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

TRANSFER-MATRIX STUDY OF NEGATIVE-FUGACITY SINGULARITY OF HARD-CORE LATTICE GAS

1999 ◽  
Vol 10 (04) ◽  
pp. 517-529 ◽  
Author(s):  
SYNGE TODO
Keyword(s):  
Large Scale ◽  
Lattice Gas ◽  
Central Charge ◽  
Hard Core ◽  
Universality Class ◽  
Two Dimensions ◽  
Square Lattice ◽  
Lattice Gas Models ◽  
Renormalization Technique ◽  
Phenomenological Renormalization

A singularity on the negative-fugacity axis of the hard-core lattice gas is investigated in terms of numerical diagonalization of large-scale transfer matrices. For the hard-square lattice gas, the location of the singular point [Formula: see text] and the critical exponent ν are accurately determined by the phenomenological renormalization technique as -0.11933888188(1) and 0.416667(1), respectively. It is also found that the central charge c and the dominant scaling dimension xσ are -4.399996(8) and -0.3999996(7), respectively. Similar analyses for other hard-core lattice-gas models in two dimensions are also performed, and it is confirmed that the universality between these models does hold. These results strongly indicate that the present singularity belongs to the same universality class as the Yang–Lee edge singularity.

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

INTERFACE INSTABILITY IN DRIVEN LATTICE GASES

Fractals ◽  
1993 ◽  
Vol 01 (04) ◽  
pp. 954-958 ◽  
Author(s):  
G. SZABÓ ◽  
A. SZOLNOKI ◽  
T. ANTAL ◽  
I. BORSOS
Keyword(s):  
Lattice Gas ◽  
Nearest Neighbor ◽  
Interfacial Instability ◽  
Lattice Gases ◽  
Square Lattice ◽  
Wave Number ◽  
Material Transport ◽  
Interface Instability ◽  
Amplification Rate ◽  
Lattice Gas Models

In driven lattice-gas models, the enhanced material transport along the interfaces results in an instability of the planar interfaces and leads to the formation of multistrip states. To study the interfacial instability, Monte Carlo simulations are performed on different square lattice-gas models. The amplification rate of a periodic perturbation depends on the wave number k; it has a positive maximum at a characteristic value of k on the analogy of the Mullins-Sekerka instability. Significant differences have been found in the dependence of amplification rate on k when comparing the systems with nearest neighbor repulsive and nearest and next-nearest neighbor attractive interactions. The results agree qualitatively with theories neglecting the fluctuations.

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.

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.

Phase Transitions in the Hard-Square Lattice Gas

1966 ◽  
Vol 16 (23) ◽  
pp. 1038-1039 ◽  
Author(s):  
A. Bellemans ◽  
R. K. Nigam
Keyword(s):  
Phase Transitions ◽  
Lattice Gas ◽  
Square Lattice

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
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