arXiv subjects

Hiroaki Arisue

Publications and source records attributed to Hiroaki Arisue.

2 recordsLinked to original sources

arXiv2008

High-Temperature Expansion of the Free Energy in the Two-Dimensional XY Model

We extend the high-temperature series of the free energy for the XY model in two dimensions to order $β^{48}$ from the previous order of $β^{22}$ by applying the improved algorithm of the finite lattice method. The long series obtained enables us to conclude that the behavior of the free energy is consistent in high accuracy with what is expected when the phase transition of the model is of the Kosterlitz-Thouless type .

cond-mat.stat-mech↗

arXiv2002

New Algorithm of the Finite Lattice Method for the High-temperature Expansion of the Ising Model in Three Dimensions

We propose a new algorithm of the finite lattice method to generate the high-temperature series for the Ising model in three dimensions. It enables us to extend the series for the free energy of the simple cubic lattice from the previous series of 26th order to 46th order in the inverse temperature. The obtained series give the estimate of the critical exponent for the specific heat in high precision.

hep-lat↗