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We present the results of analytical and numerical studies of a one-dimensional nonlocal and nonlinear diffusion equation describing non-equilibrium processes ranging from aggregation phenomena to cooperation of individuals. We study a…

Statistical Mechanics · Physics 2007-05-23 Fabio Cecconi , Jayanth R. Banavar , Amos Maritan

We investigate the dynamics of a single tracer exploring a course of fixed obstacles in the vicinity of the percolation transition for particles confined to the infinite cluster. The mean-square displacement displays anomalous transport,…

Statistical Mechanics · Physics 2015-03-17 Markus Spanner , Felix Höfling , Gerd Schröder-Turk , Klaus Mecke , Thomas Franosch

A particle with internal unobserved states diffusing in a force field will generally display effective advection-diffusion. The drift velocity is proportional to the mobility averaged over the internal states, or effective mobility, while…

Statistical Mechanics · Physics 2017-10-13 Erik Aurell , Stefano Bo

We present results for collective diffusion of adatoms on a stepped substrate with a submonolayer coverage. We study the combined effect of the additional binding at step edge, the Schwoebel barrier, the enhanced diffusion along step edges,…

Condensed Matter · Physics 2009-10-28 Juha Merikoski , See-Chen Ying

Diffusion properties of a self-avoiding polymer embedded in regularly distributed obstacles with spacing a=20 and confined in two dimensions is studied numerically using the extended bond fluctuation method which we have developed recently.…

Soft Condensed Matter · Physics 2009-10-31 Ryuzo Azuma , Hajime Takayama

A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibility of phase space are examined in…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov , Jianshu Cao

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

Statistical Mechanics · Physics 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Monte Carlo Simulations of the Spatial Transport of Excitons in a Quantum Well Structure Yutaka Takahashi (Dep. of Electrical and Information Eng., Yamagata University) The in-plane spatial transport of nonequilibrium excitons in a GaAs…

Condensed Matter · Physics 2009-10-28 Yutaka Takahashi

Anomalous short- and long-time self-diffusion of non-overlapping fractal particles on a percolation cluster with spreading dimension $1.67(2)$ is studied by dynamic Monte Carlo simulations. As reported in Phys. Rev. Lett. 115, 097801…

Computational Physics · Physics 2020-10-08 Marco Heinen

Detecting and quantifying non-equilibrium activity is essential for studying internally driven assemblies, including synthetic active matter and complex living systems such as cells or tissue. We discuss a non-invasive approach of measuring…

Biological Physics · Physics 2019-05-22 Grzegorz Gradziuk , Federica Mura , Chase P. Broedersz

We investigate test-particle diffusion in dynamical turbulence based on a numerical approach presented before. For the turbulence we employ the nonlinear anisotropic dynamical turbulence model which takes into account wave propagation…

High Energy Astrophysical Phenomena · Physics 2016-09-28 Martin Heusen , Andreas Shalchi

Physisorbed atoms on the surface of interstellar dust grains play a central role in solid state astrochemistry. Their surface reactivity is one source of the observed molecular complexity in space. In experimental astrophysics, the high…

Solar and Stellar Astrophysics · Physics 2016-03-10 Marco Minissale , Emanuele Congiu , François Dulieu

Recent progresses in single particle tracking have shown evidences of non-Gaussian distribution of displacements in living cells, both near the cellular membrane and inside the cytoskeleton. A similar behavior has also been observed in…

Biological Physics · Physics 2019-05-30 Yann Lanoiselée , Denis S. Grebenkov

I did off-lattice 3D Monte Carlo simulations for polymer translocation through a narrow pore at low external field, trying to be as close to a direct approach as possible. The process was found non equilibrium globally, but dynamics of the…

Soft Condensed Matter · Physics 2008-06-18 Stanislav Kotsev

We analyze within mean-field theory as well as numerically a KPZ equation that describes nonequilibrium wetting. Both complete and critical wettitng transitions were found and characterized in detail. For one-dimensional substrates the…

Statistical Mechanics · Physics 2009-11-10 F. de los Santos , M. M. Telo da Gama , M. A. Munoz

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary states with fractal properties when put in contact with…

Statistical Mechanics · Physics 2009-08-28 Felipe Barra , Pierre Gaspard , Thomas Gilbert

The phase diagram of the penetrable square-well fluid is investigated through Monte Carlo simulations of various nature. This model was proposed as the simplest possibility of combining bounded repulsions at short scale and short-range…

Soft Condensed Matter · Physics 2012-01-12 Riccardo Fantoni , Alexandr Malijevsky , Andres Santos , Achille Giacometti

Using kinetic Monte Carlo simulations, we show that molecular morphologies found in non-equilibrium growth can be strongly different from those at equilibrium. We study the prototypical hybrid inorganic-organic system 6P on ZnO(10-10)…

Soft Condensed Matter · Physics 2016-12-21 Nicola Kleppmann , Sabine H. L. Klapp
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