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A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

Classical Physics · Physics 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

We present steps towards an ab initio derivation of generalised hydrodynamics in quantum integrable models, starting from the Bethe wave functions, and explained on the example of the repulsive Lieb-Liniger model. This includes an…

Statistical Mechanics · Physics 2026-04-30 Benjamin Doyon , Friedrich Hübner

The construction of a generalized (higher-order) nonlinear thermo-hydrodynamics, based on a nonequilibrium ensemble formalism has been presented in the preceding article. The working of such theory is illustrated in the present one. We…

Statistical Mechanics · Physics 2007-05-23 J. Galvão Ramos , Áurea R. Vasconcellos , Roberto Luzzi

Generalised hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional…

Statistical Mechanics · Physics 2017-07-14 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

The hydrodynamic interpretation of quantum mechanics treats a system of particles in an effective manner. In this work, we investigate squeezed coherent states within the hydrodynamic interpretation. The Hamiltonian operator in question is…

Quantum Physics · Physics 2022-05-24 Nezihe Uzun

We construct the canonical constitutive relations for a fluid description of a system with a spin current, valid in an arbitrary number of dimensions in the absence of parity breaking or time reversal breaking terms. Our study encompasses…

High Energy Physics - Theory · Physics 2023-06-07 A. D. Gallegos , U. Gursoy , A. Yarom

Recently an effective membrane theory valid in a "hydrodynamic limit" was proposed to describe entanglement dynamics of chaotic systems based on results in random quantum circuits and holographic gauge theories. In this paper, we show that…

High Energy Physics - Theory · Physics 2020-03-18 Márk Mezei , Julio Virrueta

In the past few years, the theory of thermal transport in amorphous solids has been substantially extended beyond the Allen-Feldman model. The resulting formulation, based on the Green-Kubo linear response or the Wigner-transport equation,…

Materials Science · Physics 2023-09-08 Alfredo Fiorentino , Paolo Pegolo , Stefano Baroni

We construct exact steady states of unitary non-equilibrium time evolution in the gapless XXZ spin-1/2 chain where integrability preserves ballistic spin transport at long-times. We characterize the quasi-local conserved quantities…

Strongly Correlated Electrons · Physics 2017-08-23 Andrea De Luca , Mario Collura , Jacopo De Nardis

We study the reduced dynamics of open quantum spin chains of arbitrary length $N$ with nearest neighbour $XX$ interactions, immersed within an external constant magnetic field along the $z$ direction, whose end spins are weakly coupled to…

Quantum Physics · Physics 2021-09-22 Fabio Benatti , Roberto Floreanini , Laleh Memarzadeh

Quantum impurity models (QIMs) are ubiquitous throughout physics. As simplified toy models they provide crucial insights for understanding more complicated strongly correlated systems, while in their own right are accurate descriptions of…

Statistical Mechanics · Physics 2023-10-12 Colin Rylands , Pasquale Calabrese

The Yang-Baxter equation has long been recognised as the masterkey to integrability, providing the basis for exactly solved models which capture the fundamental physics of a number of realistic classical and quantum systems. In this article…

Statistical Mechanics · Physics 2016-04-22 Murray T. Batchelor , Angela Foerster

We study Euler scale hydrodynamics of massless integrable quantum field theories interpolating between two non-trivial renormalisation group fixed points after inhomogeneous quantum quenches. Using a partitioning protocol with left and…

Statistical Mechanics · Physics 2020-01-08 David X. Horvath

The "theory of open sub-functorial dynamics" is a new theory that defines interacting generalized dynamical systems. The interactions between these dynamics produce new dynamics which, of course, can then enter into other interactions. A…

Dynamical Systems · Mathematics 2016-08-31 Stéphane Dugowson

A representation of current is presented which can account for ideal conduction and distinguish superconductors, superfluids, ideal, and non-ideal conductors. The idea of the scheme is that different current operators and transport weights…

Superconductivity · Physics 2016-11-01 Balázs Hetényi

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in the context of condensed matter systems to study properties of steady states in the limit of long times, the actual…

Statistical Mechanics · Physics 2023-08-07 Tjark Heitmann , Jonas Richter , Jacek Herbrych , Jochen Gemmer , Robin Steinigeweg

An exact mechanism is written down to guarantee extensive residual ground state entropy and spin liquidity in spin-1/2 lattice models with bond-dependent couplings. It is based on the presence of extensively large and mutually non-commuting…

Statistical Mechanics · Physics 2025-08-15 Sumiran Pujari

First we discuss the definition of the instantaneous current in interacting particle systems, in particular in mass-energy systems and we point out its role in the derivation of the hydrodynamics. Later we present some geometrical…

Statistical Mechanics · Physics 2022-08-23 Leonardo De Carlo

A new approach to modelling free surface flows is developed that enables, for the first time, 3D consistent non-hydrostatic baroclinic physics that wets and dries in the large aspect ratio spatial domains that characterise geophysical…

Fluid Dynamics · Physics 2017-03-28 Adam S. Candy

We address the hydrodynamics of operator spreading in interacting integrable lattice models. In these models, operators spread through the ballistic propagation of quasiparticles, with an operator front whose velocity is locally set by the…

Statistical Mechanics · Physics 2018-12-26 Sarang Gopalakrishnan , David A. Huse , Vedika Khemani , Romain Vasseur