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Lattice gas

Rothman D H, Zaleski S, Lattice-gas models of phase separation: interfaces, phase transitions, and multiphase flow, RMP 66, 1417 (1994)

Simon B, The statistical mechanics of lattice gases, v 1 (Princeton University Press, 1993)

Spohn H, Large scale dynamics of interacting particles (Springer Verlag, Heidelberg, 1991)

Equilibrium properties

Short-range interaction

Rzysko W, Patrykiejew A, Binder K, Phase transitions in a two-dimensional lattice gas model of orientable diatomic molecules, PRB 72, 165416 (2005)

Scott A D, Sokal A D, The repulsive lattice gas, the independent-set polynomial, and the Lovasz local lemma, JSP 118, 1151 (2005)

Gimenez M C, Nieto F, Ramirez-Pastor A J, Thermal percolation for interacting monomers adsorbed on square lattices, JPA 38, 3253 (2005)

Lee H K, Okabe Y, Nonequilibrium reweighting on the driven diffusive lattice gas, JPA 38, L241 (2005)

Lyman E, Schmittmann B, Steady states of a nonequilibrium lattice gas, PRE 72, 036127 (2005)

de Oliveira A B, Barbosa M C, Density anomaly in a competing interactions lattice gas model, JPC 17, 399 (2005)

Finken R, Hansen J P, Louis A A, Phase separation of a multiple occupancy lattice gas, JPA 37, 577 (2004)

Lafuente L, Cuesta J A, Density functional theory for general hard-core lattice gases, PRL 93, 130603 (2004)

Lafuente L, Cuesta J A, Phase behavior of hard-core lattice gases: a fundamenatl measure approach, cond-mat/0306221

Lyman E, Schmittmann B, A nonequilibrium lattice gas of two-species: Monte Carlo investigations, cond-mat/0303533

Prestipino S, Giaquinta P V, Density-functional theory of a lattice-gas model with vapour, liquid, and solid phases, JPC 15, 3931 (2003)

Vikhrenko V S, Groda Y G, Bokun G S, The diagram approximation for lattice systems, PLA 286, 127 (2001)

Heringa J R, Blote H W J, Luijten E, High-dimensional lattice gases, JPA 33, 2929 (2000)

Long-range interaction

Dickman R, Stell G, Phase diagram of the lattice restricted primitive model, cond-mat/9906364

Miscellaneous

Vavro J, An exact solution for the lattice gas model in one dimension, PRE 63, 057104 (2001)

Kinetics

On-site interaction

Oshanin G, Benichou O, Burlatsky S F, Moreau M, Biased tracer diffusion in hard-core lattice gases: Some notes on the validity of the Einstein relation, cond-mat/0209611

Perondi L F, Elliott R J, Kaski K, II. Tracer diffusion in a system with randomly distributed traps, JPC 9, 7949 (1997)

Perondi L F, Elliott R J, Kaski K, I. Tracer diffusion in bond-disordered square lattices, JPC 9, 7933 (1997)

Wichmann T, Wang K G, Kehr K W, Collective diffusion of lattice gases in disordered lattices in the absence of a single-particle diffusion coefficient, JPA 27, L263 (1994)

Short-range interaction

Gouyet J-F, Plapp M, Dieterich W, Maass P, Description of far-from-equilibrium processes by mean-field lattice gas models, AP 52, 523 (2003)


Argyrakis P, Chumak A A, Maragakis M, Tracer diffusion in ordered lattice-gas systems with defect-controlled transport mechanisms, PRB 76, 054209 (2007)

P Argyrakis, M Maragakis, O Chumak, A Zhugayevych, Dynamic correlations in an ordered c(2x2) lattice gas, PRB 74, 035418 (2006) – doi

Caracciolo S, Gambassi A, Gubinelli M, Pelissetto A, Critical behavior of the two-dimensional randomly driven lattice gas, PRE 72, 056111 (2005)

Siders P D, Effects of field orientation on the driven lattice gas, JSP 119, 861 (2005)

Zaluska-Kotur M A, Gortel Z W, Kinetic lattice-gas model approach to collective diffusion in an ordered adsorbate in two dimensions, PRB 72, 235425 (2005)

Badowski L, Zaluska-Kotur M A, Gortel Z W, Collective diffusion in an interacting one-dimensional lattice gas: Arbitrary interactions, activation energy, and nonequilibrium diffusion, PRB 72, 245413 (2005)

Argyrakis P, Chumak A A, Maragakis M, Fluctuations in an ordered c(2x2) two-dimensional lattice-gas system with repulsive interactions, PRB 71, 224304 (2005)

Bernardin C, Fluctuations for Kawasaki dynamics, JSP 119, 827 (2005)

Nardi F R, Olivieri E, Scoppola E, Anisotropy effects in nucleation for conservative dynamics, JSP 119, 539 (2005)

Lefevere R, Tasaki H, High-temperature expansion for nonequilibrium steady states in driven lattice gases, PRL 94, 200601 (2005)

Gortel Z W, Zaluska-Kotur M A, Chemical diffusion in an interacting lattice gas: Analytic theory and simple applications, PRB 70, 125431 (2004)

Shneidman V A, On the lowest energy nucleation path in a supersaturated lattice gas, JSP 112, 293 (2003)

Argyrakis P, Chumak A A, Mass transport in an ordered three-dimensional lattice-gas system, PRB 66, 054303 (2002)

Chumak A A, Uebing C, Lattice-gas transport at subcritical temperatures, Surf Sci 476, 129 (2001)

Bokun G S, Groda Y G, Uebing C, Vikhrenko V S, Statistical-mechanical description of diffusion in interacting lattice gases, PA 296, 83 (2001)

Chumak A A, Uebing C, Tracer diffusion and correlations in ordered adsorption systems with defect-controlled transport mechanisms, Eur Phys J B 17, 713 (2000)

Chvoj Z, Dynamics of adsorbed atoms under non-equilibrium conditions, JPC 12, 2135 (2000)

Tarasenko A A, Nieto F, Jastrabik L, Uebing C, Adatom diffusion on a square lattice: Theoretical and numerical studies, Eur Phys J D 12, 311 (2000)

Tarasenko A A, Jastrabik L, Nieto F, Uebing C, Adatom diffusion on a square lattice: Comparison of real-space renormalization group and Monte Carlo approaches, PRB 59, 8252 (1999)

Chumak A A, Uebing C, Theoretical description of adatom migration in two-dimensional highly-ordered state, Eur Phys J B 9, 323 (1999)

Chumak A A, Uebing C, Diffusion of adatoms with strong repulsive interaction, Ukr J Phys 44, 180 (1999)

Vattulainen I, Ying S C, Ala-Nissila T, Merikoski J, Memory effects and coverage dependence of surface diffusion in a model adsorption system, PRB 59, 7697 (1999)

Vattulainen I, Merikoski J, Ala-Nissila T, Ying S C, Adatom dynamics and diffusion in a model of O/W(110), PRB 57, 1896 (1998)

Nieto F, Uebing C, Competition between ordering and heterogeneity effects on surface diffusion, PA 258, 123 (1998)

Tarasenko A A, Jastrabik L, Uebing C, Diffusion on a honeycomb lattice: Real-space renormalization-group approach, PRB 57, 10166 (1998)

Viljoen E C, Uebing C, Effects of heterogeneity on the surface diffusion of interacting lattice gases: the bivariate trap model, Surf Sci 352, 1007 (1996)

Uebing C, Gomer R, A Monte Carlo study of surface diffusion coefficients in the presence of adsorbate-adsorbate interactions. IV. Attractive nearest-neighbor and repulsive next-nearest-neighbor interactions, JCP 95, 7648 (1991)

Uebing C, Gomer R, A Monte Carlo study of surface diffusion coefficients in the presence of adsorbate-adsorbate interactions. III. Repulsive nearest-neighbor and attractive next-nearest-neighbor interactions, JCP 95, 7641 (1991)

Uebing C, Gomer R, A Monte Carlo study of surface diffusion coefficients in the presence of adsorbate-adsorbate interactions. II. Attractive interactions, JCP 95, 7636 (1991)

Uebing C, Gomer R, A Monte Carlo study of surface diffusion coefficients in the presence of adsorbate-adsorbate interactions. I. Repulsive interactions, JCP 95, 7626 (1991)

Spohn H, Tracer diffusion in lattice gases, JSP 59, 1227 (1990)

Long-range interaction

Giacomin G, Lebowitz J L, Marra R, Macroscopic evolution of particle systems with short- and long-range interactions, Nonlinearity 13, 2143 (2000)

Dean D S, Parisi G, Statistical mechanics of a two-dimensional system with long range interactions, cond-mat/9711057

Miscellaneous

Succi S, Karlin I V, Chen H, Role of the H theorem in lattice Boltzmann hydrodynamic simulations, RMP 74, 1203 (2002)

Tovbin Tu K, Lattice-gas model in kinetic theory of gas-solid interface processes, Prog Surf Sci 34, 1 (1990)


Landim C, Ramirez J A, Yau H, Superdiffusivity of two dimensional lattice gas models, JSP 119, 963 (2005)

Faggionato A, Martinelli F, Hydrodynamic limit of a disordered lattice gas, math/0302123

Ishikawa A, Ogawa T, Dynamics of spinodal decomposition in finite-lifetime systems: Nonlinear statistical theory based on a coarse-grained lattice-gas model, PRE 65, 026131 (2002)

Kessler M, Dieterich W, Frisch H L, Gouyet J F, Maass P, Kinetics in one-dimensional lattice gas and Ising models from time-dependent density functional theory, cond-mat/0201456

Sanchez J R, Aldao C M, Effects of correlations and lattice gas restriction on the collective diffusion, Surf Sci 479, 224 (2001)

Few-particle systems

Perondi L F, Kaski K, Elliott R J, Two-particle approximation to the diffusion coefficient of a tracer particle, JPC 12, 7199 (2000)

Romer R A, Leadbeater M, Schreiber M, Scaling the localisation lengths for two interacting particles in one-dimensional random potentials, PA 266, 481 (1999)

Aslangul C, Diffusion of two repulsive particles in a one-dimensional lattice, cond-mat/9903446

Asymmetric simple exclusion process

Asymmetric simple exclusion process (Wikipedia)