Critical Behaviour of Some 2D Lattice Models

• Authors: G. Kamieniarz , H. Blöte , R. Dekeyser
• Languages of publication: EN

Abstracts

EN

The density series of the non-interacting hard-square lattice gas model are reanalyzed by the ratio, Dlog Padé and differential approximant methods. The problem of poor consistency between series and other results is resolved. Transfer matrix calculations are performed, implementing both finite-size scaling and conformal invariance. Very accurate estimates of the critical exponents y_{t}, and y_{h} are obtained in agreement with Ising universality. Furthermore, an improvement of the value of the critical density ρ_{c} is found. In addition, the universal critical-point ratios of the square of the second and the fourth moment of the magnetization for ferromagnetic Ising models on the square and on the triangular lattice with periodic boundary conditions are reported.

Keywords

EN

05.50.+q; 64.60.-i; 64.60.Cn; 64.60.Ak; 64.60.Fr; 75.40.Mg

Discipline

• 75.40.Mg: Numerical simulation studies
• 64.60.-i: General studies of phase transitions(see also 63.70.+h Statistical mechanics of lattice vibrations and displacive phase transitions; for critical phenomena in solid surfaces and interfaces, and in magnetism, see 68.35.Rh, and 75.40.-s, respectively)
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)
• 64.60.Cn: Order-disorder transformations(see also 81.30.Hd Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder in materials science; for effects of disorder on superconducting transition temperature, see 74.62.En)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1994
• Volume: 85
• Issue: 2
• Pages: 389-393

Dates

published

1994-02

Contributors

author

G. Kamieniarz

• Institute of Theoretical Physics, KU Leuven, Belgium

author

H. Blöte

• Faculty of Applied Physics, Delft University of Technology, The Netherlands

author

R. Dekeyser

• Institute of Theoretical Physics, KU Leuven, Belgium

Identifiers

DOI

10.12693/APhysPolA.85.389