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In this work, we derive an exact hydrodynamical description for the coupled, charge and operator dynamics, in a quantum many-body system with U(1) symmetry. Using an emergent symmetry in the complex Brownian SYK model with charge…

Strongly Correlated Electrons · Physics 2023-05-12 Lakshya Agarwal , Subhayan Sahu , Shenglong Xu

Hydrodynamics accurately describes relativistic heavy-ion collision experiments well before local thermal equilibrium is established. This unexpectedly rapid onset of hydrodynamics -- which takes place on the fastest available timescale --…

Quantum Gases · Physics 2023-06-30 Yuan Le , Yicheng Zhang , Sarang Gopalakrishnan , Marcos Rigol , David S. Weiss

One-dimensional integrable and quasi-integrable systems display, on macroscopic scales, a universal form of transport known as Generalized Hydrodynamics (GHD). In its standard Euler-scale formulation, GHD mirrors the equations of a…

Statistical Mechanics · Physics 2026-01-23 Andrew Urilyon , Leonardo Biagetti , Jitendra Kethepalli , Jacopo De Nardis

Turbulent concentric coaxial pipe flows are numerically investigated as canonical problem addressing spanwise curvature effects on heat and momentum transfer that are encountered in various engineering applications. It is demonstrated that…

Fluid Dynamics · Physics 2026-02-04 Marten Klein , Pei-Yun Tsai , Heiko Schmidt

We simulate late-stage coarsening of a 3-D symmetric binary fluid. With reduced units l,t (with scales set by viscosity, density and surface tension) our data extends two decades in t beyond earlier work. Across at least four decades, our…

Soft Condensed Matter · Physics 2009-10-31 S. I. Jury , P. Bladon , S. Krishna , M. E. Cates

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous…

Strongly Correlated Electrons · Physics 2024-11-19 J. M. P. Carmelo , P. D. Sacramento

In [Nat. Phys. 8, 325-330 (2012)], Trotzky et al. utilize ultracold atoms in an optical lattice to simulate the local relaxation dynamics of a strongly interacting Bose gas "for longer times than present classical algorithms can keep track…

Quantum Gases · Physics 2024-01-11 Paul Secular

We consider dynamical systems evolving near an equilibrium statistical state where the interest is in modelling long term behavior that is consistent with thermodynamic constraints. We adjust the distribution using an entropy-optimizing…

Fluid Dynamics · Physics 2014-11-25 Keith Myerscough , Jason Frank , Benedict Leimkuhler

This Ph.D. thesis reports on progress in rigorously establishing hydrodynamic principles from the microscopic Hamiltonian dynamics of quantum many-body systems in a general, non-model-specific manner. Using the C*-algebra framework of…

Mathematical Physics · Physics 2026-01-14 Dimitrios Ampelogiannis

We review and compare numerical methods that simultaneously control temperature while preserving the momentum, a family of particle simulation methods commonly used for the modelling of complex fluids and polymers. The class of methods…

Computational Physics · Physics 2020-02-14 Benedict Leimkuhler , Xiaocheng Shang

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

We show that at any temperature, the low-energy (with respect to the chemical potential) collective excitations of the transverse components of the energy-momentum tensor and the global U(1) current in the field theory dual to the planar…

High Energy Physics - Theory · Physics 2013-07-11 Richard A. Davison , Andrei Parnachev

We present a quantitative analysis of the inertial range statistics produced by Entropic Lattice Boltzmann Method (ELBM) in the context of 3d homogeneous and isotropic turbulence. ELBM is a promising mesoscopic model particularly…

Fluid Dynamics · Physics 2021-07-14 Michele Buzzicotti , Guillaume Tauzin

In an effort to address integrability breaking in cold gas experiments, we extend the integrable hydrodynamics of the 1d Lieb-Liniger model with two additional components representing the population of atoms in the first and second…

By the hydrodynamic linear response theory, dynamical correlation functions decay as power laws along certain velocities, determined by the flux Jacobian. Such correlations are obtained by hydrodynamic projections, and physically, they are…

Mathematical Physics · Physics 2023-02-07 Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon

Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various…

Statistical Mechanics · Physics 2016-12-23 Leila Shahsavar , Malihe Ghodrat , Afshin Montakhab

The conserved magnetic flux of U(1) electrodynamics coupled to matter in four dimensions is associated with a generalized global symmetry. We study the realization of such a symmetry at finite temperature and develop the hydrodynamic theory…

High Energy Physics - Theory · Physics 2017-05-10 Sašo Grozdanov , Diego M. Hofman , Nabil Iqbal

It is well known that energy dissipation and finite size can deeply affect the dynamics of granular matter, often making usual hydrodynamic approaches problematic. Here we report on the experi-mental investigation of a small model system,…

Soft Condensed Matter · Physics 2023-10-31 Andrea Gnoli , Giorgio Pontuale , Andrea Puglisi , Alberto Petri

We investigate the behavior of a one-dimensional diatomic fluid under a shock wave excitation. We find that the properties of the resulting shock wave are in striking contrast with those predicted by hydrodynamic and kinetic approaches,…

Statistical Mechanics · Physics 2009-11-11 Pablo I. Hurtado

The interface between liquid water and the Pt(111) metal surface is characterized structurally and thermodynamically via reactive molecular dynamics (MD) simulations within the ReaxFF framework. The formation of a distinct buckled adsorbate…

Chemical Physics · Physics 2021-03-19 Christoph Karsten Jung , Laura Braunwarth , Andrey Sinyavskiy , Timo Jacob