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We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

元胞自动机与格子气 · 物理学 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

Reducible oxides are widely used catalyst supports that can increase oxidation reaction rates by transferring their lattice oxygen at the metal-support interface. The interfacial oxidation process is typically described in terms of a…

材料科学 · 物理学 2021-04-05 Joshua L. Vincent , Peter A. Crozier

In this article a stochastic cellular automata model is examined, which has been developed to study a "small" world, where local changes may noticeably alter global characteristics. This is applied to a climate model, where global…

元胞自动机与格子气 · 物理学 2011-03-24 Lichtenegger Klaus , Schappacher Wilhelm

We present a field theory to describe the composition of a surface spontaneously exchanging matter with its bulk environment. By only assuming matter conservation in the system, we show with extensive numerical simulations that, depending…

生物物理 · 物理学 2023-08-09 Nirvana Caballero , Karsten Kruse , Thierry Giamarchi

We describe a first-principles statistical mechanics approach enabling us to simulate the steady-state situation of heterogeneous catalysis. In a first step density-functional theory together with transition-state theory is employed to…

材料科学 · 物理学 2007-05-23 Karsten Reuter , Matthias Scheffler

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-organization phenomena encountered in pedestrian traffic, e.g.…

Soil is a complex, dynamic material, with physical properties that depend on its biological content. We propose a cellular automaton model for self-organizing soil structure, where soil aggregates and serves as food for microbial species.…

生物物理 · 物理学 2025-10-10 Riz Fernando Noronha , Kim Sneppen , Kunihiko Kaneko

Precipitation/dissolution reactions coupled with solute transport are modelled as a cellular automaton in which solute molecules perform a random walk on a regular lattice and react according to a local probabilistic rule. Stationary solid…

comp-gas · 物理学 2009-10-28 T. Karapiperis

We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number of randomly chosen empty sites are occupied again. We find a…

统计力学 · 物理学 2009-10-30 Siegfried Clar , Barbara Drossel , Klaus Schenk , Franz Schwabl

The dynamics of a spherical chemically-powered synthetic colloidal motor that operates by a self-diffusiophoretic mechanism and has a catalytic domain of arbitrary shape is studied using both continuum theory and particle-based simulations.…

软凝聚态物质 · 物理学 2019-12-17 Shang Yik Reigh , Mu-Jie Huang , Hartmut Löwen , Eric Lauga , Raymond Kapral

Polaron formation plays a major role in determining the structural, electrical and chemical properties of ionic crystals. Using a combination of first principles calculations and scanning tunneling microscpoy/atomic force microscopy…

The work introduces a 3D cellular automaton model for the spatial and crystallographic prediction of spherulite growth phenomena in polymers at the mesoscopic scale. The automaton is discrete in time, real space, and orientation space. The…

软凝聚态物质 · 物理学 2008-11-11 D. Raabe

Cellular automata are widely used to model natural or artificial systems. Classically they are run with perfect synchrony, i.e., the local rule is applied to each cell at each time step. A possible modification of the updating scheme…

元胞自动机与格子气 · 物理学 2008-02-13 Nazim A. Fatès

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state.…

统计力学 · 物理学 2009-10-30 Pratip Bhattacharyya

Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information…

适应与自组织系统 · 物理学 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor…

统计力学 · 物理学 2009-11-07 C. Burstedde , K. Klauck , A. Schadschneider , J. Zittartz

In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous CA model and take its continuum limit to obtain the governing…

计算物理 · 物理学 2019-11-20 Helena Ribera , Brian Wetton , Timothy Myers

Tungsten and cobalt carbonyls adsorbed on a substrate are typical starting points for the electron beam induced deposition of tungsten or cobalt based metallic nanostructures. We employ first principles molecular dynamics simulations to…

材料科学 · 物理学 2015-06-16 Kaliappan Muthukumar , Roser Valenti , Harald O. Jeschke

The cellular automaton model is used to simulate diffusion and aggregation with dissociation of point particles in 2D. A continuous phase transition is found that separates creation of compact aggregates and fractal ones. The transition is…

计算物理 · 物理学 2015-04-17 Yuriy G. Gordienko , Elena E. Zasimchuk