Extrapolating Monte Carlo simulations to infinite volume: Finite-size scaling at xi /L >> 1.

نویسندگان

  • Caracciolo
  • Edwards
  • Ferreira
  • Pelissetto
  • Sokal
چکیده

We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three examples: the two-dimensional three-state Potts antiferromagnet on the square lattice, and the two-dimensional O(3) and O(~) cr models. In favorable cases it is possible to obtain reliable extrapolations (errors of a few percent) even when the correlation length is 1000 times larger than the lattice.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Monte Carlo Simulation of the Three-dimensional Ising Spin Glass

Abstract. We study the 3D Edwards–Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite–size scaling is provided, and the universal finite–size scaling functions are determined. Using an iterative extrapolation procedure, Monte Carlo data are extrapolated to infinite volume up to correlation length ξ ≈ 140. The infinite volume data are consistent with bot...

متن کامل

ar X iv : h ep - l at / 9 60 80 10 v 1 2 A ug 1 99 6 Finite size scaling analysis with linked cluster expansions ∗

Linked cluster expansions are generalized from an infinite to a finite volume on a d-dimensional hypercubic lattice. They are performed to 20th order in the expansion parameter to investigate the phase structure of scalar O(N) models for the cases of N = 1 and N = 4 in 3 dimensions. In particular we propose a new criterion to distinguish first from second order transitions via the volume depend...

متن کامل

Finite size scaling analysis with linked cluster expansions

Linked cluster expansions are generalized from an infinite to a finite volume on a d-dimensional hypercubic lattice. They are performed to 20th order in the expansion parameter to investigate the phase structure of scalar O(N) models for the cases of N = 1 and N = 4 in 3 dimensions. In particular we propose a new criterion to distinguish first from second order transitions via the volume depend...

متن کامل

Monte Carlo Study of Topological Defects in the 3D Heisenberg Model

We use single-cluster Monte Carlo simulations to study the role of topological defects in the three-dimensional classical Heisenberg model on simple cubic lattices of size up to 803. By applying reweighting techniques to time series generated in the vicinity of the approximate infinite volume transition point Kc, we obtain clear evidence that the temperature derivative of the average defect den...

متن کامل

Finite-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 کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review letters

دوره 74 15  شماره 

صفحات  -

تاریخ انتشار 1995