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Related papers: Microscopic dynamics of thin hard rods

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Electron hydrodynamics arises when momentum-relaxing scattering processes are slow compared to momentum-conserving ones. While the microscopic details necessary to satisfy this condition are material-specific, experimentally accessible…

Materials Science · Physics 2022-04-14 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

We utilize a generalized Irving-Kirkwood procedure to derive the hydrodynamic equations of an active matter suspension with internal structure and driven by internal torque. The internal structure and torque of the active Brownian particles…

Statistical Mechanics · Physics 2017-06-22 Dibyendu Mandal , Katherine Klymko , Kranthi K. Mandadapu

We derive exact equations governing the large-scale dynamics of hard rods, including diffusive effects that go beyond ballistic transport. Diffusive corrections are the first-order terms in the hydrodynamic gradient expansion and we obtain…

Statistical Mechanics · Physics 2026-02-18 Friedrich Hübner , Leonardo Biagetti , Jacopo De Nardis , Benjamin Doyon

A thermodynamic analysis of weakly nonlocal non-relativistic fluids is presented under the assumption that an additional scalar field also contributes to the dynamics. The most general evolution of this field and the constitutive relations…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Mátyás Szücs , Péter Ván

We present a linear response theory that establishes the continuum-mechanical origin of Onsager reciprocity in colloidal motion. By decoupling hydrostatic and hydrodynamic stress, we show that Onsager reciprocal relations emerge from the…

Soft Condensed Matter · Physics 2026-05-05 Jerome Burelbach

Hydrodynamic interactions (HIs), namely solvent mediated long-range interactions between dispersed particles, play a crucial role in the assembly and dynamics of many active systems, from swimming bacteria to swarms of propelling…

The precise description of the motion of anisotropic particles in a flow rests on the understanding of the force and torque acting on them. Here, we study experimentally small, very elongated particles settling in a fluid at small Reynolds…

Fluid Dynamics · Physics 2022-11-29 F. Cabrera , M. Z. Sheikh , B. Mehlig , N. Plihon , M. Bourgoin , A. Pumir , A. Naso

Using the recently developed ``Maximum Entropy'' (or ``least biased'') distribution function to truncate the moment hierarchy arising from kinetic theory, we formulate a far-from-equilibrium macroscopic theory that provides the possibility…

High Energy Physics - Phenomenology · Physics 2023-08-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

We derive exact density functionals for systems of hard rods with first-neighbor interactions of arbitrary shape but limited range on a one-dimensional lattice. The size of all rods is the same integer unit of the lattice constant. The…

Statistical Mechanics · Physics 2013-12-17 Benaoumeur Bakhti , Gerhard Müller , Philipp Maass

This paper is concerned with the dynamics of a binary mixture of rod--like, repulsive colloidal particles driven out of equilibrium by means of a steady shear flow (Couette geometry). To this end we first derive, starting from a microscopic…

Soft Condensed Matter · Physics 2016-05-25 Rodrigo Lugo-Frias , Sabine H. L. Klapp

A study of the transport coefficients of a system of elastic hard disks, based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques…

Statistical Mechanics · Physics 2016-08-16 Ramón García-Rojo , Stefan Luding , J. Javier Brey

The problem of continuum percolation in dispersions of rods is reformulated in terms of weighted random geometric graphs. Nodes (or sites or vertices) in the graph represent spatial locations occupied by the centers of the rods. The…

Statistical Mechanics · Physics 2015-09-30 Avik P. Chatterjee , Claudio Grimaldi

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

This paper presents a numerical study of flow through static random assemblies of monodisperse, spherical particles. A lattice Boltzmann approach based on a two relaxation time collision operator is used to obtain reliable predictions of…

Fluid Dynamics · Physics 2014-10-08 Simon Bogner , Swati Mohanty , Ulrich Rüde

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

We determine the nonlocal stress autocorrelation tensor in an homogeneous and isotropic system of interacting Brownian particles starting from the Smoluchowski equation of the configurational probability density. In order to relate stresses…

Statistical Mechanics · Physics 2021-01-12 Florian Vogel , Matthias Fuchs

Particles transported in fluid flows, such as cells, polymers, or nanorods, are rarely spherical. In this study, we numerically and theoretically investigate the dispersion of an initially localized patch of passive elongated Brownian…

Fluid Dynamics · Physics 2021-09-15 Ajay Harishankar Kumar , Stuart J. Thomson , Thomas R. Powers , Daniel M. Harris

Vortical flows of rotating particles describe interactions ranging from molecular machines to atmospheric dynamics. Yet to date, direct observation of the hydrodynamic coupling between artificial micro-rotors has been restricted by the…

Soft Condensed Matter · Physics 2023-08-02 Matan Yah Ben Zion , Alvin Modin , Paul M. Chaikin

We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-impurity scattering, but neglecting electron-phonon…

Strongly Correlated Electrons · Physics 2018-06-27 Andrew Lucas , Sankar Das Sarma

Propagating, solitary magnetic wave solutions of the Landau-Lifshitz equation with uniaxial, easy-axis anisotropy in thin (two-dimensional) magnetic films are investigated. These localized, nontopological wave structures, parametrized by…

Pattern Formation and Solitons · Physics 2012-03-20 M. A. Hoefer , M. Sommacal
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