scholarly journals Sturmian Ground States in Classical Lattice–Gas Models

2019 ◽  
Vol 178 (3) ◽  
pp. 832-844 ◽  
Author(s):  
Aernout van Enter ◽  
Henna Koivusalo ◽  
Jacek Miȩkisz
Keyword(s):  
Lattice Gas ◽  
Ground States ◽  
Classical Lattice ◽  
Lattice Gas Models

The Classical Lattice-Gas Method

1999 ◽  
Author(s):  
Jeffrey Yepez
Keyword(s):  
Lattice Gas ◽  
Classical Lattice

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.

UNIFORM ERGODIC THEOREMS ON APERIODIC LINEARLY REPETITIVE TILINGS AND APPLICATIONS

2008 ◽  
Vol 20 (05) ◽  
pp. 597-623 ◽  
Author(s):  
ADNENE BESBES
Keyword(s):  
Lattice Gas ◽  
Weak Form ◽  
Ergodic Theorems ◽  
Self Similarity ◽  
Lattice Gas Models

The paper is concerned with aperiodic linearly repetitive tilings. For such tilings, we establish a weak form of self-similarity that allows us to prove general (sub)additive ergodic theorems. Finally, we provide applications to the study of lattice gas models.

Lattice gas models for nonideal gas fluids

1991 ◽  
Vol 47 (1-2) ◽  
pp. 97-111 ◽  
Author(s):  
Shiyi Chen ◽  
Hudong Chen ◽  
Gary D. Doolen ◽  
Y.C. Lee ◽  
H. Rose ◽  
...  
Keyword(s):  
Lattice Gas ◽  
Nonideal Gas ◽  
Lattice Gas Models
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