Finite-size analysis of the hard-square lattice gas
نویسندگان
چکیده
منابع مشابه
Finite-size analysis of the hard-square lattice gas.
We investigate the hard-square lattice-gas model by means of transfer-matrix calculations and a finite-size-scaling analysis. Using a minimal set of assumptions we find that the spectrum of correction-to-scaling exponents is consistent with that of the exactly solved Ising model, and that the critical exponents and correlation-length amplitudes closely follow the relation predicted by conformal...
متن کاملHigh-activity perturbation expansion for the hard square lattice gas.
We study a system of particles with nearest- and next-nearest-neighbor exclusion on the square lattice (hard squares). This system undergoes a transition from a fluid phase at low density to a columnar-ordered phase at high density. We develop a systematic high-activity perturbation expansion for the free energy per site about a state with perfect columnar order. We show that the different term...
متن کاملFinite-Size Critical Behavior of the Driven Lattice Gas
We present a detailed Monte Carlo study of the high-temperature phase of the two-dimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, study its finite-size-scaling behavior and extrapolate it to the infinite-volume limit by using an iterative extrapolation method. The same method is applied to the susceptibility. We determine the transverse exp...
متن کاملTransfer-Matrix Study of Hard-Core Singularity for Hard-Square Lattice Gas
A singularity on the negative fugacity axis of the hard-square lattice gas is investigated in terms of numerical diagonalization of transfer matrices. The location of the singular point z− c 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...
متن کاملFinite-Size Scaling in the Driven Lattice Gas
We present a Monte Carlo study of the high-temperature phase of the twodimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, verify that this definition has a good infinite-volume limit independent of the lattice geometry, and study its finite-size-scaling behavior. The results for the correlation length are in good agreement with the prediction...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.66.046140