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The standard approach to non-equilibrium thermodynamics describes transport in terms of generalised forces and coupled currents, a typical example being the Fourier law that relates temperature gradient to the heat flux. Here we demonstrate…

Statistical Mechanics · Physics 2015-05-20 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Lars Bergqvist , Anna Delin , Jonas Frannson

In this paper, we investigate the ground state properties of a mixture of two species of fermionic atoms in one-dimensional optical lattice, as described by the asymmetric Hubbard model. The quantum phase transition from density wave to…

Strongly Correlated Electrons · Physics 2009-11-11 Shi-Jian Gu , Rui Fan , Hai-Qing Lin

We study charged hydrodynamics in a periodic lattice background. Fluctuations are Bloch waves rather than single momentum Fourier modes. At boundaries of the unit cell where hydrodynamic fluctuations are formally degenerate with their…

Strongly Correlated Electrons · Physics 2024-01-24 Nicolas Chagnet , Koenraad Schalm

We study numerically the thermal conductivity in several different one dimensional chains. We show that the phonon-lattice interaction is the main ingredient of the Fourier heat law. Our argument provides a rather satisfactory explanation…

Statistical Mechanics · Physics 2009-10-30 Bambi Hu , Baowen LI , Hong Zhao

The energy spectrum of a system of Bose atoms in the superfluid phase in an optical lattice of the graphene type has been studied. The dispersion laws for the energy bands and the single particle spectral densities are calculated in the…

Quantum Gases · Physics 2014-11-21 I. V. Stasyuk , O. V. Velychko , I. R. Dulepa

Decay law of a complicated unstable state formed in a high energy collision is described by the Fourier transform of the two-point correlation function of the scattering matrix. Although each constituent resonance state decays exponentially…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Valentin V. Sokolov

We explore driven lattice gases for the existence of an intensive thermodynamic variable which could determine "equilibration" between two nonequilibrium steady-state systems kept in weak contact. In simulations, we find that these systems…

Statistical Mechanics · Physics 2015-05-07 Punyabrata Pradhan , Christian P. Amann , Udo Seifert

With the help of Monte Carlo simulations and a mean-field theory, we investigate the ordered steady-state structures resulting from the motion of a single vacancy on a periodic lattice which is filled with two species of oppositely…

Statistical Mechanics · Physics 2009-10-31 M. Thies , B. Schmittmann

We show a case of steady flow in a granular gas that, for small shear rates, is accurately described by Navier-Stokes hydrodynamics, even for high inelasticity. The (low density) granular gas is composed of identical inelastic spheres and…

Soft Condensed Matter · Physics 2013-10-15 Francisco Vega Reyes

We investigate the dynamics of a Bose-Einstein condensate held in an optical lattice under the influence of a strong periodic driving potential. Studying the mean-field version of the Bose-Hubbard model reveals that the condensate becomes…

Other Condensed Matter · Physics 2009-06-08 C. E. Creffield

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

We investigate the strong coupling limit of lattice QCD in the Hamiltonian formulation for systems with non-zero baryon density. In leading order the Hamiltonian looks like an antiferromagnet that is invariant under global U(N_f)xU(N_f) and…

High Energy Physics - Lattice · Physics 2007-05-23 Barak Bringoltz

One of the main features of statistical systems out of equilibrium is the currents they exhibit in their stationary state: microscopic currents of probability between configurations, which translate into macroscopic currents of mass,…

Statistical Mechanics · Physics 2016-01-05 Alexandre Lazarescu

In the present work we demonstrate how to realize 1d-optical closed lattice experimentally, including a {\it tunable} boundary phase-twist. The latter may induce ``persistent currents'', visible by studing the atoms' momentum distribution.…

Other Condensed Matter · Physics 2009-11-11 Luigi Amico , Andreas Osterloh , Francesco Cataliotti

We simulate a balanced attractively interacting two-component Fermi gas in a one-dimensional lattice perturbed with a moving potential well or barrier. Using the time-evolving block decimation method, we study different velocities of the…

Quantum Gases · Physics 2015-11-20 A. -M. Visuri , D. -H. Kim , J. J. Kinnunen , F. Massel , P. Törmä

We show by means of an exact numerical approach that the momentum distribution of a free expanding gas of hard-core bosons on a one-dimensional lattice approaches to the one of noninteracting fermions, acquiring a Fermi edge. Yet there is a…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

We use Bogoliubov theory to calculate the beyond mean field correction to the equation of state of a weakly interacting Bose gas in the presence of a tight 2D optical lattice. We show that the lattice induces a characteristic 3D to 1D…

Other Condensed Matter · Physics 2009-11-11 G. Orso , C. Menotti , S. Stringari

Heat flow and thermal profile in a 1D harmonic lattice with coordinate-dependent masses has been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in…

Statistical Mechanics · Physics 2013-05-09 K. V. Reich

A heuristic law widely used in fluid dynamics for steady flows states that the amount of a fluid in a control volume is the product of the fluid influx and the mean time that the particles of the fluid spend in the volume, or mean residence…

Mathematical Physics · Physics 2023-04-24 Marco Zamparo , Luca Dall'Asta , Andrea Gamba

We study the scattering of a weak and far-detuned light from a system of ultracold bosons in 1D and 3D optical lattices. We show the connection between angular distributions of the scattered light and statistical properties of a Bose gas in…

Quantum Gases · Physics 2009-10-27 Kazimierz Łakomy , Zbigniew Idziaszek , Marek Trippenbach
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