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We consider systems of particles hopping stochastically on $d$-dimensional lattices with space-dependent probabilities. We map the master equation onto an evolution equation in a Fock space where the dynamics are given by a quantum…

Condensed Matter · Physics 2007-05-23 Gunter Schuetz , Sven Sandow

We study the motion of $N$ particles moving on a two-dimensional triangular lattice, whose sites are occupied by either left or right rotators. These rotators deterministically scatter the particles to the left (right), changing orientation…

Statistical Mechanics · Physics 2020-02-19 Stewart McGinnis , Benjamin Webb

Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical transition between survival and extinction. For time- dependent…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Hajnalka Gergely , Beata Oborny

We study a stochastic lattice gas of particles undergoing asymmetric diffusion in two dimensions. Transitions between a low-density uniform phase and high-density non-uniform phases characterized by localized or extended structure are…

Condensed Matter · Physics 2009-10-22 Kwan-tai Leung

A simple model of a vibrated granular monolayer is studied. It consists of inelastic hard spheres confined between two parallel hard plates separated a distance smaller than twice the diameter of the particles. Both walls are elastic and…

Statistical Mechanics · Physics 2019-12-20 P. Maynar , M. I. García de Soria , J. J. Brey

In this work high-dimensional (21D) quantum dynamics calculations on mode-specific surface scattering of a carbon monoxide molecule on a copper (100) surface with lattice effects of a five-atom surface cell are performed through the…

Chemical Physics · Physics 2021-03-10 Qingyong Meng , Markus Schroeder , Hans-Dieter Meyer

Assembled monolayers of colloidal particles are crucial for various applications, including opto-electronics, surface engineering, as well as light harvesting, and catalysis. A common approach for self-assembly is the drying of a colloidal…

Soft Condensed Matter · Physics 2025-06-04 Qingguang Xie , Tian Du , Christoph J. Brabec , Jens Harting

Reaction-diffusion systems where transition rates exhibit quenched disorder are common in physical and chemical systems. We study pair reactions on a periodic two-dimensional lattice, including continuous deposition and spontaneous…

Disordered Systems and Neural Networks · Physics 2010-11-10 A. Wolff , I. Lohmar , J. Krug , Y. Frank , O. Biham

Slow dynamics in a fluid are studied in one of the most basic systems possible: polydisperse hard spheres. Monodisperse hard spheres cannot be studied as the slow down in dynamics as the density is increased is preempted by crystallisation.…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

We overview recent results on intrinsic frictional properties of adsorbed monolayers, composed of mobile hard-core particles undergoing continuous exchanges with a vapor phase. In terms of a dynamical master equation approach we determine…

Statistical Mechanics · Physics 2007-05-23 O. Benichou , A. M. Cazabat , J. De Coninck , M. Moreau , G. Oshanin

Molecules at the air-water interface often form inhomogeneous layers in which domains of different densities are separated by sharp interfaces. Complex interfacial pattern formation may occur through the competition of short- and long-range…

patt-sol · Physics 2009-10-30 David K. Lubensky , Raymond E. Goldstein

We use the dynamical mean field method to investigate electronic properties of heterostructures in which finite number of Mott-insulator layers are embedded in a spatially infinite band-insulator. The evolution of the correlation effects…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Okamoto , Andrew J. Millis

We report on atomistic simulations of DPPC lipid monolayers using the CHARMM36 lipid force field and four-point OPC water model. The entire two-phase region where domains of the `liquid-condensed' (LC) phase coexist with domains of the…

Soft Condensed Matter · Physics 2019-03-18 S. Panzuela , D. P. Tieleman , L. Mederos , E. Velasco

In antiferromagnetically coupled superlattices grown on (001) faces of cubic substrates, e.g. based on materials combinations as Co/Cu, Fe/Si, Co/Cr, or Fe/Cr, the magnetic states evolve under competing influence of bilinear and biquadratic…

Condensed Matter · Physics 2009-11-10 U. K. Roessler , A. N. Bogdanov

We study the problem of homogenization for inertial particles moving in a periodic velocity field, and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large scale, long time behavior of…

Statistical Mechanics · Physics 2009-11-11 G. A. Pavliotis , A. M. Stuart

We develop an general formalism of single enzyme kinetics in two dimension where substrates diffuse stochastically on a square lattice in presence of disorder. The dynamics of the model could be decoupled effectively to two stochastic…

Chemical Physics · Physics 2009-01-20 Mahashweta Basu , P. K. Mohanty

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a completely wettable spherical substrate is theoretically studied. Both convex spherical substrates and concave spherical cavities with smooth or rough…

Soft Condensed Matter · Physics 2018-12-18 Masao Iwamatsu

We experimentally investigate the structural behavior of an interacting colloidal monolayer being driven across a decagonal quasiperiodic potential landscape created by an optical interference pattern. When the direction of the driving…

Soft Condensed Matter · Physics 2015-06-05 Thomas Bohlein , Clemens Bechinger

A theory of mechanical behaviour of the magneto-sensitive elastomers is developed in the framework of a linear elasticity approach. Using a regular rectangular lattice model, different spatial distributions of magnetic particles within a…

Soft Condensed Matter · Physics 2011-07-15 D. Ivaneyko , V. Toshchevikov , M. Saphiannikova , G. Heinrich

When thin films are grown on a substrate by chemical vapor deposition, the evolution of the first deposited layers may be described, on mesoscopic scales, by dynamical models of the reaction-diffusion type. For monoatomic layers, such…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Daniel Walgraef