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

O Melchert - arXiv preprint arXiv:0910.5403, 2009 - arxiv.org
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 …

Percolation thresholds on planar Euclidean relative-neighborhood graphs

O Melchert - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
In the present article, statistical properties regarding the topology and standard percolation
on relative neighborhood graphs (RNGs) for planar sets of points, considering the Euclidean …

Scaling behavior of domain walls at the ferromagnet to spin-glass transition

O Melchert, AK Hartmann - Physical Review B—Condensed Matter and …, 2009 - APS
We study domain-wall excitations in two-dimensional random-bond Ising spin systems on a
square lattice with side length L, subject to two different continuous disorder distributions. In …

A dedicated algorithm for calculating ground states for the triangular random bond Ising model

O Melchert, AK Hartmann - Computer Physics Communications, 2011 - Elsevier
In the presented article we present an algorithm for the computation of ground state spin
configurations for the 2d random bond Ising model on planar triangular lattice graphs …

Typical and large-deviation properties of minimum-energy paths on disordered hierarchical lattices

O Melchert, AK Hartmann - The European Physical Journal B, 2013 - Springer
We perform numerical simulations to study the optimal path problem on disordered
hierarchical graphs with effective dimension d eff≈ 2.32. Therein, edge energies are drawn …

Percolation threshold on planar Euclidean Gabriel graphs

C Norrenbrock - The European Physical Journal B, 2016 - Springer
In the present article, numerical simulations have been performed to find the bond and site
percolation thresholds on two-dimensional Gabriel graphs (GG) for Poisson point processes …

Upper critical dimension of the negative-weight percolation problem

O Melchert, L Apolo, AK Hartmann - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
By means of numerical simulations, we investigate the geometric properties of loops on
hypercubic lattice graphs in dimensions d= 2 through 7, where edge weights are drawn from …

Phase transitions in diluted negative-weight percolation models

L Apolo, O Melchert, AK Hartmann - … Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We investigate the geometric properties of loops on two-dimensional lattice graphs, where
edge weights are drawn from a distribution that allows for positive and negative weights. We …

Mean-field behavior of the negative-weight percolation model on random regular graphs

O Melchert, AK Hartmann, M Mézard - … E—Statistical, Nonlinear, and Soft Matter …, 2011 - APS
We investigate both analytically and numerically the ensemble of minimum-weight loops in
the negative-weight percolation model on random graphs with fixed connectivity and …

Paths in the minimally weighted path model are incompatible with Schramm-Loewner evolution

C Norrenbrock, O Melchert, AK Hartmann - Physical Review E—Statistical …, 2013 - APS
We study numerically the geometrical properties of minimally weighted paths that appear in
the minimally weighted path (MWP) model on two-dimensional lattices assuming a …