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Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

High Energy Physics - Theory · Physics 2010-01-22 Paul Romatschke

In an Oberbeck-Boussinesq model, rigorously derived, which includes compressibility, one could expect that the onset of convection for the B\'enard problem occurs at a higher critical Rayleigh number. Since of the difficulties related to…

Analysis of PDEs · Mathematics 2024-08-13 Diego Grandi , Arianna Passerini , Manuela Trullo

We study the dynamics of a two-level atom interacting with a Lorentzian structured reservoir considering initial system-environment correlations. It is shown that under strong system-reservoir coupling the dynamics of purity can determine…

Quantum Physics · Physics 2015-03-19 D. Z. Rossatto , T. Werlang , L. K. Castelano , C. J. Villas-Boas , F. F. Fanchini

A challenge in fundamental physics and especially in thermodynamics is to understand emergent order in far-from-equilibrium systems. While at equilibrium, temperature plays the role of a key thermodynamic variable whose uniformity in space…

Soft Condensed Matter · Physics 2019-07-25 Atanu Chatterjee , Yash Yadati , Nicholas Mears , Germano Iannacchione

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Shin-ichi Sasa

A statistical-mechanical investigation is performed on Rayleigh-B\'enard convection of a dilute classical gas starting from the Boltzmann equation. We first present a microscopic derivation of basic hydrodynamic equations and an expression…

Statistical Mechanics · Physics 2007-05-23 Takafumi Kita

The main objective of this article is part of a research program to link the dynamics of fluid flows with the structure and its transitions in the physical spaces. As a prototype of problem and to demonstrate the main ideas, we study the…

Analysis of PDEs · Mathematics 2010-05-14 Tian Ma , Shouhong Wang

We numerically study the Rayleigh-B\'enard (RB) convection in two-dimensional model emulsions confined between two parallel walls at fixed temperatures. The systems under study are heterogeneous, with finite-size droplets dispersed in a…

A scalar model of wet active matter in the presence of an imposed temperature gradient, or chemical potential gradient, is considered. It is shown that there is a convective instability driven by a (negative) activity parameter. In this…

Soft Condensed Matter · Physics 2019-03-06 T. R. Kirkpatrick , J. K. Bhattacherjee

Thermally driven emulsions arise in a broad range of natural and industrial contexts, yet their fundamental physical understanding remains only partially established. Emulsions exhibit a complex, concentration-dependent rheology, ranging…

Our planet is roughly closed to matter, but open to energy input from the sun. However, to harness this energy, organisms must transform matter from one chemical (redox) state to another. For example, photosynthetic organisms can capture…

Populations and Evolution · Quantitative Biology 2024-03-04 Akshit Goyal , Avi I. Flamholz , Alexander P. Petroff , Arvind Murugan

A recent experiment driving colloids electromagnetically, by B\'erut et al. [2014 Europhys. Lett. 107, 60004], is an ideal paradigm for illustrating a linear response theory for nonequilibrium overdamped systems including hydrodynamic…

Statistical Mechanics · Physics 2016-03-22 Cem Yolcu , Marco Baiesi

Turbulent superstructures, i.e. large-scale flow structures in turbulent flows, play a crucial role in many geo- and astrophysical settings. In turbulent Rayleigh-B\'{e}nard convection, for example, horizontally extended coherent…

Fluid Dynamics · Physics 2020-03-30 Gerrit Green , Dimitar G. Vlaykov , Juan Pedro Mellado , Michael Wilczek

Rayleigh-B\'enard convection, i.e. the flow of a fluid between two parallel plates that is driven by a temperature gradient, is an idealised setup to study thermal convection. Of special interest are the statistics of the turbulent…

Numerous study on natural and man made systems including rotating convection report the phenomena of supercritical and subcritical transitions from one state to another with the variation of relevant control parameters. However, the…

Fluid Dynamics · Physics 2024-04-01 Sutapa Mandal , Snehashish Sarkar , Pinaki Pal

Unlike many physical nonequilibrium systems, in biological systems, the coupling to external energy sources is not a fixed parameter but adaptively controlled by the system itself. We do not have theoretical frameworks that allow for such…

Populations and Evolution · Quantitative Biology 2025-06-30 Ankit Dhanuka , Avi I. Flamholz , Arvind Murugan , Akshit Goyal

Buoyancy-induced (Rayleigh-Benard) convection of a fluid between two horizontal plates is a central paradigm for studying the transition to complex spatiotemporal dynamics in sustained nonequilibrium systems. To improve the analysis of…

Pattern Formation and Solitons · Physics 2007-05-23 M. C. Lai , K. H. Chiam , M. C. Cross , H. S. Greenside

Using direct numerical simulations, we study rotating Rayleigh-B\'enard convection in a cylindrical cell for a broad range of Rayleigh, Ekman, and Prandtl numbers from the onset of wall modes to the geostrophic regime, an extremely…

Fluid Dynamics · Physics 2021-09-14 Robert E. Ecke , Xuan Zhang , Olga Shishkina

In turbulent Rayleigh-B\'enard convection one seeks the relationship between the heat transport, captured by the Nusselt number, and the temperature drop across the convecting layer, captured by Rayleigh number. In experiments, one measures…

Chaotic Dynamics · Physics 2018-05-23 Scott Weady , Sahil Agarwal , Larry Wilen , John Wettlaufer

The corner roll (CR) in the Rayleigh-B\'{e}nard (RB) convection accounts for the behaviors of heat transport and convection flow at the corner. Streamlines of the three-dimensional direct numerical simulations for $10^8<Ra<5\times10^9$ show…

Fluid Dynamics · Physics 2019-10-08 Wen-Feng Zhou , Jun Chen