2009

autoScale.py - A program for automatic finite-size scaling analyses: A user's guide

Melchert, O.

Understand

autoScale.py is a program that performs an automatic finite-size scaling analysis for given sets of simulated data.

  • It implements a quite general scaling assumption and optimizes an initial set of scaling parameters that enforce a data collapse of the different data sets.
  • The presented guide describes how the program works, it presents a detailed example and finally gives some hints on how to improve the results of a scaling analysis.

Built on

  • J. A. Nelder and R. Mead, A simple method for function minimization , Computer Journal 7

    1965

    Earlier work this paper cites.

  • D. Stauffer, Scaling theory of percolation clusters , Phys. Rep. 54

    1979

    Earlier work this paper cites.

  • W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C , Cambridge University Press, Cambridge, U.K., 1992

    1992

    Earlier work this paper cites.

  • N. Kawashima and N. Ito, Critical Behavior of the Three-Dimensional ± J \pm J Model in a Magnetic Field , J. Phys. Soc. Jpn. 62

    1993

    Earlier work this paper cites.

  • M. E. J. Newman and R. M. Ziff, Efficient Monte Carlo Algorithm and High-Precision Results for Percolation , Phys. Rev. Lett. 85

    2000

    Earlier work this paper cites.

Similar

  • S. M. Bhattacharjee and F. Seno, A measure of data collapse for scaling , J. Phys. A: Math. Gen. 34

    2001

    Cited alongside, same era.

  • J. Houdayer and A. K. Hartmann, Low-temperature behavior of two-dimensional Gaussian Ising spin glasses , Phys. Rev. B

    2004

    Cited alongside, same era.

  • S. Wenzel, E. Bittner, W. Janke, and A. M. J. Schakel, Percolation of vortices in the 3D Abelian lattice Higgs model , Nucl. Phys. B 793

    2008

    Cited alongside, same era.

  • F. Winter, W. Janke, and A. M. J. Schakel, Geometric properties of the three-dimensional Ising and XY models , Phys. Rev. E 77

    2008

    Cited alongside, same era.

  • The source code of autoScale.py

    Cited in the paper.

  • Python is a high-level general-purpose programming language that can be applied to many different classes of problems, see http://www.python.org/

    Cited in the paper.

  • S. Wolfsheimer, O. Melchert, and A. K. Hartmann, Finite-temperature local protein sequence alignment: percolation and free-energy distribution , Preprint arXiv:0907.2187v1

    Original

    Cited in the paper.

  • Gnuplot is a command-line driven interactive data and function plotting utility, see http://www.gnuplot.info

    Cited in the paper.

Then

  • O. Melchert and A. K. Hartmann, Negative-weight percolation , New. J. Phys. 10

    2008

    Later among the works it cites.

  • L. Apolo, O. Melchert, and A. K. Hartmann, Phase transitions in diluted negative-weight percolation models , Phys. Rev. E 79

    2009

    Closest in time.

  • O. Melchert and A. K. Hartmann, Scaling behavior of domain walls at the T = 0 T=0 ferromagnet to spin-glass transition , Phys. Rev. B 79

    2009

    Closest in time.

  • A. K. Hartmann, Practical Guide to Computer Simulations , World Scientific, Singapore, 2009

    2009

    Closest in time.

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