scholarly journals Phase Transitions in Lattice-Gas Models Far from Equilibrium

1984 ◽  
Vol 53 (8) ◽  
pp. 806-809 ◽  
Author(s):  
Henk van Beijeren ◽  
Lawrence S. Schulman
Keyword(s):  
Phase Transitions ◽  
Lattice Gas ◽  
Lattice Gas Models ◽  
Far From Equilibrium

STOCHASTIC AND HYDRODYNAMIC LATTICE GAS MODELS: MEAN-FIELD KINETIC APPROACHES

2002 ◽  
Vol 12 (02) ◽  
pp. 227-259 ◽  
Author(s):  
JEAN-FRANÇOIS GOUYET ◽  
CÉCILE APPERT
Keyword(s):  
Phase Transitions ◽  
Lattice Gas ◽  
Kinetic Equations ◽  
Mean Field ◽  
Lattice Gases ◽  
Practical Applications ◽  
Lattice Gas Models ◽  
Far From Equilibrium ◽  
Thermodynamic Phase ◽  
Field Approaches

Fascinating tools to understand the link between microscopic and macroscopic dynamics in many systems, lattice gases have been developed into two important directions: thermodynamic phase transitions and hydrodynamics. Here we present how mean-field approaches allow a more thorough analysis of these systems. The kinetic equations are nonlinear and allow to consider far from equilibrium systems. Another important advantage is to gain more flexibility for practical applications.

Lattice-Gas Models of Electrochemical Adsorption: Static and Dynamic Aspects

1996 ◽  
Vol 451 ◽  
Author(s):  
Per Arne Rikvold ◽  
Andrzej Wieckowski ◽  
Raphael A. Ramos
Keyword(s):  
Lattice Gas ◽  
Time Dependent ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Lateral Interactions ◽  
Model Formulation ◽  
Lattice Gas Models ◽  
Statistical Mechanical ◽  
Far From Equilibrium ◽  
Electrochemical Adsorption

ABSTRACTWe discuss applications of statistical-mechanical lattice-gas models to electrochemical adsorption. Our strategy to describe specific systems includes microscopic model formulation, calculation of zero-temperature phase diagrams, numerical simulation of thermody-namic and structural quantities at nonzero temperatures, and estimation of effective, lateral interactions. We report applications to adsorption on single-crystal electrodes, presenting simulated and experimental coverages and voltammetric currents for urea on Pt(100) and the underpotential deposition of Cu on Au(111) in sulfuric acid. We also discuss an extension of the method to study time-dependent phenomena far from equilibrium.

Phase transitions in centered-rectangular- and square-lattice-gas models

1983 ◽  
Vol 27 (11) ◽  
pp. 6777-6786 ◽  
Author(s):  
K. Kaski ◽  
W. Kinzel ◽  
J. D. Gunton
Keyword(s):  
Phase Transitions ◽  
Lattice Gas ◽  
Square Lattice ◽  
Lattice Gas Models

SELECTED PROPERTIES OF Y-Ba-Cu-O IN CONNECTION WITH THE PROPERTIES OF Cu-O CHAINS

1992 ◽  
Vol 06 (13) ◽  
pp. 2291-2319 ◽  
Author(s):  
G. UIMIN
Keyword(s):  
Phase Transitions ◽  
Lattice Gas ◽  
Structural Phase ◽  
Quantitative Interpretation ◽  
Structural Phase Transitions ◽  
Superconducting Properties ◽  
Chain Fragment ◽  
Formative Stage ◽  
Lattice Gas Models

Here we discuss some experimental evidence which supports a significant role of …-Cu-O…chain fragments, situated in oxygen deficient planes, in the doping of carriers into CuO 2 planes, in structural phase transitions and in many other normal and superconducting properties of Y-Ba-Cu-O . The relevant experiments are associated with the structural, magnetic, XAS, NMR/NQR investigations. The well-established phase diagram of YBa 2 Cu 3 O 6+x, i-e., the Néel, T N , and superconducting, T c , transition temperatures versus the oxygen content x, is the basis of the theory which should explain the structural phase transitions as well as the charge transfer mechanism. It appears that lattice-gas models do not answer all the requirements, particularly, concerned with the intrinsic chain fragments. Although the theory of the oxygen deficient plane, sharing quantum mechanics of finite chain fragments, statistical mechanics of the chain fragment ensemble as well as Monte Carlo simulations, is in its formative stage yet, it can readily apply to quantitative interpretation of selected experiments.

Phase transitions in lattice gas models for water

1979 ◽  
Vol 20 (4) ◽  
pp. 371-383 ◽  
Author(s):  
Ole J. Heilmann ◽  
Dale A. Huckaby
Keyword(s):  
Phase Transitions ◽  
Lattice Gas ◽  
Lattice Gas Models

Description of far-from-equilibrium processes by mean-field lattice gas models

2003 ◽  
Vol 52 (6) ◽  
pp. 523-638 ◽  
Author(s):  
J.-F. Gouyet ◽  
M. Plapp ◽  
W. Dieterich ◽  
P. Maass
Keyword(s):  
Lattice Gas ◽  
Mean Field ◽  
Equilibrium Processes ◽  
Lattice Gas Models ◽  
Far From Equilibrium
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