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We propose a model of an approximatively two--dimensional electron gas in a uniform electric and magnetic field and interacting with a positive background through the Fr\"ohlich Hamiltonian. We consider the stochastic limit of this model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. Accardi , F. Bagarello

Exact and closed-form expressions of the particle density, the kinetic energy density, the probability current density, and the momentum distribution are derived for a coherent state of a noninteracting Fermi gas, while such a state can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Dae-Yup Song

We consider the nonlinear Hartree equation for an interacting gas containing infinitely many particles and we investigate the large-time stability of the stationary states of the form $f(-\Delta)$, describing an homogeneous Fermi gas. Under…

Mathematical Physics · Physics 2016-01-20 Mathieu Lewin , Julien Sabin

One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the…

Statistical Mechanics · Physics 2013-05-29 Claudio Giberti , Lamberto Rondoni

We consider the lattice dynamics in the harmonic approximation for We consider the lattice dynamics in the harmonic approximation for a simple hypercubic lattice with arbitrary unit cell. The initial data are random according to a…

Mathematical Physics · Physics 2007-05-23 T. V. Dudnikova , H. Spohn

We consider a nonequilibrium transition that leads to the formation of nonlinear steady-state structures due to the gas flow scattering on a partially penetrable obstacle. The resulting nonequilibrium steady state (NESS) corresponds to a…

Statistical Mechanics · Physics 2026-04-23 S. P. Lukyanets , O. V. Kliushnichenko

In order to illuminate the properties of current fluctuations in more than one dimension, we use a lattice-based Markov process driven into a non-equilibrium steady state. Specifically, we perform a detailed study of the particle current…

Statistical Mechanics · Physics 2016-03-21 Rodrigo Villavicencio-Sanchez , Rosemary J. Harris

We study the structure of quasiperiodic Lorentz gases, i.e., particles bouncing elastically off fixed obstacles arranged in quasiperiodic lattices. By employing a construction to embed such structures into a higher dimensional periodic…

Soft Condensed Matter · Physics 2015-12-09 Atahualpa S. Kraemer , Michael Schmiedeberg , David P. Sanders

The lattice gas model of condensation in a heterogeneous pore system, represented by a random graph of cells, is studied using an exact analytical solution. A binary mixture of pore cells with different coordination numbers is shown to…

Statistical Mechanics · Physics 2014-08-26 Thomas P. Handford , Alexander Dear , Francisco J. Pérez-Reche , Sergei N. Taraskin

The zero-temperature phase diagrams of imbalanced two-species Fermi gases are investigated in asymmetric optical lattices with arbitrary potential depths, based on the exact spectrum instead of the Fermi-Hubbard model. We study the effect…

Quantum Gases · Physics 2010-02-23 Xiaoling Cui , Yupeng Wang

We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

Quantum Gases · Physics 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

The Hubbard model on the Kagom\'e lattice is investigated in a metallic phase at half-filling. By introducing anisotropic electron hopping on the lattice, we control geometrical frustration and clarify how the lattice geometry affects…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshiki Imai , Norio Kawakami , Hirokazu Tsunetsugu

We construct a simple multicomponent lattice gas model in one dimension in which each site can either be empty or occupied by at most one particle of any one of $D$ species. Particles interact with a nearest neighbor interaction which…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Wettig , A. D. Jackson

We present a numerical study of a two-lane version of the stochastic non-equilibrium model known as the totally asymmetric simple exclusion process. For such a system with open boundaries, and suitably chosen values of externally-imposed…

Statistical Mechanics · Physics 2019-07-31 S. L. A. de Queiroz , R. B. Stinchcombe

The dynamics of quasicrystals is characterized by the existence of phason excitations in addition to the usual phonon modes. In order to investigate their interplay on an elementary level we resort to various one-dimensional model systems.…

Other Condensed Matter · Physics 2007-05-23 Michael Engel , Steffen Sonntag , Hansjörg Lipp , Hans-Rainer Trebin

The equation of state of a dilute two-component asymmetric Fermi gas at unitarity is subject to strong constraints, which affect the spatial density profiles in atomic traps. These constraints require the existence of at least one…

Superconductivity · Physics 2008-11-26 Aurel Bulgac , Michael McNeil Forbes

A new class of pattern forming systems is identified and investigated: anisotropic systems that are spatially inhomogeneous along the direction perpendicular to the preferred one. By studying the generic amplitude equation of this new class…

Pattern Formation and Solitons · Physics 2015-10-28 B. Kaoui , A. Guckenberger , A. Krekhov , F. Ziebert , W. Zimmermann

I review recent results from numerical simulations on the structure and dynamics of the ISM, and attempt to put together a coherent dynamical scenario. In particular, I discuss results on 1) the spatial distribution of the gas components,…

Astrophysics · Physics 2007-05-23 Enrique Vazquez-Semadeni

We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a…

Soft Condensed Matter · Physics 2017-11-27 Ning Xu , Andrea J. Liu , Sidney R. Nagel

Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase…

Soft Condensed Matter · Physics 2016-01-20 Blesson Chacko , Christopher Chalmers , Andrew J. Archer