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We consider macroscopic systems in weak contact with boundary reservoirs and under the action of external fields. We present an explicit formula for the Hamiltonian of such systems, from which we deduce the equation of motions, the action…

Probability · Mathematics 2022-11-14 Angèle Bouley , Claudio Landim

Confined fluids display complex behavior due to layering and local packing. Here, we disentangle these effects by confining a hard-sphere fluid to the surface of a cylinder, such the circumference extends only over a few particle diameters.…

Soft Condensed Matter · Physics 2020-04-23 Charlotte F. Petersen , Lukas Schrack , Thomas Franosch

The hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of…

Statistical Mechanics · Physics 2015-06-23 J. Javier Brey , M. J. Ruiz-Montero

We report a detailed experimental study of the structure and dynamics of glassy states in hard spheres with short-range attraction. The system is a suspension of nearly-hard-sphere colloidal particles and non-adsorbing linear polymer which…

Soft Condensed Matter · Physics 2009-11-10 K. N. Pham , S. U. Egelhaaf , P. N. Pusey , W. C. K. Poon

We explore the emergence of nonequilibrium collective motion in disordered non-thermal active matter when persistent motion and crowding effects compete, using simulations of a two-dimensional model of size polydisperse self-propelled…

Soft Condensed Matter · Physics 2022-07-27 Yann-Edwin Keta , Robert L. Jack , Ludovic Berthier

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary…

Statistical Mechanics · Physics 2018-08-15 Maximilien Barbier , Pierre Gaspard

The dynamics of systems out of thermal equilibrium is usually treated on a case-by-case basis without knowledge of fundamental and universal principles. We address this problem for a class of driven steady states, namely those mechanically…

Statistical Mechanics · Physics 2009-01-09 A. Baule , R. M. L. Evans

We derive a variational expression for the correlation time of physical observables in steady-state diffusive systems. As a consequence of this variational expression, we obtain lower bounds on the correlation time, which provide speed…

Statistical Mechanics · Physics 2023-03-24 Andreas Dechant , Jerome Garnier-Brun , Shin-ichi Sasa

The energy route to the equation of state of hard-sphere fluids is ill-defined since the internal energy is just that of an ideal gas and thus it is independent of density. It is shown that this ambiguity can be avoided by considering a…

Statistical Mechanics · Physics 2007-05-23 Andres Santos

We derive a collisionless kinetic theory for an ensemble of molecules undergoing nonholonomic rolling dynamics. We demonstrate that the existence of nonholonomic constraints leads to problems in generalizing the standard methods of…

Chaotic Dynamics · Physics 2013-02-26 Darryl D. Holm , Vakhtang Putkaradze , Cesare Tronci

Under shear, a system of particles changes its contact network and becomes unstable as it transitions between mechanically stable states. For hard spheres at zero pressure, contact breaking events necessarily generate an instability, but…

Soft Condensed Matter · Physics 2020-05-20 Peter K. Morse , Sven Wijtmans , Merlijn van Deen , Martin van Hecke , M. Lisa Manning

Scale without conformal symmetry corresponds to an inhomogeneous conservation equation for the virial current sourced by the trace of the energy-momentum tensor. Fluids that are just scale-invariant differ qualitatively from their conformal…

High Energy Physics - Theory · Physics 2025-09-23 Evangelos Afxonidis , Jewel Kumar Ghosh , Daniele Musso , Daniel Naegels , Ignacio Salazar Landea

In recent works, we proposed a hypothesis that the turbulence in gases could be produced by particles interacting via a potential, and examined the proposed mechanics of turbulence formation in a simple model of two particles for a variety…

Fluid Dynamics · Physics 2024-06-12 Rafail V. Abramov

We study the general properties of fluid spheres satisfying the heuristic assumption that their areas and proper radius are equal (the Euclidean condition). Dissipative and non-dissipative models are considered. In the latter case, all…

General Relativity and Quantum Cosmology · Physics 2014-11-20 L. Herrera , N. O. Santos

This is an important and natural question as the spacetime shear, inhomogeneity and tidal effects are all intertwined via the Einstein field equations. However, as we show in this paper, such scenarios are possible for limited classes of…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Jonathan Hakata , Rituparno Goswami , Chevarra Hansraj , Sunil D. Maharaj

Spherically symmetric static fluid sources are endowed with rotation and embedded in Kerr empty space-time up to an including quadratic terms in an angular velocity parameter using Darmois junction conditions. Einstein's equation's for the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ron Wiltshire

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

Analysis of PDEs · Mathematics 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

Nonlinear waves are a robust phenomenon observed in complex systems ranging from mechanics to ecology. Fronts are fundamental due to their robustness against perturbations and capacity to propagate one state over another. Controlling and…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos

New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to ensure causality, local existence, and uniqueness of solutions…

High Energy Physics - Theory · Physics 2021-06-09 Fabio S. Bemfica , Marcelo M. Disconzi , Vu Hoang , Jorge Noronha , Maria Radosz

We introduce and test via molecular simulation a simple model for predicting the manner in which interparticle interactions and thermodynamic conditions impact the single-particle free-volume distributions of equilibrium fluids. The model…

Soft Condensed Matter · Physics 2007-05-23 William P. Krekelberg , Venkat Ganesan , Thomas M. Truskett