Abstract
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({infinity}) {sigma}-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. ((orig.)).
Caracciolo, S;
[1]
Edwards, R G;
[2]
Ferreira, S J;
[3]
Pelissetto, A;
[4]
Sokal, A D
[5]
- Lecce Univ. (Italy). Dipartimento di Fisica and INFN
- Florida State Univ., Tallahassee, FL (United States). Supercomputer Computations Research Inst. (SCRI)
- Departamento de Fisica, Universidade Federal de Minas Gerais, Belo Horizonte, MG 30161 (Brazil)
- Dipartimento di Fisica and INFN - Sezione di Pisa, Universita degli Studi di Pisa, Pisa 56100 (Italy)
- Department of Physics, New York University, 4 Washington Place, New York, NY 10003 (United States)
Citation Formats
Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D.
New method for the extrapolation of finite-size data to infinite volume.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00370-O.
Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, & Sokal, A D.
New method for the extrapolation of finite-size data to infinite volume.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00370-O
Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D.
1995.
"New method for the extrapolation of finite-size data to infinite volume."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00370-O.
@misc{etde_101073,
title = {New method for the extrapolation of finite-size data to infinite volume}
author = {Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D}
abstractNote = {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({infinity}) {sigma}-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. ((orig.)).}
doi = {10.1016/0920-5632(95)00370-O}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {New method for the extrapolation of finite-size data to infinite volume}
author = {Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D}
abstractNote = {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({infinity}) {sigma}-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. ((orig.)).}
doi = {10.1016/0920-5632(95)00370-O}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}