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Reaction equations of homogeneously mixed pollutants in the atmosphere can lead to non-stationary periodic solutions. It is important to know in which respect these solutions are modified under the influence of the atmospheric currents. We…

Fluid Dynamics · Physics 2007-05-23 H. Lustfeld , Z. Neufeld

We consider heat transfer in one-dimensional systems with long-range interactions. It is known that typical short-range interacting systems shows anomalous behavior in heat transport when total momentum is conserved, whereas…

Statistical Mechanics · Physics 2020-05-04 Shuji Tamaki , Keiji Saito

We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general…

High Energy Physics - Theory · Physics 2013-10-09 Shira Chapman , Yasha Neiman , Yaron Oz

The accumulation of self-propelled particles on repulsive barriers is a widely observed feature in active matter. Despite being implicated in a broad range of biological processes, from biofilm formation to cytoskeletal movement, wetting of…

Statistical Mechanics · Physics 2025-12-12 Noah Grodzinski , Michael E. Cates , Robert L. Jack

It is shown that when the initial particles probability density is discontinuous the emerging currents appear instantaneously, and although the density beyond the discontinuity is initially negligible the currents there have a finite value.…

Quantum Physics · Physics 2010-11-18 Er'el Granot , Avi Marchewka

Wave-packet interference is investigated within the complex quantum Hamilton-Jacobi formalism using a hydrodynamic description. Quantum interference leads to the formation of the topological structure of quantum caves in space-time Argand…

Quantum Physics · Physics 2010-03-03 C. -C. Chou , A. S. Sanz , S. Miret-Artes , R. E. Wyatt

A recently introduced stochastic model for fluid flow can be made Galilean invariant by introducing a random shift of the computational grid before collisions. This grid shifting procedure accelerates momentum transfer between cells and…

Soft Condensed Matter · Physics 2009-11-10 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

Generalized hydrodynamics (GHD) is a large-scale theory for the dynamics of many-body integrable systems. It consists of an infinite set of conservation laws for quasi-particles traveling with effective ("dressed") velocities that depend on…

Statistical Mechanics · Physics 2018-01-19 Benjamin Doyon , Herbert Spohn , Takato Yoshimura

The JHU turbulence database [1] can be used with a state of the art visualisation tool [2] to generate high quality fluid dynamics videos. In this work we investigate the classical idea that smaller structures in turbulent flows, while…

We investigate a two-dimensional system of interacting Active Brownian Particles. Using the Martin-Siggia-Rose-Janssen-de Dominicis formalism, we built up the generating functional for correlation functions. We study in detail the…

Statistical Mechanics · Physics 2024-04-26 Nathan O. Silvano , Daniel G. Barci

We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result,…

Statistical Mechanics · Physics 2009-11-11 Eric Bertin , Michel Droz , Guillaume Gregoire

Complex fluids in shear flow and biased dynamics in crowded environments exhibit counterintuitive features which are difficult to address both at theoretical level and by molecular dynamic simulations. To understand some of these features…

Soft Condensed Matter · Physics 2012-09-19 Francesco Turci , Estelle Pitard , Mauro Sellitto

We establish a mathematically rigorous, general and quantitative framework to describe currents of non- (or weakly) interacting, indistinguishable particles driven far from equilibrium. We derive tight upper and lower bounds for the…

Quantum Physics · Physics 2017-03-03 Mattia Walschaers , Andreas Buchleitner , Mark Fannes

In recent work [1] we uncovered intriguing connections between Otto's characterisation of diffusion as entropic gradient flow [16] on one hand and large-deviation principles describing the microscopic picture (Brownian motion) on the other.…

Analysis of PDEs · Mathematics 2014-03-05 Stefan Adams , Nicolas Dirr , Mark A. Peletier , Johannes Zimmer

This article serves to concisely review the link between gradient flow systems on hypergraphs and information geometry which has been established within the last five years. Gradient flow systems describe a wealth of physical phenomena and…

Statistical Mechanics · Physics 2025-11-03 Dimitri Loutchko , Keisuke Sugie , Tetsuya J Kobayashi

A simultaneous variational principle is introduced that offers a novel avenue to the description of the equilibrium configurations, and at the same time of the elementary excitations, or undulations, of fluid lipid membranes, described by a…

Fluid Dynamics · Physics 2018-01-10 Riccardo Capovilla

The concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. While in glasses instantaneous configurations correspond to minima of the potential-energy hypersurface and all…

Disordered Systems and Neural Networks · Physics 2023-02-07 Stefano Mossa , Taras Bryk , Giancarlo Ruocco , Walter Schirmacher

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

The nonlinear coupling between spacetime geometry and matter in the early Universe remains a frontier in theoretical cosmology. By introducing a novel gravitomagnetic-hydrodynamic framework, we reveal a fundamental analogy between…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Jiaxiang Liang , Peng Xu , Minghui Du , Yifu Cheng , Zhan Wang , Ziren Luo , Manjia Liang

The formation of dynamical patterns is one of the most striking features of nonequilibrium physical systems. Recent work has shown that such patterns arise generically from forces that violate Newton's third law, known as nonreciprocal…

Statistical Mechanics · Physics 2025-08-26 James Mason , Robert L. Jack , Maria Bruna