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Cellular Automata (CA), as they are presented in the literature, are abstract mathematical models of computation. In this pa- per we present an alternate approach: using the CA as a model or theory of physical systems and devices. While…

Discrete Mathematics · Computer Science 2008-09-11 Donny Cheung , Carlos A. Perez-Delgado

A stochastic representation of the dynamics of open quantum systems, suitable for non-perturbative system-reservoir interaction, non-Markovian effects and arbitrarily driven systems is presented. It includes the case of driving on…

Statistical Mechanics · Physics 2016-10-05 Jürgen T. Stockburger

We report on a novel dynamic phase in electrical networks, in which current channels perpetually change in time. This occurs when the individual elements of the network are fuse-antifuse devices, namely, become insulators within a certain…

Disordered Systems and Neural Networks · Physics 2017-01-04 Cesar I. N. Sampaio Filho , Andre A. Moreira , Nuno A. N. Araujo , Jose S. Andrade , Hans J. Herrmann

In this paper I present a first attempt for a possible description of fluids dynamics by mean of a cellular automata technique. With the use of simple and elementary rules, based on random behaviour either, the model permits to obtain the…

Computational Complexity · Computer Science 2007-05-23 Gianluca Argentini

Continuum hydrodynamic models of active liquid crystals have been used to describe dynamic self-organising systems such as bacterial swarms and cytoskeletal gels. A key prediction of such models is the existence of self-stabilising kink…

Soft Condensed Matter · Physics 2009-11-13 S. A. Edwards , J. M. Yeomans

We consider the problem of metastability in a probabilistic cellular automaton (PCA) with a parallel updating rule which is reversible with respect to a Gibbs measure. The dynamical rules contain two parameters $\beta$ and $h$ which…

Statistical Mechanics · Physics 2009-10-31 Stephen Bigelis , Emilio N. M. Cirillo , Joel L. Lebowitz , Eugene R. Speer

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps.…

Biological Physics · Physics 2007-05-23 L. P. Endresen , K. Hall , J. S. Hoye , J. Myrheim

It is known that both quantum and classical cellular automata (CA) exist that are computationally universal in the sense that they can simulate, after appropriate initialization, any quantum or classical computation, respectively. Here we…

Quantum Physics · Physics 2010-09-10 Dominik Janzing

Both cellular automata (CA) and lattice-gas automata (LG) provide finite algorithmic presentations for certain classes of infinite dynamical systems studied by symbolic dynamics; it is customary to use the term `cellular automaton' or…

Cellular Automata and Lattice Gases · Physics 2007-09-11 Tommaso Toffoli , Silvio Capobianco , Patrizia Mentrasti

The filtration of fluid in 2D porous medium is simulated by the molecular dynamics technique. The high concentration of fluid is created at the initial point in time and the number of fluid particles is investigated in all porous. The…

Fluid Dynamics · Physics 2007-05-23 Marat N. Ovchinnikov

New computational tools for solid-state synthesis recipe design are needed in order to accelerate the experimental realization of novel functional materials proposed by high-throughput materials discovery workflows. This work contributes a…

Materials Science · Physics 2024-07-30 Max C. Gallant , Matthew J. McDermott , Bryant Li , Kristin A. Persson

We introduce Neural Particle Automata (NPA), a Lagrangian generalization of Neural Cellular Automata (NCA) from static lattices to dynamic particle systems. Unlike classical Eulerian NCA where cells are pinned to pixels or voxels, NPA model…

Neural and Evolutionary Computing · Computer Science 2026-01-23 Hyunsoo Kim , Ehsan Pajouheshgar , Sabine Süsstrunk , Wenzel Jakob , Jinah Park

We combine a DEM simulation with a stochastic process to model the movement of spherical particles in a turbulent channel flow. With this model we investigate the mixing properties of two species of particles flowing through the channel. We…

Fluid Dynamics · Physics 2011-06-20 Thomas Burgener , Dirk Kadau , Hans J. Herrmann

We study a quantum cellular automaton (QCA) whose time-evolution is defined from global transition function of classical cellular automata (CA). In order to investigate natural transformations from CA to QCA, the present QCA includes CA…

Quantum Physics · Physics 2009-11-11 Norio Inui , Shuichi Inokuchi , Yoshihiro Mizoguchi , Norio Konno

In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial value problem, corresponding to the inhomogeneous quench and…

Statistical Mechanics · Physics 2019-06-26 Marko Medenjak , Vladislav Popkov , Tomaž Prosen , Eric Ragoucy , Matthieu Vanicat

We combine computer simulations and analytical theory to investigate the glassy dynamics in dense assemblies of athermal particles evolving under the sole influence of self-propulsion. The simulations reveal that when the persistence time…

Soft Condensed Matter · Physics 2015-06-30 Grzegorz Szamel , Elijah Flenner , Ludovic Berthier

We study intrinsic simulations between cellular automata and introduce a new necessary condition for a CA to simulate another one. Although expressed for general CA, this condition is targeted towards surjective CA and especially linear…

Discrete Mathematics · Computer Science 2011-12-09 Vincent Nesme , Guillaume Theyssier

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston

Classical reversible cellular automata (CAs), which describe the discrete-time dynamics of classical degrees of freedom in a finite state-space, can exhibit exact, nonthermal quantum eigenstates despite being classically chaotic. We show…

Strongly Correlated Electrons · Physics 2020-11-30 Thomas Iadecola , Sagar Vijay

We introduce a novel model for active particles with short-range aligning interactions and study their behaviour in crowded environments using numerical simulations. When only active particles are present, we observe a transition from a…

Computational Physics · Physics 2017-12-06 Simon Nilsson , Giovanni Volpe
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