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Inter-site interactions in polar lattice gases may result, due to Hilbert-space fragmentation, in a lack of ergodicity even in absence of disorder. We show that the inter-site interaction in a one-dimensional dipolar gas in an optical…

Quantum Gases · Physics 2023-10-31 H. Korbmacher , P. Sierant , W. Li , X. Deng , J. Zakrzewski , L. Santos

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

We study the localization properties of a test dipole feeling the disordered potential induced by dipolar impurities trapped at random positions in an optical lattice. This random potential is marked by correlations which are a convolution…

Quantum Gases · Physics 2013-09-20 M. Larcher , C. Menotti , B. Tanatar , P. Vignolo

We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to exhibit a line of continuous transitions from a disordered…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , David Mukamel , Gunter M. Schutz

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

Statistical Mechanics · Physics 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

We investigate diffusion of excitation in one- and two-dimensional lattices with random on-site energies and deterministic long-range couplings (hopping) inversely proportional to the distance. Three regimes of diffusion are observed in…

Disordered Systems and Neural Networks · Physics 2020-11-18 Karol Kawa , Paweł Machnikowski

We study dynamical behaviors of one-dimensional stochastic lattice gases with repulsive interactions whose span can be arbitrary large. We endow the system with a zero-temperature dynamics, so that the hops to empty sites which would have…

Statistical Mechanics · Physics 2015-06-15 P. L. Krapivsky

We show that in the translation invariant case and in the antiferromagnetic phase, the reduced density matrix $\rho _2$ has no off-diagonal long-range order of on-site electron pairs for the single-band Hubbard model on a cubic lattice away…

Condensed Matter · Physics 2009-10-22 Gang Su , Bao-Heng Zhao

We study non-equilibrium properties of a chain of $N$ oscillators with both long-ranged harmonic interactions and long-range conservative noise that exchange momenta of particle pairs. We derive exact expressions for the (deterministic)…

Statistical Mechanics · Physics 2025-01-14 Francesco Andreucci , Stefano Lepri , Carlos Mejía-Monasterio , Stefano Ruffo

The drag coefficient of a rigid spherical particle deviates from the Stokes law when it is put into a near-critical fluid mixture in the homogeneous phase with the critical composition. The deviation ($\Delta\gamma_{\rm d}$) is…

Soft Condensed Matter · Physics 2020-02-19 Shunsuke Yabunaka , Youhei Fujitani

In fluids under temperature gradients, long-range correlations (LRCs) emerge generically, leading to enhanced density fluctuations. This phenomenon, characterized by the $\boldsymbol{q}^{-4}$ divergence in the static structure factor (where…

Statistical Mechanics · Physics 2025-03-18 Hiroyoshi Nakano , Kazuma Yokota

Consider a system of particles performing nearest neighbor random walks on the lattice $\ZZ$ under hard--core interaction. The rate for a jump over a given bond is direction--independent and the inverse of the jump rates are i.i.d. random…

Probability · Mathematics 2007-09-05 A. Faggionato , M. Jara , C. Landim

We perform a detailed analysis of solutions of the inverse problem applied to experimentally measured two-dimensional radial distribution functions for highly charged latex dispersions. The experiments are carried out at high colloidal…

Soft Condensed Matter · Physics 2009-11-10 Vladimir Lobaskin , Matthias Brunner , Clemens Bechinger , Hans Hennig von Gruenberg

Let a lattice gas of constant density, described by the symmetric simple exclusion process, be brought in contact with a "target": a spherical absorber of radius $R$. Employing the macroscopic fluctuation theory (MFT), we evaluate the…

Statistical Mechanics · Physics 2015-06-22 Baruch Meerson , Arkady Vilenkin , P. L. Krapivsky

We propose a model for a two dimensional, associative water-like lattice gas with one single variable representing both long and short-range interactions. The corresponding hamiltonian was solved exactly, by state enumeration in a finite…

Statistical Mechanics · Physics 2011-11-21 Marcelo R. Thielo , Marcia C. B. Barbosa

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

We study the problem of diffusing particles which coalesce upon contact. With the aid of a non-perturbative renormalization group, we first analyze the dynamics emerging below the critical dimension two, where strong fluctuations imply…

Statistical Mechanics · Physics 2013-02-26 Anton A. Winkler , Erwin Frey

We introduce a short-range correlation density functional defined with respect to a multi-determinantal reference which is meant to be used in a multi-determinantal extension of the Kohn-Sham scheme of density functional theory based on a…

Chemical Physics · Physics 2007-05-23 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

We consider a lattice gas on the discrete d-dimensional torus $(\mathbb{Z}/N\mathbb{Z})^d$ with a generic translation invariant, finite range interaction satisfying a uniform strong mixing condition. The lattice gas performs a Kawasaki…

Mathematical Physics · Physics 2013-02-13 Lorenzo Bertini , Alessandra Faggionato , Davide Gabrielli

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…