Jose , Neil Ferguson , Atul Bhaskar

Different scaling behavior has been reported in various shell models proposed for turbulent thermal convection. In this paper, we show that buoyancy is not always relevant to the statistical properties of these shell models even though…

Chaotic Dynamics · Physics 2009-11-13 Emily S. C. Ching , H. Guo , W. C. Cheng

Fingering double diffusive convection with real seawater properties is studied by two-dimensional direct numerical simulations for the wall-bounded domain and compared with the results for fully periodic domain. For fixed unstable salinity…

Fluid Dynamics · Physics 2022-10-20 Junyi Li , Yantao Yang

A modelling methodology to reproduce the experimental measurements of a turbulent flow under the presence of symmetry is presented. The flow is a three-dimensional wake generated by an axisymmetric body. We show that the dynamics of the…

Fluid Dynamics · Physics 2023-07-19 G. Rigas , A. S. Morgans , R. D. Brackston , J. F. Morrison

Sphaleron heating has been recently proposed as a mechanism to realize warm inflation when inflaton is an axion coupled to pure Yang-Mills. As a result of heating, there is a friction coefficient $\gamma \propto T^3$ in the equation of…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-28 Mehrdad Mirbabayi , Andrei Gruzinov

An exact relation is derived between scalar dissipation due to molecular diffusivity and the randomness of stochastic Lagrangian trajectories for flows without bounding walls. This "Lagrangian fluctuation-dissipation relation" equates the…

Fluid Dynamics · Physics 2017-10-13 Theodore D. Drivas , Gregory L. Eyink

We present results of the numerical simulations and the scaling characteristics of one-dimensional random fluctuations with heavy tailed probability distribution functions. Assuming that the distribution function of the random fluctuations…

Statistical Mechanics · Physics 2017-08-16 Mohsen Ghasemi Nezhadhaghighi

Skewness and non-Gaussian behavior are essential features of the distribution of short-scale velocity increments in isotropic turbulent flows. Yet, although the skewness has been generally linked to time-reversal symmetry breaking and…

In this work, we present a model-independent method to quantify the non-Gaussian fluctuations in the observable distributions, which are assessed by the difference between the measured observable distributions and reconstructed observable…

Nuclear Theory · Physics 2025-04-01 Xinyu Wang , Xiang Chen , Junping Yang , Ying Cui , Zhuxia Li , Kai Zhao , Yingxun Zhang

According to the classical theory of Brownian motion, the mean squared displacement of diffusing particles evolves linearly with time whereas the distribution of their displacements is Gaussian. However, recent experiments on mesoscopic…

Soft Condensed Matter · Physics 2021-08-24 J. M. Miotto , S. Pigolotti , A. V. Chechkin , S. Roldán-Vargas

We address the problem of measuring time-properties of Response Functions (Green functions) in Gaussian models (Orszag-McLaughin) and strongly non-Gaussian models (shell models for turbulence). We introduce the concept of {\it halving time…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , I. Daumont , G. Lacorata , A. Vulpiani

We consider a system of $N$ disordered mean-field interacting diffusions within spatial constraints: each particle $\theta_i$ is attached to one site $x_i$ of a periodic lattice and the interaction between particles $\theta_i$ and…

Probability · Mathematics 2020-01-16 Eric Luçon , Wilhelm Stannat

Many statistics available to constrain non-Gaussianity from inflation are simplest to use under the assumption that the curvature correlation functions are hierarchical. That is, if the n-point function is proportional to the (n-1) power of…

Astrophysics · Physics 2010-04-30 Sarah Shandera

In this dissertation two-dimensional buoyancy-driven flows are investigated. While usually the Navier-Stokes equations are equipped with no-slip boundary conditions here we focus on the Navier-slip conditions that, depending on the system…

Analysis of PDEs · Mathematics 2024-09-25 Fabian Bleitner