Cluster Sums for Lattice Gases with Second Nearest Neighbour Interactions. II. One-Dimensional Lattice

1984 ◽  
Vol 53 (4) ◽  
pp. 1244-1251 ◽  
Author(s):  
Kunisuke Nisizima ◽  
Kazuyosi Ikeda
Keyword(s):  
Lattice Gases ◽  
Nearest Neighbour ◽  
Dimensional Lattice ◽  
One Dimensional

Diffusion in concentrated lattice gases. III. Tracer diffusion on a one-dimensional lattice

1983 ◽  
Vol 28 (10) ◽  
pp. 5711-5723 ◽  
Author(s):  
Henk van Beijeren ◽  
K. W. Kehr ◽  
R. Kutner
Keyword(s):  
Tracer Diffusion ◽  
Lattice Gases ◽  
Dimensional Lattice ◽  
One Dimensional

Physical nearest-neighbour models and non-linear time-series

1971 ◽  
Vol 8 (2) ◽  
pp. 222-232 ◽  
Author(s):  
M. S. Bartlett
Keyword(s):  
Equilibrium Distribution ◽  
Linear Models ◽  
Linear Time ◽  
Three Dimensional ◽  
Approximate Solutions ◽  
Nearest Neighbour ◽  
Spatial Equilibrium ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Non Linear

A general class of spatial-temporal Markov processes is defined leading to the standard spatial equilibrium distribution for nearest-neighbour models on a multi-dimensional lattice. Physical properties are obtainable from the marginal spatial spectral function. However, only the simplest one-dimensional case corresponds to a linear model with a readily derived spectrum. Non-linear models corresponding to two- and three-dimensional lattices are presented in their simplest terms, and a preliminary discussion of approximate solutions is included.

Physical nearest-neighbour models and non-linear time-series

1971 ◽  
Vol 8 (02) ◽  
pp. 222-232 ◽  
Author(s):  
M. S. Bartlett
Keyword(s):  
Equilibrium Distribution ◽  
Linear Models ◽  
Linear Time ◽  
Three Dimensional ◽  
Approximate Solutions ◽  
Nearest Neighbour ◽  
Spatial Equilibrium ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Non Linear

A general class of spatial-temporal Markov processes is defined leading to the standard spatial equilibrium distribution for nearest-neighbour models on a multi-dimensional lattice. Physical properties are obtainable from the marginal spatial spectral function. However, only the simplest one-dimensional case corresponds to a linear model with a readily derived spectrum. Non-linear models corresponding to two- and three-dimensional lattices are presented in their simplest terms, and a preliminary discussion of approximate solutions is included.

Cooperative diffusion in one-dimensional lattice gases

1993 ◽  
Vol 71 (5-6) ◽  
pp. 1133-1155 ◽  
Author(s):  
Douglas Poland ◽  
Sandra Song
Keyword(s):  
Lattice Gases ◽  
Dimensional Lattice ◽  
One Dimensional
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