arXiv subjects

Nelson A. Alves

Publications and source records attributed to Nelson A. Alves.

21 records · Page 2Linked to original sources

arXiv2000

Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations

The density of states for the three-dimensional Ising model is calculated with high-precision from multicanonical simulations. This allows us to estimate the leading partition function zeros for lattice sizes up to L=32. Combining previous statistics for smaller lattice sizes, we have evaluated the correction to scaling and the critical exponent $ν$ through out an analysis of a multi-parameter fit and of Bulirsch-Stoer (BST) extrapolation algorithm. The performance of the BST algorithm is also explored in case of the 2D Ising model, where the exact partition function zeros are known.

cond-mat.stat-mech↗

arXiv2000

Glass Transition Temperature and Fractal Dimension of Protein Free Energy Landscapes

The free-energy landscape of two peptides is evaluated at various temperatures and an estimate for its fractal dimension at these temperatures calculated. We show that monitoring this quantity as a function of temperature allows to determine the glass transition temperature.

cond-mat.stat-mech↗

arXiv1997

A new look at the 2D Ising model from exact partition function zeros for large lattice sizes

A general numerical method is presented to locate the partition function zeros in the complex beta plane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up tp L=64. We also propose an alternative method to evaluate corrections to scaling which relies only on the leading zeros. This method is illustrated with our data.

cond-mat.stat-mech↗