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Mobile microscopic bodies, such as motile cells, can be modelled phenomenologically as ``active particles'' which can move against external forces by depleting an internal energy depot. The microscopic mechanisms underlying such ``active''…

Statistical Mechanics · Physics 2024-02-01 Diego Marcel Fieguth

We point out unconventional mechanical properties of confined active fluids, such as bacterial suspensions, under shear. Using a minimal model of an active liquid crystal with no free parameters, we predict the existence of a window of…

Soft Condensed Matter · Physics 2019-10-08 Aurore Loisy , Jens Eggers , Tanniemola B. Liverpool

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

We characterize the particle transport, particle loss, and nonequilibrium steady states in a dissipative one-dimensional lattice connected to reservoirs at both ends. The free-fermion reservoirs are fixed at different chemical potentials,…

Quantum Gases · Physics 2023-03-27 A. -M. Visuri , T. Giamarchi , C. Kollath

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

Recent experimental observations of apparently hydrodynamic electronic transport have generated much excitement. However, the understanding of the observed non-local transport (whirlpool) effects and parabolic (Poiseuille-like) current…

Strongly Correlated Electrons · Physics 2020-06-02 Aaron Hui , Samuel Lederer , Vadim Oganesyan , Eun-Ah Kim

We discuss general 2-fluid hydrodynamic equations for complex fluids, where one kind is a simple Newtonian fluid, while the other is either liquid-crystalline or polymeric/elastomeric, thus being applicable to lyotropic liquid crystals,…

Soft Condensed Matter · Physics 2009-11-10 H. Pleiner , J. L. Harden

In this paper, we study all transport coefficients of second-order dissipative fluid dynamics derived by V. E. Ambrus et al. [Phys. Rev. D 106, 076005 (2022)] from the relativistic Boltzmann equation in the relaxation-time approximation for…

Nuclear Theory · Physics 2024-04-30 Victor Ambrus , Etele Molnár , Dirk H. Rischke

The first order hydrodynamic evolution equations for the shear stress tensor, the bulk viscous pressure and the charge current have been studied for a system of quarks and gluons, with a non-vanishing quark chemical potential and finite…

High Energy Physics - Phenomenology · Physics 2020-07-16 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

Variational principles play a fundamental role in deriving evolution equations of physics. They are working well in case of nondissipative evolution but for dissipative systems they are not unique, not predictive and not constructive. With…

Statistical Mechanics · Physics 2020-09-02 Péter Ván , Róbert Kovács

We present a systematic theory of chemically active emulsions in the hydrodynamic limit by constructing a thermodynamically consistent framework in which the equilibrium is broken by chemo-stating of fuel molecules. For ternary solutions…

Soft Condensed Matter · Physics 2026-04-21 Efe Ilker , Kathrin Laxhuber , Jean-Francois Joanny , Frank Jülicher

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

We derive relativistic second-order dissipative fluid-dynamical equations of motion for massive spin-1/2 particles from kinetic theory using the method of moments. Besides the usual conservation laws for charge, energy, and momentum, such a…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk Rischke

We present a novel multi-fluid model for compressible two-phase flows. The model is derived through a newly developed Stationary Action Principle framework. It is fully closed and introduces a new interfacial quantity, the interfacial work.…

Analysis of PDEs · Mathematics 2026-03-20 Ward Haegeman , Giuseppe Orlando , Samuel Kokh , Marc Massot

The hydrodynamic flow of the chiral electron fluid in a Weyl semimetal slab of finite thickness is studied by using the consistent hydrodynamic theory. The latter includes viscous, anomalous, and vortical effects, as well as accounts for…

Strongly Correlated Electrons · Physics 2018-05-23 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We present a new approach to describe hydrodynamics carrying non-Abelian macroscopic degrees of freedom. Based on the Kaluza-Klein compactification of a higher-dimensional neutral dissipative fluid on a group manifold, we obtain a d=4…

High Energy Physics - Theory · Physics 2017-03-08 Jose J. Fernandez-Melgarejo , Soo-Jong Rey , Piotr Surówka

The purpose of this work is to analyze the mathematical model governing motion of $n$-component, heat conducting reactive mixture of compressible gases. We prove sequential stability of weak variational entropy solutions when the state…

Analysis of PDEs · Mathematics 2013-12-17 Ewelina Zatorska

A general set of fluid equations that allow for energy-conserving momentum transport by gyroscopic motion of fluid elements is obtained. The equations are produced by a class of action principles that yield a large subset of the known fluid…

Plasma Physics · Physics 2015-06-22 M. Lingam , P. J. Morrison

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

Statistical Mechanics · Physics 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

We further develop a recently introduced variational principle of stationary action for problems in nonconservative classical mechanics and extend it to classical field theories. The variational calculus used is consistent with an initial…

Mathematical Physics · Physics 2014-12-10 Chad R. Galley , David Tsang , Leo C. Stein
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