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We have studied nonequilibrium dynamics of the one-dimensional Hubbard model using the generalized hydrodynamic theory. We mainly investigated the spatio-temporal profile of charge density, energy density and their currents using the…

Statistical Mechanics · Physics 2020-01-22 Yuji Nozawa , Hirokazu Tsunetsugu

This review is devoted to the problem of thermalization in a small isolated conglomerate of interacting constituents. A variety of physically important systems of intensive current interest belong to this category: complex atoms, molecules…

Statistical Mechanics · Physics 2016-04-18 F. Borgonovi , F. M. Izrailev , L. F. Santos , V. G. Zelevinsky

While thermostated time evolutions stand on firm grounds and are widely used in classical molecular dynamics (MD) simulations, similar methods for quantum MD schemes are still lacking. In the special case of a quantum particle in a harmonic…

Statistical Mechanics · Physics 2009-11-10 D. Mentrup , J. Schnack

The integrable system is constrained strictly by the conservation law during the time evolution, and the nearly integrable system or nonintegrable system is also constrained by the conserved parameters (like the constants of motion) with…

Statistical Mechanics · Physics 2017-11-10 Chen-Huan Wu

By using numerical simulations, we investigate the dynamics of a quantum system of interacting bosons. We find an increase of properly defined mixing properties when the number of particles increases at constant density or the interaction…

Condensed Matter · Physics 2009-10-28 Giovanni Jona-Lasinio , Carlo Presilla

We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic…

Quantum Gases · Physics 2019-07-18 S. I. Mistakidis , A. G. Volosniev , N. T. Zinner , P. Schmelcher

A driven system of three species of particle diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should phase separate and break the translational…

Statistical Mechanics · Physics 2009-10-31 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

The one dimensional $\delta$-function interacting Bose gas (the Lieb-Liniger model) is an integrable system, which can model experiments with ultra cold atoms in one dimensional traps. Even though the model is integrable, integrability…

Quantum Gases · Physics 2021-04-21 Arthur Hutsalyuk , Balázs Pozsgay

Hydrodynamic description requires a local thermodynamic equilibrium of the system under study but an approximate hydrodynamic behaviour is already manifested when a momentum distribution of liquid components is not of equilibrium form but…

High Energy Physics - Phenomenology · Physics 2009-11-11 Stanislaw Mrowczynski

Relative motion in a two-component, trapped atomic gas provides a sensitive probe of interactions. By studying the lowest frequency excitations of a two spin-state gas confined in a magnetic trap, we have explored the transition from the…

Statistical Mechanics · Physics 2009-11-07 S. D. Gensemer , D. S. Jin

This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

Analysis of PDEs · Mathematics 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

When an ion confined in a linear ion trap interacts with a coherent laser field, the internal degrees of freedom, related to the electron transitions, couple to the vibrational degree of freedom of the ion. As a result of this interaction,…

Quantum Physics · Physics 2009-11-06 G. P. Berman , A. R. Bishop , D. F. V. James , R. J. Hughes , D. I. Kamenev

The response of a cold atom gas with contact interactions to a smoothly varying external harmonic confinement in the non-adiabatic regime is studied. The time variation of the angular frequency is varied such that the system is, for…

Quantum Gases · Physics 2017-09-27 Seyed Ebrahim Gharashi , D. Blume

Nonintegrability is a necessary condition for the thermalization of a generic Hamiltonian system. In practice, the integrability can be broken in various ways. As illustrating examples, we numerically studied the thermalization behaviors of…

Statistical Mechanics · Physics 2019-11-06 Weicheng Fu , Yong Zhang , Hong Zhao

We study the modes and stability of non - isothermal coronal loop models with different intensity values of the equilibrium magnetic field. We use an energy principle obtained via non - equilibrium thermodynamic arguments. The principle is…

Astrophysics · Physics 2008-11-26 Andrea Costa , Rafael Gonzalez

Under sufficiently slow driving, thermodynamics predicts reversible evolution through a sequence of equilibrium states. We show that this expectation fails near spectral degeneracy in driven quadratic Hamiltonian systems. As the soft-mode…

Statistical Mechanics · Physics 2026-04-14 Ilki Kim

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of…

Quantum Physics · Physics 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

If a porous media is being damaged by excessive stress, the elastic matrix at every infinitesimal volume separates into a 'solid' and a 'broken' component. The 'solid' part is the one that is capable of transferring stress, whereas the…

Fluid Dynamics · Physics 2023-05-09 François Gay-Balmaz , Vakhtang Putkaradze

We propose a new type of quantum thermodynamic cycle whose efficiency is greater than the one of the classical Carnot cycle for the same conditions for a system when viewed as homogeneous. In our model this type of cycle only exists in the…

Quantum Physics · Physics 2024-08-15 Andreas Fring , Marta Reboiro

We obtain the hydrodynamic limit of one-dimensional interacting particle systems describing the macroscopic evolution of the density of mass in infinite volume from the microscopic dynamics. The processes are weak pertubations of the…

Probability · Mathematics 2009-08-14 Glauco Valle
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