Driven diffusion, Kawasaki dynamics, mixing, and spatial ordering in an interacting lattice gas

Yan He; Ras B. Pandey

doi:10.1103/physrevlett.71.565

Driven diffusion, Kawasaki dynamics, mixing, and spatial ordering in an interacting lattice gas

Physical Review Letters ◽

10.1103/physrevlett.71.565 ◽

1993 ◽

Vol 71 (4) ◽

pp. 565-568 ◽

Cited By ~ 15

Author(s):

Yan He ◽

Ras B. Pandey

Keyword(s):

Lattice Gas ◽

Kawasaki Dynamics ◽

Spatial Ordering

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Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus

The Annals of Probability ◽

10.1214/14-aop930 ◽

2015 ◽

Vol 43 (4) ◽

pp. 2151-2203 ◽

Cited By ~ 3

Author(s):

B. Gois ◽

C. Landim

Keyword(s):

Lattice Gas ◽

Temperature Limit ◽

Two Dimensional ◽

Zero Temperature ◽

Kawasaki Dynamics ◽

Dimensional Torus ◽

Ising Lattice

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Parallel Monte Carlo Algorithms for Domain Growth Kinetics

International Journal of Modern Physics C ◽

10.1142/s0129183191000718 ◽

1991 ◽

Vol 02 (01) ◽

pp. 468-474

Author(s):

W. SCHLEIER ◽

G. BESOLD ◽

K. HEINZ

Keyword(s):

Monte Carlo ◽

Growth Kinetics ◽

Lattice Gas ◽

Domain Growth ◽

Nucleation Process ◽

Kawasaki Dynamics ◽

Spatial Correlations ◽

Monte Carlo Algorithms ◽

Lattice Gas Models ◽

Domain Growth Kinetics

We study the applicability of parallelized Monte Carlo algorithms to the simulation of domain growth in 2-dim. lattice gas models after a quench into an ordered phase. Conventional parallelized algorithms with KAWASAKI dynamics introduce artificial spatial correlations into the system. However, only if superstructure domains evolve, these correlations will modify the kinetics by influencing the nucleation process and result in a reduced kinetic exponent. Two improved algorithms with slightly reduced degree of parallelism suitable for simulation of superstructure domain growth are presented and discussed.

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Ising Cellular Automata for Proton Diffusion on Protein Surfaces

International Journal of Modern Physics C ◽

10.1142/s0129183198000571 ◽

1998 ◽

Vol 09 (05) ◽

pp. 675-683 ◽

Cited By ~ 2

Author(s):

G. Careri ◽

D. Stauffer

Keyword(s):

Phase Transition ◽

Cellular Automata ◽

Lattice Gas ◽

Globular Proteins ◽

Hydrogen Ions ◽

Kawasaki Dynamics ◽

Protein Surfaces ◽

Ising Ferromagnet ◽

Proton Diffusion ◽

Diffusion Of Hydrogen

Q2R cellular automata are combined with Kawasaki dynamics to give an Ising ferromagnet with conserved magnetization and conserved energy. In its lattice gas interpretation, it may serve to describe the diffusion of hydrogen ions on the surface of globular proteins. Our computer simulations test to what extent the phase transition at the Curie point is still visible in small 10×10 lattices and t~104.

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