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In a recent work [1] the authors studied the dynamics of the interface separating a vacuum from an inviscid incompressible fluid, subject to the self-gravitational force and neglecting surface tension, in two space dimensions. The fluid is…

Analysis of PDEs · Mathematics 2015-11-25 Lydia Bieri , Shuang Miao , Sohrab Shahshahani , Sijue Wu

We study the interplay between intrinsic spin-orbit coupling and nonlinear photon-photon interactions in a nonparaxial, elliptically polarized fluid of light propagating in a bulk Kerr medium. We find that in situations where the nonlinear…

Optics · Physics 2023-07-10 Giovanni I. Martone , Nicolas Cherroret

Vanishing of the equilibrium Green-Kubo fluctuation expression for the friction coefficient of a massive particle moving in a finite-volume liquid is usually interpreted as an unphysical consequence of the finite volume. Here I show that it…

Chemical Physics · Physics 2009-11-13 Janka Petravic

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

We establish the large-time behavior for the coupled kinetic-fluid equations. More precisely, we consider the Vlasov equation coupled to the compressible isentropic Navier-Stokes equations through a drag forcing term. For this system, the…

Analysis of PDEs · Mathematics 2016-08-03 Young-Pil Choi

An analogy is developed between the breaking of space-inversion symmetry in equilibrium statistical mechanics and the breaking of time-reversal symmetry in nonequilibrium statistical mechanics. In this way, similar relationships…

Statistical Mechanics · Physics 2016-04-12 Pierre Gaspard

We provide bounds on temporal fluctuations around the infinite-time average of out-of-time-ordered and time-ordered correlators of many-body quantum systems without energy gap degeneracies. For physical initial states, our bounds predict…

Strongly Correlated Electrons · Physics 2023-12-20 Talía L. M. Lezama , Yevgeny Bar Lev , Lea F. Santos

The transport coefficient of shear viscosity is studied for a hadron matter through microscopic transport model, the Ultra--relativistic Quantum Molecular Dynamics (UrQMD), using the Green--Kubo formulas. Molecular--dynamical simulations…

Nuclear Theory · Physics 2009-11-10 Azwinndini Muronga

We discuss the fluctuation properties of equilibrium chaotic systems with constraints such as iso-kinetic and Nos\'e-Hoover thermostats. Although the dynamics of these systems does not typically preserve phase-space volumes, the average…

Statistical Mechanics · Physics 2009-08-29 T. Gilbert , J. R. Dorfman

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

Statistical Mechanics · Physics 2009-09-28 Federico Corberi , Leticia F. Cugliandolo

Starting from the Boltzmann equation in the relaxation time approximation and employing a Chapman-Enskog like expansion for the distribution function close to equilibrium, we derive second-order evolution equations for the shear stress…

Nuclear Theory · Physics 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

We report here an extensive study of sustained oscillations of the viscosity of a complex fluid near an out-of-equilibrium transition. Using well defined protocols, we perform rheological measurements of the onion texture near a layering…

Soft Condensed Matter · Physics 2009-11-07 JB. Salmon , A. Colin , D. Roux

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

Fluid Dynamics · Physics 2011-11-02 Youngdon Kwon

We show how to evaluate mobility profiles, characterizing the transport of confined fluids under a perturbation, from equilibrium molecular simulations. The correlation functions derived with the Green-Kubo formalism are difficult to sample…

Chemical Physics · Physics 2020-08-26 Etienne Mangaud , Benjamin Rotenberg

Odd viscosity couples stress to strain rate in a dissipationless way. It has been studied in plasmas under magnetic fields, superfluid ${\rm He}^3$, quantum-Hall fluids, and recently in the context of chiral active matter. In most of these…

Soft Condensed Matter · Physics 2024-09-04 Tomer Markovich , Tom C. Lubensky

We show that the nonreciprocity of hydrodynamic electron transport in noncentrosymmetric conductors with broken time-reversal symmetry (TRS) is significantly enhanced compared to the disorder-dominated regime. This enhancement is caused by…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 E. Kirkinis , L. Bonds , A. Levchenko , A. V. Andreev

We derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

Statistical Mechanics · Physics 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

Graham has shown in Z. Physik B 26, 397-405 (1977) that a fluctuation-dissipation relation can be imposed on a class of non-equilibrium Markovian Langevin equations that admit a stationary solution of the corresponding Fokker-Planck…

Statistical Mechanics · Physics 2023-03-23 Lokrshi Prawar Dadhichi , Klaus Kroy

The thermodynamic uncertainty relation gives a lower bound on the amount of dissipation in a mesoscopic system. By considering the fluctuations in the hysteresis of the current -- the sum of the currents in the time-forward and…

Statistical Mechanics · Physics 2019-09-04 Karel Proesmans , Jordan M. Horowitz

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with conserved dynamics, comprising the mesoscopic descriptions of a wide range of nonequilibrium phenomena. They exhibit continuous parity-time…

Statistical Mechanics · Physics 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos