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Related papers: Long-range correlations in a locally driven exclus…

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The dynamical, long-wavelength longitudinal and transverse exchange-correlation potentials for a homogeneous electron gas are evaluated in a microscopic model based on an approximate decoupling of the equation of motion for the…

Condensed Matter · Physics 2009-10-30 S. Conti , R. Nifosi' , M P Tosi

We explore how correlations evolve in a gas of lattice bosons when the lattice depth is rapidly reduced. We find a simple closed form expression for the static structure factor in the limit of vanishing interactions. The corresponding…

Quantum Gases · Physics 2013-07-08 Stefan S. Natu , Erich J. Mueller

We show that the expression of the high-density (i.e small-$r_s$) correlation energy per electron for the one-dimensional uniform electron gas can be obtained by conventional perturbation theory and is of the form $\Ec(r_s) = -\pi^2/360 +…

Strongly Correlated Electrons · Physics 2013-08-19 Pierre-François Loos

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

Materials Science · Physics 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

For a hard-core Bose gas on a one-dimensional lattice we find characteristic oscillations in the density-density correlation function. Their wavelength diverges as the system undergoes a continuous transition from an incommensurate to a…

Statistical Mechanics · Physics 2016-08-31 C. Ates , Ch. Moseley , K. Ziegler

We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. A. Cazalilla

We study correlations in fermionic lattice systems with long-range interactions in thermal equilibrium. We prove a bound on the correlation decay between anti-commuting operators and generalize a long-range Lieb-Robinson type bound. Our…

Quantum Physics · Physics 2017-09-15 Senaida Hernández-Santana , Christian Gogolin , J. Ignacio Cirac , Antonio Acín

The presence of long-ranged correlations in a fluid undergoing uniform shear flow is investigated. An exact relation between the density autocorrelation function and the density-mometum correlation function implies that the former must…

Statistical Mechanics · Physics 2009-11-07 James F. Lutsko , J. W. Dufty

We derive exact density functionals for systems of hard rods with first-neighbor interactions of arbitrary shape but limited range on a one-dimensional lattice. The size of all rods is the same integer unit of the lattice constant. The…

Statistical Mechanics · Physics 2013-12-17 Benaoumeur Bakhti , Gerhard Müller , Philipp Maass

We report on the transition between an Anderson localized regime and a conductive regime in a 1D scattering system with correlated disorder. We show experimentally that when long-range correlations, in the form of a power-law spectral…

We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder and long-range couplings with a power-law dependence on the distance ($\propto r^{-\mu}$). The increase…

Disordered Systems and Neural Networks · Physics 2022-06-01 Karol Kawa , Paweł Machnikowski

Hydrodynamic interactions between particles confined in a liquid-filled linear channel are known to be screened beyond a distance comparable to the channel width. Using a simple analytical theory and lattice-Boltzmann simulations, we show…

Soft Condensed Matter · Physics 2010-07-06 Derek Frydel , Haim Diamant

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

Statistical Mechanics · Physics 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

The low-density expansions for the energy, chemical potential, and condensate depletion of the homogeneous dilute dipolar Bose gas are obtained by regularizing the dipole-dipole interaction at long distances. It is shown that the leading…

Quantum Gases · Physics 2020-01-01 Alexander Yu. Cherny

We present Monte Carlo simulations of the lattice gas with nearest-neighbor exclusion and Kawasaki (hopping) dynamics, under the influence of a nonuniform drive, on the square lattice. The drive, which favors motion along the +$x$ and…

Statistical Mechanics · Physics 2009-11-11 Fabricio Q. Potiguar , Ronald Dickman

We derive explicit expressions for dynamical correlations of the field and density operators in the Lieb-Liniger model, within an arbitrary eigenstate with a small particle density ${\cal D}$. They are valid for all space and time and any…

Mathematical Physics · Physics 2021-03-31 Etienne Granet

We study the mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling regime, focusing on the long time properties. By a saddle point analysis of the mode-coupling equations, we derive exact results for the…

Statistical Mechanics · Physics 2009-10-31 Francesca Colaiori , M. A. Moore

We study nonequilibrium steady states of the driven lattice gas with two particles, using the most general stochastic transition rules that satisfy the local detailed balance condition. We observe that i) the universal $1/r^d$ long range…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

We present a Monte Carlo study of the high-temperature phase of the two-dimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, verify that this definition has a good infinite-volume limit…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Andrea Gambassi , Massimiliano Gubinelli , Andrea Pelissetto