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In systems removed from equilibrium, intrinsic microscopic fluctuations become correlated over distances comparable to the characteristic macroscopic length over which the external constraint is exerted. In order to investigate this…

comp-gas · Physics 2009-10-28 Alberto Suarez , Jean Pierre Boon , Patrick Grosfils

A continuous time Monte Carlo lattice gas dynamics is developed to model driven steady states of vortices in two dimensional superconducting networks. Dramatic differences are found when compared to a simpler Metropolis dynamics. Subtle…

Statistical Mechanics · Physics 2009-11-10 Violeta Gotcheva , Albert T. J. Wang , S. Teitel

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it…

comp-gas · Physics 2008-02-03 James D. Sterling , Shiyi Chen

We develop a theoretical and computational approach to deal with systems that involve a disparate range of spatio-temporal scales, such as those comprised of colloidal particles or polymers moving in a fluidic molecular environment. Our…

Soft Condensed Matter · Physics 2017-10-27 Adwait V. Datar , Maria Fyta , Umberto Marini Bettolo Marconi , Simone Melchionna

We consider compressible fluid flow on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ both an energetic variational approach and the first law of thermodynamics to make a…

Mathematical Physics · Physics 2022-12-20 Hajime Koba

A lattice-Boltzmann model for the study of the dynamics of oil-water-surfactant mixtures is constructed. The model, which is based on a Ginzburg-Landau theory of amphiphilic systems with a single, scalar order parameter, is then used to…

Soft Condensed Matter · Physics 2009-10-31 O. Theissen , G. Gompper , D. M. Kroll

The effect of a step wise change in the pillar density on the dynamics of droplets is investigated via three-dimensional lattice Boltzmann simulations. For the same pillar density gradient but different pillar arrangements, both motion over…

Soft Condensed Matter · Physics 2015-05-14 Nasrollah Moradi , fathollah Varnik , Ingo Steinbach

One of the most striking draw-backs of standard lattice gas methods over lattice Boltzmann methods is a much more limited range of transport parameters that can be achieved. It is common for lattice Boltzmann methods to use over-relaxation…

Computational Physics · Physics 2022-06-22 Kyle Strand , Alexander J. Wagner

The motion of ionic solutes and charged particles under the influence of an electric field and the ensuing hydrodynamic flow of the underlying solvent is ubiquitous in aqueous colloidal suspensions. The physics of such systems is described…

We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lattice. We analyze the underlying statistical assumptions…

Probability · Mathematics 2012-09-27 Cory Hauck , Yi Sun , Ilya Timofeyev

An approach based on a lattice version of the Boltzmann kinetic equation for describing multi-phase flows in nano- and micro-corrugated devices is proposed. We specialize it to describe the wetting/dewetting transition of fluids in presence…

Cellular Automata and Lattice Gases · Physics 2007-06-13 R. Benzi , L. Biferale , M. Sbragaglia , S. Succi , F. Toschi

This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid mechanics and nonlinear dynamics, which encompasses a range…

Most biological fluids are viscoelastic, meaning that they have elastic properties in addition to the dissipative properties found in Newtonian fluids. Computational models can help us understand viscoelastic flow, but are often limited in…

Fluid Dynamics · Physics 2021-03-25 Michael Kuron , Cameron Stewart , Joost de Graaf , Christian Holm

Computational fluid dynamics (CFD) requires a vast amount of compute cycles on contemporary large-scale parallel computers. Hence, performance optimization is a pivotal activity in this field of computational science. Not only does it…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-24 M. Wittmann , T. Zeiser , G. Hager , G. Wellein

I describe how lattice computations are being used to extract experimentally relevant features of the quark gluon plasma. I deal specifically with relaxation times, photon emissivity, strangeness yields, event by event fluctuations of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sourendu Gupta

We discuss some important issues arising from computational efforts in dynamical systems and fluid dynamics. Various individuals have misunderstood these issues since the onset of these problem areas; indeed, they have been routinely…

Mathematical Physics · Physics 2016-11-23 Lun-Shin Yao

The Lorentz lattice gas is studied from the perspective of computational complexity theory. It is shown that using massive parallelism, particle trajectories can be simulated in a time that scales logarithmically in the length of the…

comp-gas · Physics 2009-10-28 J. Machta , K. Moriarty

We develop our existing two-dimensional lattice-gas model to simulate the flow of single-phase, binary-immiscible and ternary-amphiphilic fluids. This involves the inclusion of fixed obstacles on the lattice, together with the inclusion of…

It is proposed a dimensional Lattice Boltzmann Method (LBM) of wide application for simulating fluid flow and heat transfer problems. The proposed LBM consists in the numerical solution of the discrete lattice Boltzmann equation (LBE) using…

Fluid Dynamics · Physics 2024-05-14 Ivan Talão Martins , Pablo Fariñas Alvariño , Luben Cabezas-Gómez

Lattice Boltzmann simulations of liquid-gas systems are believed to be restricted to modest density ratios of less than 10. In this article we show that reducing the speed of sound and, just as importantly, the interfacial contributions to…

Soft Condensed Matter · Physics 2007-05-23 A. J. Wagner , C. M. Pooley