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In this paper we obtain the existence of global attractors for the dynamical systems generated by weak solution of the three-dimensional Navier-Stokes equations with damping. We consider two cases, depending on the values of the parameters…

Analysis of PDEs · Mathematics 2025-07-30 Daniel Pardo , José Valero , Ángel Giménez

The experimental realization of stable, ultracold Fermi gases near a Feshbach resonance allows to study gases with attractive interactions of essentially arbitrary strength. They extend the classic paradigm of BCS into a regime which has…

Quantum Gases · Physics 2016-08-02 W. Zwerger

The physics of itinerant electrons in condensed matter is by and large governed by repulsive Coulomb forces. However, rare cases exist where local attractive interactions emerge and prevail in determining the ground state of the system…

Mesoscale and Nanoscale Physics · Physics 2016-08-19 Benedikt Friess , Yang Peng , Bernd Rosenow , Felix von Oppen , Vladimir Umansky , Klaus von Klitzing , Jurgen H. Smet

We present an investigation of the combined effects of the Debye-Huckel (DH) repulsive and overlaping Debye spheres (ODS) attractive interaction potentials around charged dust particles on collective modes, phase separation and ordered dust…

Plasma Physics · Physics 2013-05-31 Zoltan Donko , Peter Hartmann , Padma K. Shukla

The phase behavior of hard-sphere particles interacting with a short-ranged potential is studied in the limit of infinite space dimensionality via the Franz-Parisi approach and the replica method of disordered systems. For an attractive…

Disordered Systems and Neural Networks · Physics 2013-09-17 Mauro Sellitto , Francesco Zamponi

Using computer simulations and a thermodynamically self consistent integral equation we investigate the phase behaviour and thermodynamic anomalies of a fluid composed of spherical particles interacting via a two-scale ramp potential (a…

Soft Condensed Matter · Physics 2008-02-27 E. Lomba , N. G. Almarza , C. Martin , C. McBride

We present a unified description of attractive and repulsive polarons, formed in a one-dimensional Bose gas hosting an impurity particle, by obtaining all ground and excited state solutions to the Gross-Pitaevskii equation. Modeling the…

Quantum Gases · Physics 2025-10-02 Nikolay Yegovtsev , T. Alper Yoğurt , Matthew T. Eiles , Victor Gurarie

One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent experimental realization of…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , M. D. Girardeau

In one dimension, the study of magnetism dates back to the dawn of quantum mechanics when Bethe solved the famous Heisenberg model that describes quantum behaviour in magnetic systems. In the last decade, one-dimensional systems have become…

Quantum Gases · Physics 2015-05-26 A. G. Volosniev , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

We study the dynamics of a small number of impurity particles coupled to the ideal Fermi gas in a $d$-dimensional box. The impurities interact with the fermions via a two-body potential $\lambda v(x)$ where $\lambda$ is a coupling constant…

Mathematical Physics · Physics 2021-05-07 David Mitrouskas , Peter Pickl

We study non-homogeneous quantum quenches in a one-dimensional gas of repulsive spin-$1/2$ fermions, as described by the integrable Yang-Gaudin model. By means of generalized hydrodynamics (GHD), we analyze in detail the real-time evolution…

Statistical Mechanics · Physics 2022-11-01 Stefano Scopa , Pasquale Calabrese , Lorenzo Piroli

Superfluidity and superconductivity are remarkable manifestations of quantum coherence at a macroscopic scale. The dynamics of superfluids has dominated the study of these systems for decades now, but a comprehensive theoretical framework…

Quantum Gases · Physics 2011-08-19 Aurel Bulgac , Yuan-Lung , Luo , Piotr Magierski , Kenneth J. Roche , Yongle Yu

Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general $SU(\kappa)$ fermionic system in one-dimension for both the repulsive and attractive regimes under…

Quantum Gases · Physics 2011-04-05 J. Y. Lee , X. W. Guan , M. T. Batchelor

We undertake a systematic exploration of recurrent patterns in a 1-dimensional Kuramoto-Sivashinsky system. For a small, but already rather turbulent system, the long-time dynamics takes place on a low-dimensional invariant manifold. A set…

Pattern Formation and Solitons · Physics 2009-11-13 Yueheng Lan , Predrag Cvitanovic

We present a detailed numerical study of the effect of a disordered potential on a confined one-dimensional Bose-Einstein condensate, in the framework of a mean-field description. For repulsive interactions, we consider the Thomas-Fermi and…

Other Condensed Matter · Physics 2009-11-11 Eric Akkermans , Sankalpa Ghosh , Ziad Musslimani

We induce strong non-local interactions in a 2D Fermi gas in an optical lattice using Rydberg dressing. The system is approximately described by a $t-V$ model on a square lattice where the fermions experience isotropic nearest-neighbor…

A well-known feature of the classical monoatomic gas is that its bulk viscosity is strongly suppressed because the single-particle dispersion is quadratic. On the other hand, in condensed matter systems the effective single-particle…

Quantum Gases · Physics 2023-03-02 Wade DeGottardi , K. A. Matveev

We propose a general framework for investigating a large class of stabilization problems in Markovian quantum systems. Building on the notions of invariant and attractive quantum subsystem, we characterize attractive subspaces by exploring…

Quantum Physics · Physics 2010-12-08 Francesco Ticozzi , Lorenza Viola

Soft, repulsive run-and-tumble particles display emergent effective interactions as they appear to stick to each other in spite of the absence of attractive forces. This effective attraction emerges at strong enough repulsion and large…

Statistical Mechanics · Physics 2026-05-05 Rosalba Garcia-Millan , Ziluo Zhang , Luca Cocconi , Marius Bothe , Letian Chen , Zigan Zhen , Gunnar Pruessner

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times…

Quantum Gases · Physics 2016-09-15 Lorenzo Piroli , Pasquale Calabrese , Fabian H. L. Essler
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