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Kinetic and hydrodynamic theories are widely employed for describing the collective behaviour of active matter systems. At the fluctuating level, these have been obtained from explicit coarse-graining procedures in the limit where each…

Statistical Mechanics · Physics 2022-12-14 Ouassim Feliachi , Marc Besse , Cesare Nardini , Julien Barré

We introduce fluctuating hydrodynamics approaches on surfaces for capturing the drift-diffusion dynamics of particles and microstructures immersed within curved fluid interfaces of spherical shape. We take into account the interfacial…

Soft Condensed Matter · Physics 2023-10-24 David Rower , Misha Padidar , Paul J. Atzberger

We use molecular dynamics simulations to study the evaporation of particle-laden droplets on a heated surface. The droplets are composed of a Lennard-Jones fluid containing rigid particles which are spherical sections of an atomic lattice,…

Soft Condensed Matter · Physics 2015-06-04 Weikang Chen , Joel Koplik , Ilona Kretzschmar

We present a mechanistic model for a Newtonian fluid called fluid particle dynamics. By analyzing the concept of ``fluid particle'' from the point of view of a Voronoi tessellation of a molecular fluid, we propose an heuristic derivation of…

Statistical Mechanics · Physics 2009-10-30 Pep Español

We present approaches for the study of fluid-structure interactions subject to thermal fluctuations. A mixed mechanical description is utilized combining Eulerian and Lagrangian reference frames. We establish general conditions for…

Soft Condensed Matter · Physics 2023-02-28 Paul J. Atzberger

At mesoscopic scales electrolyte solutions are modeled by the fluctuating generalized Poisson-Nernst-Planck (PNP) equations [J.-P. P\'eraud et al., Phys. Rev. F, 1(7):074103, 2016]. However, at length and time scales larger than the Debye…

Computational Physics · Physics 2019-04-10 Aleksandar Donev , Andrew J. Nonaka , Changho Kim , Alejandro L. Garcia , John B. Bell

Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse…

Statistical Mechanics · Physics 2009-10-31 Herbert Spohn

Specific molecular interactions underlie unexpected and useful phenomena in nanofluidic systems, but require descriptions that go beyond traditional macroscopic hydrodynamics. In this letter, we demonstrate how equilibrium molecular…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Phillip Helms , Anthony R. Poggioli , David T. Limmer

[Background] Experimental data from heavy-ion experiments at RHIC-BNL and LHC-CERN are quantitatively described using relativistic fluid dynamics. Even p+A and p+p collisions show signs of collective behavior describable in the same manner.…

Nuclear Theory · Physics 2018-08-29 K. Gallmeister , H. Niemi , C. Greiner , D. H. Rischke

We introduce a family of stochastic models motivated by the study of nonequilibrium steady states of fluid equations. These models decompose the deterministic dynamics of interest into fundamental building blocks, i.e., minimal vector…

Probability · Mathematics 2025-05-07 Andrea Agazzi , Jonathan C. Mattingly , Omar Melikechi

This work studies the hydrodynamics of self-gravitating compressible isothermal fluids. We show that the hydrodynamic evolution equations in absence of viscosity are scale covariant. We study the evolution of the time dependent fluctuations…

Astrophysics · Physics 2009-10-31 B. Semelin , N. Sanchez , H. J. de Vega

The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

Nuclear Theory · Physics 2020-11-25 Marlene Nahrgang , Marcus Bluhm

In microscopic mechanical systems interactions between elastic structures are often mediated by the hydrodynamics of a solvent fluid. At microscopic scales the elastic structures are also subject to thermal fluctuations. Stochastic…

Soft Condensed Matter · Physics 2023-02-28 Paul J. Atzberger

We develop a causal hydrodynamic model that provides an effective macroscopic description of the field-theoretic dynamics during the early stages of reheating. The inflaton condensate is treated as a homogeneous background coupled to a…

High Energy Physics - Phenomenology · Physics 2026-01-14 Juan Pablo Elía , Lucas Cantarutti , Nahuel Mirón-Granese , Esteban Calzetta

In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational advances in individual components of future solvers. At the…

Complex fluids exhibit structure on a wide range of length and time scales, and hierarchical approaches are necessary to investigate all facets of their often unusual properties. The study of idealized coarse-grained models at different…

Soft Condensed Matter · Physics 2008-10-23 Friederike Schmid

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective…

High Energy Physics - Theory · Physics 2015-06-05 Pavel Kovtun

Hydro-kinetic theory of thermal fluctuations is applied to a non-conformal relativistic fluid. Solving the hydro-kinetic equations for an isotropically expanding background we find that hydrodynamic fluctuations give ultraviolet divergent…

Nuclear Theory · Physics 2018-08-21 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

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 mathematical model is developed, to jointly analyze elastic and inelastic scattering data of fluctuating membranes within a single theoretical framework. The model builds on a non-homogeneously clipped time-dependent Gaussian random…

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