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We show that the presence of a driven bond in an otherwise diffusive lattice gas with simple exclusion interaction results in long-range density-density correlation in its stationary state. In dimensions $d>1$ we show that in the…

Statistical Mechanics · Physics 2014-11-18 Tridib Sadhu , Satya N. Majumdar , David Mukamel

We investigate the stationary states of one-dimensional driven diffusive systems, coupled to boundary reservoirs with fixed particle densities. We argue that the generic phase diagram is governed by an extremal principle for the macroscopic…

Statistical Mechanics · Physics 2009-10-31 Vladislav Popkov , Gunter M. Schuetz

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

Statistical Mechanics · Physics 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

We study the formation of localized shocks in one-dimensional driven diffusive systems with spacially homogeneous creation and annihilation of particles (Langmuir kinetics).We show how to obtain hydrodynamic equations which describe the…

Statistical Mechanics · Physics 2009-11-10 V. Popkov , A. Rakos , R. D. Willmann , A. B. Kolomeisky , G. M. Schuetz

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

We consider here a two-dimensional incompressible fluid in a periodic channel, whose density is advected by pure transport, and whose velocity is given by the Stokes equation with gravity source term. Dirichlet boundary conditions are taken…

Analysis of PDEs · Mathematics 2025-08-27 Anne-Laure Dalibard , Julien Guillod , Antoine Leblond

Through an exact method we numerically solve the time evolution of the density profile for an initially localized state in the one-dimensional bosons with repulsive short-range interactions. We show that a localized state with a density…

Quantum Gases · Physics 2013-05-30 Jun Sato , Rina Kanamoto , Eriko Kaminishi , Tetsuo Deguchi

The theory of stationary spatially localized patterns in dissipative systems driven by time-independent forcing is well developed. With time-periodic forcing related but time-dependent structures may result. These may consist of breathing…

Pattern Formation and Solitons · Physics 2016-04-29 Punit Gandhi , Edgar Knobloch , Cédric Beaume

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

Quantum Physics · Physics 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

We generalize the compact group approach to conducting systems to give a self-consistent analytical solution to the problem of the effective quasistatic electrical conductivity of macroscopically homogeneous and isotropic dispersions of…

Statistical Mechanics · Physics 2019-11-05 M. Ya. Sushko , A. K. Semenov

We study the stabilization of localized structures by discreteness in one-dimensional lattices of diffusively coupled nonlinear sites. We find that in an external driving field these structures may lose their stability by either relaxing to…

patt-sol · Physics 2007-05-23 Igor Mitkov , Konstantin Kladko , A. R. Bishop

We generalize the definition of localization length to disordered systems driven by a time-periodic potential using a Floquet-Green function formalism. We study its dependence on the amplitude and frequency of the driving field in a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Dario F. Martinez , Rafael A. Molina

We investigate a model for driven exclusion processes where internal states are assigned to the particles. The latter account for diverse situations, ranging from spin states in spintronics to parallel lanes in intracellular or vehicular…

Statistical Mechanics · Physics 2007-06-13 Tobias Reichenbach , Erwin Frey , Thomas Franosch

Using a numerically exact method we study the stability of dynamical localization to the addition of interactions in a periodically driven isolated quantum system which conserves only the total number of particles. We find that while even…

Strongly Correlated Electrons · Physics 2017-10-27 David J. Luitz , Yevgeny Bar Lev , Achilleas Lazarides

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

Loose granular structures stabilized against gravity by an effective cohesive force are investigated on a microscopic basis using contact dynamics. We study the influence of the granular Bond number on the density profiles and the…

Soft Condensed Matter · Physics 2011-03-11 Dirk Kadau , Hans J. Herrmann

A pump coupled to a conserved density generates long-range modulations, resulting from the non-equilibrium nature of the dynamics. We study how these modulations are modified at the critical point where the system exhibits intrinsic…

Statistical Mechanics · Physics 2022-04-27 Ydan Ben Dor , Yariv Kafri , David Mukamel , Ari M. Turner

We study the dynamics of a one-dimensional lattice model of hard core bosons which is initially in a superfluid phase with a current being induced by applying a twist at the boundary. Subsequently, the twist is removed and the system is…

Statistical Mechanics · Physics 2015-06-18 Tanay Nag , Sthitadhi Roy , Amit Dutta , Diptiman Sen

A symmetric dissipative two-state system is asymptotically completely delocalized independent of the initial state. We show that driving-induced localization at long times can take place when both the bias and tunneling coupling energy are…

Statistical Mechanics · Physics 2009-10-31 Holger Adam , Manfred Winterstetter , Milena Grifoni , Ulrich Weiss

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko
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